A generalization of Kostant theorem to integral cohomology
Algebraic Topology
2013-08-09 v1 Representation Theory
Abstract
In this paper, we find weight decomposition and rank of a weight in the integral (co)homology of the positive system of a semi-simple Lie algebra over and prove that the (co)homology of the weight subcomplex over a field of characteristic p is 0 if the rank of the weight is not divisible by p. This generalizes Kostant theorem to the integral cohomology of the positive system.
Keywords
Cite
@article{arxiv.1308.1724,
title = {A generalization of Kostant theorem to integral cohomology},
author = {Qibing Zheng},
journal= {arXiv preprint arXiv:1308.1724},
year = {2013}
}
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22 pages