The cohomology of compact Lie groups
Year: 2015
Type: preprint
Abstract: Let $G$ be a compact Lie group with a maximal torus $T$. Based on a presentation of the integral cohomology ring $H^{\ast }(G/T)$ of the flag manifold $G/T$ in \cite{DZ1} we have presented in \cite{DZ2} an explicit and unified construction of the integral cohomology rings $H^{\ast }(G)$ for the $1$--connected Lie groups $G$. In this paper we extend this construction to all compact Lie groups.
Source: arXiv (Cornell University)
Author: Haibao Duan
Language: English
Subfield: Mathematical Physics
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W1582441000