On diagonal solutions of the reflection equation

Abstract

We study solutions of the reflection equation associated with the quantum affine algebra $U_q(\widehat{gl}(N))$ and obtain diagonal K-operators in terms of the Cartan elements of a quotient of $U_q(gl(N))$. We also consider intertwining relations for these K-operators and find an augmented q-Onsager algebra like symmetry behind them.

22 pages

References in corpus (1)

• Asymptotic representations of augmented q-Onsager algebra and boundary K-operators related to Baxter Q-operators

Cited by in corpus (5)

• The alternating presentation of $U_q(\widehat{g{l}_2})$ from Freidel-Maillet algebras
• A note on $q$-oscillator realizations of $U_q(gl(M|N))$ for Baxter $Q$-operators
• Universal Baxter TQ-relations for open boundary quantum integrable systems
• Generic triangular solutions of the reflection equation: $U_q(\widehat{s{l}_2})$ case
• Algebraic Bethe ansatz for Q-operators of the open XXX Heisenberg chain with arbitrary spin