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Higher signs for Coxeter groups

Representation Theory 2019-08-13 v1 Algebraic Geometry Group Theory

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 geometry representation theory.

Keywords

Cite

@article{arxiv.1908.03672,
  title  = {Higher signs for Coxeter groups},
  author = {Zhiwei Yun},
  journal= {arXiv preprint arXiv:1908.03672},
  year   = {2019}
}

Comments

13 pages

R2 v1 2026-06-23T10:44:11.813Z