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Higher Signs for Coxeter Groups
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42543_2020_29_ReferencePDF.pdf
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385.49 KB
Format
Adobe PDF
Checksum (MD5)
b17b11ee5b0abad597961fcfb6e5b263
Author(s)
Yun, Zhiwei
Date Issued
February 25, 2021
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.
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Creative Commons Attribution-Noncommercial-Share Alike
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DOI of Published Version
https://doi.org/10.1007/s42543-020-00029-z