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arXiv · 1605.02859

The irreducible characters of the alternating Hecke algebras

Andrew Mathas·Leah Neves
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Abstract

This paper computes the irreducible characters of the alternating Hecke algebras, which are deformations of the group algebras of the alternating groups. More precisely, we compute the values of the irreducible characters of the semisimple alternating Hecke algebras on a set of elements indexed by minimal length conjugacy class representatives and we show that these character values determine the irreducible characters completely. As an application we determine a splitting field for the alternating Hecke algebras in the semisimple case.

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Andrew Mathas, Leah Neves. 2016-05-10. The irreducible characters of the alternating Hecke algebras. https://arxiv.org/abs/1605.02859

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