Weak Hopf algebras corresponding to Uq[sln]

DOI10.1063/1.1616999zbMath1063.16041arXivmath/0307391OpenAlexW1661854978MaRDI QIDQ4833179

Phillip S. Isaac, Naruhiko Aizawa

Publication date: 14 December 2004

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

Full work available at URL: https://arxiv.org/abs/math/0307391

Mathematics Subject Classification ID

Related Items (20)

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. ⋮ Quantum doubles from a class of noncocommutative weak Hopf algebras ⋮ Extensions of quantum enveloping algebras ⋮ Weak Hopf algebras corresponding to quantum algebras \(U_q(f(K,H))\) ⋮ The equitable presentation for the weak quantum group \(\omega U_{Q}(\mathcal G)\) ⋮ Unnamed Item ⋮ 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)) ⋮ A class of weak Hopf algebras. ⋮ Some graded bialgebras related to Borcherds superalgebras ⋮ Green rings of weak Hopf algebras based on generalized Taft algebras ⋮ Singular Solutions to the Quantum Yang–Baxter Equations ⋮ Multiplication alteration by two-cocycles for bialgebras with weak antipode ⋮ Weak quantum enveloping algebras of Borcherds superalgebras ⋮ Weak Hopf algebras corresponding to Cartan matrices ⋮ Automorphism group of green algebra of weak Hopf algebra corresponding to Sweedler Hopf algebra

Cites Work

• A q-difference analogue of \(U({\mathfrak g})\) and the Yang-Baxter equation
• Real forms of \({\mathcal U}_ q({\mathfrak g})\)
• Weak Hopf algebras and some new solutions of the quantum Yang-Baxter equation
• Doubles of quasi-quantum groups
• Weak Hopf algebras. I: Integral theory and \(C^*\)-structure
• On the quantum symmetry of the chiral Ising model
• Quantum superalgebra \(\mathrm{osp}(2|1)\)
• A coassociative \(C^*\)-quantum group with nonintegral dimensions
• DIAGONAL CROSSED PRODUCTS BY DUALS OF QUASI-QUANTUM GROUPS
• Weak Hopf algebras and singular solutions of quantum Yang-Baxter equation

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