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arXiv · 1502.07065

Semisimple representations of alternating cyclotomic Hecke algebras

Clinton Boys
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Abstract

We define alternating cyclotomic Hecke algebras in higher levels as subalgebras of cyclotomic Hecke algebras under an analogue of Goldman's hash involution. We compute the rank of these algebras and construct a full set of irreducible representations in the semisimple case, generalising Mitsuhashi's results.

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Clinton Boys. 2015-02-25. Semisimple representations of alternating cyclotomic Hecke algebras. https://arxiv.org/abs/1502.07065

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