Algebraic aspects of the quantum Yang-Baxter equation. (English. Russian original) Zbl 0728.17012

Gurevich, D. I.

Leningr. Math. J. 2, No. 4, 801-828 (1991); translation from Algebra Anal. 2, No. 4, 119-148 (1990).

See the review in Zbl 0713.17010.

MSC:

17B37	Quantum groups (quantized enveloping algebras) and related deformations
35Q40	PDEs in connection with quantum mechanics
81R50	Quantum groups and related algebraic methods applied to problems in quantum theory
22E70	Applications of Lie groups to the sciences; explicit representations
16W30	Hopf algebras (associative rings and algebras) (MSC2000)

Keywords:

quantum group; monoidal group; quantum Yang-Baxter equation; Hecke symmetry; Yang-Baxter operator; dimensions of the homogeneous components; Poincare series; Poincare duality

Citations:

Zbl 0713.17010