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

A. Babichenko, V. Regelskis

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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.

Original languageEnglish
Article number043503
JournalJournal of Mathematical Physics
Issue number4
Publication statusPublished - 15 Apr 2014

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