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arxiv: 0708.1065 · v1 · submitted 2007-08-08 · 🧮 math.RT · math.QA

A super Frobenius formula for the characters of Iwahori-Hecke algebras

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keywords algebrascharactersformulaiwahori-heckesupercasefrobeniusarticle
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We establish a super Frobenius formula for the characters of Iwahori-Hecke algebras. We show that the Hall-Littlewood sypersymmetric function, up to constant, generates the values of the irreducible characters of Iwahori-Hecke algebras at the elements corresponding to cycle permutations. Our formula in this article includes both the ordinary quantum case and the classical super case.

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