Cônes nilpotents des super algèbres de Lie orthosymplectiques  [ Odd nilpotent cone of orthosymplectic Lie superalgebras ]
Annales mathématiques Blaise Pascal, Volume 17 (2010) no. 2, p. 303-326

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.

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 .

DOI : https://doi.org/10.5802/ambp.285
Classification:  17BXX,  14LXX
Keywords: Lie superalgebras, Nilpotent orbits, Algebraic groups, Desingularization of nilpotent cones
@article{AMBP_2010__17_2_303_0,
     author = {Gruson, Caroline and Leidwanger, S\'everine},
     title = {C\^ones nilpotents des super alg\`ebres de Lie orthosymplectiques},
     journal = {Annales math\'ematiques Blaise Pascal},
     publisher = {Annales math\'ematiques Blaise Pascal},
     volume = {17},
     number = {2},
     year = {2010},
     pages = {303-326},
     doi = {10.5802/ambp.285},
     mrnumber = {2778918},
     zbl = {1206.17016},
     language = {fr},
     url = {http://www.numdam.org/item/AMBP_2010__17_2_303_0}
}
Gruson, Caroline; Leidwanger, Séverine. Cônes nilpotents des super algèbres de Lie orthosymplectiques. Annales mathématiques Blaise Pascal, Volume 17 (2010) no. 2, pp. 303-326. doi : 10.5802/ambp.285. http://www.numdam.org/item/AMBP_2010__17_2_303_0/

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