Nilpotent elements in the dual of odd orthogonal Lie algebras

Details Nilpotent elements in the dual of odd orthogonal Lie algebras Nilpotent elements in the dual of odd orthogonal Lie algebras

2011-02-20

arxiv.org/abs/1102.4036v2

Mathematics

Representation Theory

Scientific paper

Let G be a connected reductive algebraic group over an algebraically closed field of characteristic p and g the Lie algebra of G. Let g^* be the dual vector space of g. In \cite{Lu2}, Lusztig proposes a partition of the nilpotent variety in g^* into smooth locally closed G-stable pieces, which are indexed by the unipotent classes in the reductive group over complex numbers of the same type as G, and illustrates the case where G is of type A, C, or D. We treat the case where G is of type B.

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