arXiv Analytics

Sign in

arXiv:1105.5921 [math.RT]AbstractReferencesReviewsResources

On related varieties to the commuting variety of a semisimple Lie algebra

Mouchira Zaiter

Published 2011-05-30, updated 2011-06-03Version 2

Let g be a semisimple Lie algebra of finite dimension. The nullcone N of g is the set of (x,y) in g x g such that x and y are nilpotents and are in the same Borel sualgebra. The main result of this paper is that N is a closed and irreducible subvariety of g x g, its normalisation has rational singularities and its normalization morphism is bijective.

Comments: 29 pages. Reference added
Categories: math.RT, math.AG
Related articles: Most relevant | Search more
arXiv:1004.4263 [math.RT] (Published 2010-04-24, updated 2011-05-31)
On the nullcone and the variety $χ_\mathfrak{g}$ of a semisimple lie algebra
arXiv:1605.00592 [math.RT] (Published 2016-05-02)
Deformations of symplectic singularities and Orbit method for semisimple Lie algebras
arXiv:1606.02262 [math.RT] (Published 2016-06-07)
On commuting varieties of parabolic subalgebras

Links

Toolbox