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On boundary fusion and functional relations in the Baxterized affine hecke algebra

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JournalJournal of Mathematical Physics
DatePublished - 15 Apr 2014
Issue number4
Volume55
Original languageEnglish

Abstract

We construct boundary type operators satisfying fused reflection equation for arbitrary representations of the Baxterized affine Hecke algebra. These operators are analogues of the fused reflection matrices in solvable half-line spin chain models.We show that these operators lead to a family of commuting transfer matrices of Sklyanin type. We derive fusion type functional relations for these operators for two families of representations.

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