Higher Signs for Coxeter Groups
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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.
Date issued
2021-02-25Department
Massachusetts Institute of Technology. Department of MathematicsJournal
Peking Mathematical Journal
Publisher
Springer Singapore
Citation
Yun, Zhiwei. 2021. "Higher Signs for Coxeter Groups."
Version: Author's final manuscript
ISSN
2524-7182