The Baxter's Q-operator for the W-algebra $W_N$

Ruijsenaars双曲系统中的Baxter算子 IV. 耦合常数反射对称性

Baxter operators in Ruijsenaars hyperbolic system IV. Coupling constant reflection symmetry

本文在Ruijsenaars双曲系统中引入了一族新的交换Baxter算子，利用Rains积分恒等式的退化证明了两族算子的交换性，进而证明了波函数的耦合常数对称性，并建立了其与Noumi-Sano差分算子的联系。

杨-巴克斯特化过程背后的代数结构

Algebraic Structures Behind the Yang-Baxterization Process

本研究综述辫群表示的杨-巴克斯特化过程，探讨其中的n-CB代数，给出4-CB代数关系图，并借助自由代数与Kauffman缠结代数的同构阐释相关关系，揭示该过程的代数结构。

A braided Yang-Baxter Algebra in a Theory of two coupled Lattice Quantum KdV: algebraic properties and ABA representations

A generalization of the Yang-Baxter algebra is found in quantizing the monodromy matrix of two (m)KdV equations discretized on a space lattice. This braided Yang-Baxter equation still ensures that the transfer matrix generates operators in involution which form the Cartan sub-algebra of the braided quantum group. Representations diagonalizing these operators are described through relying on an easy generalization of Algebraic Bethe Ansatz techniques. The conjecture that this monodromy matrix algebra leads, {\it in the cylinder continuum limit}, to a Perturbed Minimal Conformal Field Theory des…

Commuting difference operators with elliptic coefficients from Baxter's vacuum vestors

For quantum integrable models with elliptic R-matrix, we construct the Baxter Q-operator in infinite-dimensional representations of the algebra of observables.