Higher Signs for Coxeter Groups

Zhiwei Yun

Peking Mathematical Journal ›› 2021, Vol. 4 ›› Issue (2) : 285-303.

Peking Mathematical Journal ›› 2021, Vol. 4 ›› Issue (2) : 285-303. DOI: 10.1007/s42543-020-00029-z
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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.

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Zhiwei Yun. Higher Signs for Coxeter Groups. Peking Mathematical Journal, 2021, 4(2): 285‒303 https://doi.org/10.1007/s42543-020-00029-z
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David and Lucile Packard Foundation

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