2010/04/24 by Mouchira Zaiter, Zaiter, Mouchira
Mathematics · Physics and Astronomy · #Advanced Topics in Algebra #Algebraic Geometry (math.AG) #Algebraic structures and combinatorial models #FOS: Mathematics #Nonlinear Waves and Solitons #Representation Theory (math.RT) #math.AG #math.RT
paper · pdf · doi:10.48550/arxiv.1004.4263
This paper has been withdrawn and replaced by arXiv:1105.5921v1
openalex publication_date 2010/04/24 · arxiv created 2011/05/31 · arxiv updated 2011/06/01 · openalex created_date 2024/04/10 · openalex updated_date 2026/07/28
Let g be a semisimple Lie algebra of finite dimension. The nullcone N of g is the set of (x, y) in g\timesg such that x and y are nilpotents and are in the same Borel subalgebra. The main result of this paper is that N is a closed and irreducible subvariety of g × g whose normalization has rational singularities and such that the normalization morphism is bijective.