Affine Sergeev algebra and q-analogues of the Young symmetrizers for projective representations of the symmetric group

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JournalProceedings of the london mathematical society
DatePublished - 3 May 1999
Issue number3
Number of pages32
Pages (from-to)481-512
Original languageEnglish


We study a q-deformation for the crossed product of the symmetric group Sn with the Clifford algebra on n anticommuting generators. We obtain a q-version of the projective analogue for the classical Young symmetrizer introduced by the second author. Our main tool is an analogue of the Hecke algebra of complex-valued functions on the group GLn over a p-adic field relative to the Iwahori subgroup. 1991 Mathematics Subject Classification: 11D25, 11G05, 14G05.

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