The Sections of the Weyl Group-Reference-Cited by-同舟云学术

The Sections of the Weyl Group

Published:2021-01-06 Issue: Volume: Page:
ISSN:1073-7928
Container-title:International Mathematics Research Notices
language:en
Short-container-title:

Author:

Adrian Moshe¹

Affiliation:

1. Department of Mathematics, Queens College, CUNY, Queens, NY 11367-1597, USA

Abstract

Abstract We compute all sections of the Weyl group that satisfy the braid relations, in the case that $G$ is an almost-simple connected reductive group defined over an algebraically closed field. We then demonstrate that this set of sections gives rise to an interesting partially ordered structure and also give some applications.

Funder

Simons Foundation

Research Foundation of The City University of New York

Publisher

Oxford University Press (OUP)

Subject

General Mathematics

Link

http://academic.oup.com/imrn/advance-article-pdf/doi/10.1093/imrn/rnaa319/35447407/rnaa319.pdf

Reference11 articles.

1. Lifting of elements of Weyl groups;Adams;J. Algebra,2017

2. A remark on the Kottwitz homomorphism;Adrian;Manuscripta Math.,2018

3. Lie Groups and Lie Algebras. Chapters 4–6;Bourbaki,2002

4. Normalizers of Maximal Tori;Curtis;Localization in Group Theory and Homotopy Theory, and Related Topics (Sympos., Battelle Seattle Res. Center, Seattle, Wash., 1974),1974

5. On some Bruhat Decomposition and the structure of the Hecke rings of $p$-adic Chevalley groups;Iwahori;IHES Publ. Math.,1965

Cited by 1 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Lifting involutions in a Weyl group to the normalizer of the torus;Proceedings of the American Mathematical Society;2022-05-13