Titlebook: Quantum Groups in Three-Dimensional Integrability; Atsuo Kuniba Book 2022 The Editor(s) (if applicable) and The Author(s), under exclusive

婚姻生活

3D , From Quantized Coordinate Ring of Type C,tructed explicitly. They lead to solutions of the 3D reflection equation and the quantized reflection equation. The 3D . admits the set-theoretical and birational counterparts. These features are parallel with Chap. . for type A.

消瘦

3D , From Quantized Coordinate Ring of Type B,ing the equivalence of the spin representation of . and the vector representation of ., the equivalence . holds for . but not for .. In particular . leads to another solution to the 3D reflection equation different from Chap. .. The . relation for the fundamental representations are proved by making

Mri485

Abrade

configuration

思考

Trace Reductions of ,tracing out a part of the spaces appropriately, it reduces to the Yang–Baxter equation among the remaining objects. The prescription, which we call the trace reduction, generates infinitely many solutions to the Yang–Baxter equation labeled with . in a matrix product form. In this chapter we demonst

HARD

,Boundary Vector Reductions of ,3D . not by taking the trace but by evaluation with respect to the boundary vectors using Proposition .. We call it the boundary vector reduction. In contrast to the trace reduction that led to the quantum . matrices of . (Chap. .), it leads to the quantum . matrices for the spin representations of

亲密

Inertia

繁殖

,Trace Reduction of ,t. . and its solution in Theorem ., an infinite family of trigonometric solutions to the usual reflection equation including spectral parameters are constructed. The procedure is parallel with the one applied to the tetrahedron equation in Chap. .. The resulting . matrices are expressed by the matri