Odd nilpotent cone of orthosymplectic Lie superalgebras

Caroline Gruson[1]; Séverine Leidwanger[2]

  • [1] Institut Elie Cartan, UMR 7502 du CNRS Faculté des sciences Université Henri Poincaré (Nancy 1) BP 239 54506 VANDOEUVRE-les-Nancy Cedex FRANCE
  • [2] Institut de mathématiques de Jussieu, UMR 7586, Equipe de Théorie des Groupes Case 7012 2 place Jussieu F-75251 Paris Cedex 05 FRANCE

Annales mathématiques Blaise Pascal (2010)

  • Volume: 17, Issue: 2, page 303-326
  • ISSN: 1259-1734

Abstract

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We study the odd nilpotent cone of orthosymplectic Lie superalgebras, we look at nilpotent orbits and their closure ordering and we give a desingularisation of the cone.

How to cite

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Gruson, Caroline, and Leidwanger, Séverine. "Cônes nilpotents des super algèbres de Lie orthosymplectiques." Annales mathématiques Blaise Pascal 17.2 (2010): 303-326. <http://eudml.org/doc/116354>.

@article{Gruson2010,
abstract = {Nous étudions le cône nilpotent impair des super algèbres de Lie orthosymplectiques. Nous nous intéressons aux orbites nilpotentes impaires qui le constituent, à la relation d’ordre sur leurs adhérences et donnons une désingularisation de ce cône .},
affiliation = {Institut Elie Cartan, UMR 7502 du CNRS Faculté des sciences Université Henri Poincaré (Nancy 1) BP 239 54506 VANDOEUVRE-les-Nancy Cedex FRANCE; Institut de mathématiques de Jussieu, UMR 7586, Equipe de Théorie des Groupes Case 7012 2 place Jussieu F-75251 Paris Cedex 05 FRANCE},
author = {Gruson, Caroline, Leidwanger, Séverine},
journal = {Annales mathématiques Blaise Pascal},
keywords = {Lie superalgebras; Nilpotent orbits; Algebraic groups; Desingularization of nilpotent cones},
language = {fre},
month = {7},
number = {2},
pages = {303-326},
publisher = {Annales mathématiques Blaise Pascal},
title = {Cônes nilpotents des super algèbres de Lie orthosymplectiques},
url = {http://eudml.org/doc/116354},
volume = {17},
year = {2010},
}

TY - JOUR
AU - Gruson, Caroline
AU - Leidwanger, Séverine
TI - Cônes nilpotents des super algèbres de Lie orthosymplectiques
JO - Annales mathématiques Blaise Pascal
DA - 2010/7//
PB - Annales mathématiques Blaise Pascal
VL - 17
IS - 2
SP - 303
EP - 326
AB - Nous étudions le cône nilpotent impair des super algèbres de Lie orthosymplectiques. Nous nous intéressons aux orbites nilpotentes impaires qui le constituent, à la relation d’ordre sur leurs adhérences et donnons une désingularisation de ce cône .
LA - fre
KW - Lie superalgebras; Nilpotent orbits; Algebraic groups; Desingularization of nilpotent cones
UR - http://eudml.org/doc/116354
ER -

References

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  8. J. van de Leur, Contragredient Lie superalgebras of finite growth, (1986) 
  9. T. Ohta, The closures of nilpotent orbits in the classical symmetric pairs and their singularities, Tohoku Math. J. 43 (1991), 161-211 Zbl0738.22007MR1104427
  10. T. Springer, A construction of representations of Weyl groups, Invent. Math. 44 (1978), 279-293 Zbl0376.17002MR491988
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