Odd nilpotent cone of orthosymplectic Lie superalgebras

DOI10.5802/ambp.285zbMath1206.17016arXiv0910.2293OpenAlexW1772786112MaRDI QIDQ617046

Séverine Leidwanger, Caroline Gruson

Publication date: 20 January 2011

Published in: Annales Mathématiques Blaise Pascal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0910.2293

zbMATH Keywords

algebraic groupsLie superalgebrasnilpotent orbitsdesingularization of nilpotent cones

Mathematics Subject Classification ID

Lie algebras of linear algebraic groups (17B45) Affine algebraic groups, hyperalgebra constructions (14L17) Coadjoint orbits; nilpotent varieties (17B08)

Related Items (4)

Resolution of null fiber and conormal bundles on the Lagrangian Grassmannian ⋮ Resolution of singularities of the odd nilpotent cone of orthosymplectic Lie superalgebras ⋮ Study of some orthosymplectic Springer fibers ⋮ The nilpotent cone for classical Lie superalgebras

Cites Work

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• Some remarks on nilpotent orbits
• The closure of nilpotent orbits in the classical symmetric pairs and their singularities
• Sur la théorie des invariants des groupes classiques
• A construction of representations of Weyl groups
• Finitude de l'homologie de certains modules de dimension finie sur une super algèbre de Lie. (Finiteness of the homology of some finite dimensional vector spaces on a Lie superalgebra.)
• Self-commuting cone for basic classical and strange Lie superalgebras.
• On the geometry of conjugacy classes in classical groups
• The Closure Ordering of Nilpotent Orbits of the Complex Symmetric Pair (SO_p+q, SO_p × SO_q)

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