It is shown that the Euler characteristic χ(H,B,εq) of a Z{left open bracket}q{right open bracket}-Hecke algebra 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).
Terragni, T., Weigel, T. (2015). The Euler characteristic of a Hecke algebra. JOURNAL OF PURE AND APPLIED ALGEBRA, 219(4), 1008-1019 [10.1016/j.jpaa.2014.05.029].
The Euler characteristic of a Hecke algebra
TERRAGNI, TOMMASO
;WEIGEL, THOMAS STEFANSecondo
2015
Abstract
It is shown that the Euler characteristic χ(H,B,εq) of a Z{left open bracket}q{right open bracket}-Hecke algebra 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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