Higher Signs for Coxeter Groups

Yun, Zhiwei

Higher Signs for Coxeter Groups

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Author(s)

Yun, Zhiwei

Date Issued

February 25, 2021

Journal

Peking Mathematical Journal

Publisher

Springer Singapore

Citation

Yun, Zhiwei. 2021. "Higher Signs for Coxeter Groups."

Version

Author's final manuscript

Abstract

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.

MIT Department

Massachusetts Institute of Technology. Department of Mathematics

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Creative Commons Attribution-Noncommercial-Share Alike

http://creativecommons.org/licenses/by-nc-sa/4.0/

Persistent DSpace Link

https://hdl.handle.net/1721.1/136730.2

DOI of Published Version

https://doi.org/10.1007/s42543-020-00029-z