Abstract
ABSTRACTWe prove that all irreducible representations of the bismash product have Frobenius–Schur indicators +1 or 0 where 𝕜 is an algebraically closed field and is an exact factorization. Moreover, we have a description of those simple modules which are not self-dual. We prove some new results for bismash products in general and make conjectures about bismash products that arise from other exact factorizations of Sn.
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