Higher Signs for Coxeter Groups

Abstract We define and study cocycles on a Coxeter group in each degree generalizing the sign function. When the Coxeter group is a Weyl group, we explain how the degree three cocycle arises naturally from geometric representation theory.

Bibliographic Details
Main Author: Yun, Zhiwei
Other Authors: Massachusetts Institute of Technology. Department of Mathematics
Format: Article
Language:English
Published: Springer Singapore 2021
Online Access:https://hdl.handle.net/1721.1/136730.2