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

Journal Article · · Journal of Mathematical Physics
DOI:https://doi.org/10.1063/1.4870597· OSTI ID:22250708
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.
OSTI ID:
22250708
Journal Information:
Journal of Mathematical Physics, Journal Name: Journal of Mathematical Physics Journal Issue: 4 Vol. 55; ISSN JMAPAQ; ISSN 0022-2488
Country of Publication:
United States
Language:
English

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