Homotopy type of the nilpotent orbits in classical Lie algebras
Group Theory
2022-03-22 v1
Abstract
In the paper "The Second cohomology of nilpotent orbits in classical Lie algebras, Kyoto J. Math. 60 (2020), no. 2, 717-799" by I. Biswas, P. Chatterjee and C. Maity homotopy types of nilpotent orbits are explicitly described in the case of real simple classical Lie algebras for which any maximal compact subgroup in the associated adjoint group is not semisimple. In this paper we extend the above description of homotopy type of nilpotent orbits to the remaining cases of real simple classical Lie algebras for which any maximal compact subgroup in the associated adjoint group is semisimple.
Keywords
Cite
@article{arxiv.2203.10310,
title = {Homotopy type of the nilpotent orbits in classical Lie algebras},
author = {Indranil Biswas and Pralay Chatterjee and Chandan Maity},
journal= {arXiv preprint arXiv:2203.10310},
year = {2022}
}
Comments
36 pages, To appear in Kyoto Journal of Mathematics. arXiv admin note: substantial text overlap with arXiv:1611.08369