@Article{CMR-39-2,
author = {Haibao, Duan and Zhao, Xuezhi},
title = {On the Kernel of the Borel’s Characteristic Map of Lie Groups},
journal = {Communications in Mathematical Research },
year = {2023},
volume = {39},
number = {2},
pages = {173--189},
abstract = {<p style="text-align: justify;">For compact and connected Lie group $G$ with a maximal torus $T$ the quotient space $G/T$ is canonically a smooth projective manifold, known
as the complete flag manifold of the group $G.$ The cohomology ring map $c^∗: H^∗
(B_T) → H^∗
(G/T)$ induced by the inclusion $c:G/T→B_T$ is called the
Borel’s characteristic map of the group $G [7, 8],$ where $B_T$ denotes the classifying space of $T.$ Let $G$ be simply-connected and simple. Based on the Schubert
presentation of the cohomology $H^∗
(G/T)$ of the flag manifold $G/T$ obtained
in $[10, 11],$ we develop a method to find a basic set of explicit generators for the
kernel ker$c^∗ ⊂ H^∗
(B_T)$ of the characteristic map $c.$</p>},
issn = {2707-8523},
doi = {https://doi.org/10.4208/cmr.2022-0041},
url = {https://global-sci.com/article/81455/on-the-kernel-of-the-borels-characteristic-map-of-lie-groups}
}