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arXiv · 1812.03767

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

Atsuo Kuniba·Masato Okado·Akihito Yoneyama
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Abstract

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.

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Atsuo Kuniba, Masato Okado, Akihito Yoneyama. 2018-12-10. Matrix product solution to the reflection equation associated with a coideal subalgebra of $U_q(A^{(1)}_{n-1})$. https://doi.org/10.1007/s11005-019-01175-x

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