Hilbert series of the finite dimensional generalized Hecke algebras

Authors: ZAFFAR IQBAL

Abstract: It is known from the early results of Coxeter that the generalized Hecke algebras $H(Q_{m},3)$, $m\in\{2,3,4,5\}$, are finite dimensional. In this paper we compute the Hilbert series of these finite-type group algebras.

Keywords: Braid group, generalized Hecke algebras, Hilbert series

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