On the Kernel of the Borel’s Characteristic Map of Lie Groups
Year: 2023
Author: Haibao Duan, Xuezhi Zhao
Communications in Mathematical Research , Vol. 39 (2023), Iss. 2 : pp. 173–189
Abstract
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∗(BT)→H∗(G/T) induced by the inclusion c:G/T→BT is called the Borel’s characteristic map of the group G[7,8], where BT 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 kerc∗⊂H∗(BT) of the characteristic map c.
You do not have full access to this article.
Already a Subscriber? Sign in as an individual or via your institution
Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/cmr.2022-0041
Communications in Mathematical Research , Vol. 39 (2023), Iss. 2 : pp. 173–189
Published online: 2023-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 17
Keywords: Lie group flag manifold Schubert calculus.
Author Details
Haibao Duan Email
Xuezhi Zhao Email