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arXiv · 1110.4981

The Euler characteristic of a Hecke algebra

T. Terragni·Th. Weigel
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Abstract

It is shown that the Euler characteristic $χ_{(\mathcal{H},\mathcal{B},ε_q)}$ of a $\mathbb{Z}[[q]]$-Hecke algebra $\mathcal{H}$ associated with a finitely generated Coxeter group $(W,S)$ coincides with $p_{(W,S)}(q)^{-1}$, where $p_{(W,S)}(t)$ is the Poincaré series of $(W,S)$.

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BibTeXRIS

T. Terragni, Th. Weigel. 2014-05-23. The Euler characteristic of a Hecke algebra. https://doi.org/10.1016/j.jpaa.2014.05.029

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