Semisimple representations of alternating cyclotomic Hecke algebras

Published 25 Feb 2015 in math.RT | (1502.07065v4)

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

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