reflection equation algebra

Reflection Equation

Given a solution RR of the Yang-Baxter equation, the reflection equation (with additive spectral parameter) reads

R(uv)K 1(u)R(u+v)K 2(v)=K 2(v)R(u+v)K 1(u)R(uv) R(u-v) K_1 (u) R(u+v) K_2 (v) = K_2 (v) R(u+v) K_1 (u) R(u-v)


  • Dimitri Gurevich, Pavel Pyatov, Pavel Saponov, Reflection equation algebra in braided geometry, Journal of Generalized Lie Theory and Applications 2 (2008), No. 3, 162–174 pdf
  • P. P. Kulish, Reflection equation algebras and quantum groups, in: Quantum and Non-Commutative Analysis, Mathematical Physics Studies 16 (1993) 207-220 doi
  • A. Mudrov, Characters of U q(gl(n))U_q(gl(n))-Reflection Equation Algebra, Lett. Math. Phys. 60:3, 283-291 (2002) doi
  • Christian Schwiebert, Extended reflection equation algebras, the braid group on a handlebody and associated link polynomials, J. Math. Physics 02/1994; doi hep-th/9402051; Reflection equation and link polynomials for arbitrary genus solid tori, hep-th/9301023

Last revised on July 25, 2019 at 19:42:34. See the history of this page for a list of all contributions to it.