Matrix product solution to the reflection equation associated with a coideal subalgebra of $U_q(A^{(1)}_{n-1})$

Autor:	Kuniba, Atsuo, Okado, Masato, Yoneyama, Akihito
Rok vydání:	2018
Předmět:	Mathematical Physics Mathematics - Quantum Algebra Nonlinear Sciences - Exactly Solvable and Integrable Systems 17B37 17B80
Zdroj:	Letters in Mathematical Physics (2019) 109, 2049-2067
Druh dokumentu:	Working Paper
DOI:	10.1007/s11005-019-01175-x
Popis:	We present a new solution to the reflection equation associated with a coideal subalgebra of $U_q(A^{(1)}_{n-1})$ in the symmetric tensor representations and their dual. Elements of the $K$ matrix are expressed by a matrix product formula involving terminating $q$-hypergeometric series in $q$-boson generators. At $q=0$, our result reproduces a known set-theoretical solution to the reflection equation connected to the crystal base theory. Comment: 11 pages, v5: minor corrections
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1812.03767 Zobrazit plný text záznamu View this record from Arxiv