Weak Hopf algebras and singular solutions of quantum Yang-Baxter equation

DOI10.1007/s002201000576zbMath1032.17026arXivmath/0105064OpenAlexW1968876745MaRDI QIDQ5961017

Steven Duplij, Fang Li

Publication date: 22 April 2002

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0105064

Mathematics Subject Classification ID

Quantum groups (quantized enveloping algebras) and related deformations (17B37) Quantum groups and related algebraic methods applied to problems in quantum theory (81R50)

Related Items (26)

The Right Braids, Quasi-braided Pre-tensor Categories, and General Yang–Baxter Operators ⋮ The extension of a quantized Borcherds superalgebra by a Hopf algebra ⋮ The weak Hopf algebras related to generalized Kac-Moody algebra ⋮ Weak quantum Borcherds superalgebras and their representations ⋮ Construct weak Hopf algebras by using Borcherds matrix. ⋮ On Hopf Algebras and Their Generalizations ⋮ Regular obstructed categories and topological quantum field theory ⋮ Weak Hopf algebras corresponding to Uq[sln] ⋮ Quantum doubles from a class of noncocommutative weak Hopf algebras ⋮ Extensions of quantum enveloping algebras ⋮ Weak Hopf algebras corresponding to quantum algebras \(U_q(f(K,H))\) ⋮ Weak Hopf algebras corresponding to Borcherds-Cartan matrices. ⋮ Nichols algebras over weak Hopf algebras ⋮ Lusztig symmetries and Poincare-Birkhoff-Witt basis for $\mathfrak {wU}_{r, s}^{\mathrm{d}}({\rm osp}(1|2n))$wUr,sd( osp (1|2n)) ⋮ Adjoint action for quantum algebra \(U_{r,t}\) ⋮ A class of weak Hopf algebras. ⋮ Some graded bialgebras related to Borcherds superalgebras ⋮ Weak tensor category and related generalized Hopf algebras. ⋮ Quantum enveloping algebras with von Neumann regular Cartan-like generators and the Pierce decomposition ⋮ Quantum Yang-Baxter equation and constantR-matrix over Grassmann algebra ⋮ Singular Solutions to the Quantum Yang–Baxter Equations ⋮ Bi-Element Representations of Ternary Groups^# ⋮ Multiplication alteration by two-cocycles for bialgebras with weak antipode ⋮ S-Hopf Quivers and Semilattice Graded Weak Hopf Algebras ⋮ Weak Hopf algebras corresponding to Cartan matrices ⋮ Semilattice graded weak Hopf algebra and its related quantum G-double

This page was built for publication: Weak Hopf algebras and singular solutions of quantum Yang-Baxter equation