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<!DOCTYPE html PUBLIC "-//W3C//DTD XHTML 1.1 plus MathML 2.0 plus SVG 1.1//EN" ""> |
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<html xmlns=""> |
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<head> |
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<title> |
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Dmitry Vladimirovich Alekseevsky in nLab |
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</title> |
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merror {display:inline;font-size:1em;} |
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math { white-space: nowrap } |
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body {counter-reset: theorem} |
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.un_lemma, .num_lemma, |
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.un_prop, .num_prop, |
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[actiontype="toggle"]:hover {text-shadow: #ccc 2px 2px 5px;} |
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math {font-family: STIX Two Math;} |
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On |
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G-structure |
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: |
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Dmitry Alekseevsky |
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, |
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<math class="maruku-mathml" display="inline" xmlns=""> |
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<semantics> |
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G |
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G |
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</annotation> |
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</semantics> |
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</math> |
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-structure on a manifold |
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</em> |
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in M. Hazewinkel (ed.) |
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<em> |
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Encyclopedia of Mathematics, Volume 4 |
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</em> |
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</li> |
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On |
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<a class="existingWikiWord"> |
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Sp(n).Sp(1) |
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</a> |
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- |
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<a class="existingWikiWord"> |
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special holonomy |
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</a> |
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: |
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<ul> |
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<li id="Alekseevskii68"> |
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<a class="existingWikiWord"> |
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Dmitri Alekseevskii |
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</a> |
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, |
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<a> |
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<em> |
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Riemannian spaces with exceptional holonomy groups |
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</em> |
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</a> |
|
, Functional Analalysis and its Applications (1968) 2: 97. |
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</li> |
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</ul> |
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<p> |
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On |
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<a class="existingWikiWord"> |
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quaternionic manifolds |
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</a> |
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and |
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<a class="existingWikiWord"> |
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quaternion-Kähler manifolds |
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</a> |
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in terms of |
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<a class="existingWikiWord"> |
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G-structure |
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</a> |
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: |
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</p> |
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<ul> |
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<li> |
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<p> |
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<a class="existingWikiWord"> |
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Dmitri V. Alekseevsky |
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</a> |
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, |
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<a class="existingWikiWord"> |
|
Stefano Marchiafava |
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</a> |
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, |
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<em> |
|
Quaternionic-like structures on a manifold: Note I. 1-integrability and integrability conditions |
|
</em> |
|
, Atti della Accademia Nazionale dei Lincei. |
|
<a> |
|
dml:244082 |
|
</a> |
|
) |
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</p> |
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</li> |
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<li> |
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<p> |
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<a class="existingWikiWord"> |
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Dmitri V. Alekseevsky |
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</a> |
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, |
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<a class="existingWikiWord"> |
|
Stefano Marchiafava |
|
</a> |
|
, |
|
<em> |
|
Quaternionic-like structures on a manifold: Note II. Automorphism groups and their interrelations |
|
</em> |
|
, Atti della Accademia Nazionale dei Lincei. |
|
<a> |
|
dml:244299 |
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</a> |
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) |
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</p> |
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</li> |
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<li> |
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<p> |
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<a class="existingWikiWord"> |
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Dmitry V. Alekseevsky |
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</a> |
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, |
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<a class="existingWikiWord"> |
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Stefano Marchiafava |
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</a> |
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, |
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<em> |
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Quaternionic structures on a manifold and subordinated structures |
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</em> |
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, Annali di Matematica pura ed applicata 171, 205–273 (1996) ( |
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<a> |
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doi:10.1007/BF01759388 |
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</a> |
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) |
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</p> |
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</li> |
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</ul> |
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<p> |
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On |
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<a class="existingWikiWord"> |
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Killing spinors |
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</a> |
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: |
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</p> |
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<ul> |
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<li> |
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<a class="existingWikiWord"> |
|
Dmitri Alekseevsky |
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</a> |
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, |
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<a class="existingWikiWord"> |
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Vicente Cortés |
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</a> |
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, |
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<a class="existingWikiWord"> |
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Chandrashekar Devchand |
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</a> |
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, |
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<a class="existingWikiWord"> |
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Uwe Semmelmann |
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</a> |
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, |
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<em> |
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Killing spinors are Killing vector fields in Riemannian Supergeometry |
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</em> |
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( |
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<a> |
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arXiv:dg-ga/9704002 |
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</a> |
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) |
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</li> |
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</ul> |
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<p> |
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On |
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<a class="existingWikiWord"> |
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Lie algebra extension |
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</a> |
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, |
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<a class="existingWikiWord"> |
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nonabelian Lie algebra cohomology |
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</a> |
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: |
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</p> |
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<ul> |
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<li id="ACDP"> |
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<p> |
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<a class="existingWikiWord"> |
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Dmitry Vladimirovich Alekseevsky |
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</a> |
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, |
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<a class="existingWikiWord"> |
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Vicente Cortés |
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</a> |
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, |
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<a class="existingWikiWord"> |
|
Chandrashekar Devchand |
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</a> |
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, |
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<a class="existingWikiWord"> |
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Antoine Van Proeyen |
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</a> |
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, |
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<em> |
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Polyvector Super-Poincaré Algebras |
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</em> |
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Commun.Math.Phys. 253 (2004) 385-422 ( |
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<a> |
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arXiv:hep-th/0311107 |
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</a> |
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) |
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</p> |
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</li> |
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<li> |
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<p> |
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<a class="existingWikiWord"> |
|
Dmitri Alekseevsky |
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</a> |
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, |
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<a class="existingWikiWord"> |
|
Peter Michor |
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</a> |
|
, Wolfgang Ruppert, Extensions of Lie algebras ( |
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<a> |
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math.DG/0005042 |
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</a> |
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) |
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</p> |
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</li> |
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</ul> |
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<p> |
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On |
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<a class="existingWikiWord"> |
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super Lie algebra |
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</a> |
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extensions: |
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</p> |
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<ul> |
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<li> |
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<a class="existingWikiWord"> |
|
Dmitri Alekseevsky |
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</a> |
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, |
|
<a class="existingWikiWord"> |
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Peter Michor |
|
</a> |
|
, Wolfgang Ruppert, |
|
<em> |
|
Extensions of super Lie algebras |
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</em> |
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, J. |
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<a> |
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arXiv:math/0101190 |
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</a> |
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) |
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</li> |
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</ul> |
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<h2 id="related_lab_entries"> |
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2. Related |
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<math class="maruku-mathml" display="inline" xmlns=""> |
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<semantics> |
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<mrow> |
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<mi> |
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n |
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</mi> |
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</mrow> |
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<annotation encoding="application/x-tex"> |
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n |
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</annotation> |
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</semantics> |
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</math> |
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Lab entries |
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</h2> |
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<ul> |
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<li> |
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<p> |
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<a class="existingWikiWord"> |
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Sp(n).Sp(1) |
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</a> |
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</p> |
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</li> |
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<li> |
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<p> |
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<a class="existingWikiWord"> |
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Killing spinor |
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</a> |
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</p> |
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</li> |
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<li> |
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<p> |
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<a class="existingWikiWord"> |
|
super Poincaré Lie algebra |
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</a> |
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</p> |
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</li> |
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<li> |
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<p> |
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<a class="existingWikiWord"> |
|
charge conjugation matrix |
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</a> |
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</p> |
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</li> |
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</ul> |
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category: |
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people |
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