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

Journal Article · Tue Apr 15 00:00:00 EDT 2014 · Journal of Mathematical Physics

DOI:https://doi.org/10.1063/1.4870597· OSTI ID:22250809

Babichenko, A., E-mail: [e-mail] ^[1]; Regelskis, V., E-mail: [e-mail] ^[2]

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1. Department of Mathematics, University of York, York YO10 5DD (United Kingdom)
2. Department of Mathematics, University of Surrey, Guildford GU2 7XH (United Kingdom)

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: 22250809
• Journal Information: Journal of Mathematical Physics, Vol. 55, Issue 4; Other Information: (c) 2014 AIP Publishing LLC; Country of input: International Atomic Energy Agency (IAEA); ISSN 0022-2488
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
ALGEBRA
EQUATIONS
MATRICES
REFLECTION