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

TY - JOUR

T1 - On boundary fusion and functional relations in the Baxterized affine hecke algebra

AU - Babichenko, A.

AU - Regelskis, V.

PY - 2014/4/15

Y1 - 2014/4/15

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=84902268050&partnerID=8YFLogxK

U2 - 10.1063/1.4870597

DO - 10.1063/1.4870597

M3 - Article

AN - SCOPUS:84902268050

SN - 0022-2488

VL - 55

JO - Journal of Mathematical Physics

JF - Journal of Mathematical Physics

IS - 4

M1 - 043503

ER -