Construct weak Hopf algebras by using Borcherds matrix.
From MaRDI portal
Publication:839765
DOI10.1007/s10114-009-7065-3zbMath1186.16030arXivmath/0607303OpenAlexW2109011740MaRDI QIDQ839765
Publication date: 3 September 2009
Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/math/0607303
Quantum groups (quantized enveloping algebras) and related deformations (17B37) Quantum groups and related algebraic methods applied to problems in quantum theory (81R50) Kac-Moody (super)algebras; extended affine Lie algebras; toroidal Lie algebras (17B67) Ring-theoretic aspects of quantum groups (16T20) Hopf algebras and their applications (16T05)
Related Items
The extension of a quantized Borcherds superalgebra by a Hopf algebra, Nichols algebras over weak Hopf algebras, Some graded bialgebras related to Borcherds superalgebras
Cites Work
- Unnamed Item
- Generalized Kac-Moody algebras
- An algebra related to the fusion rules of Wess-Zumino-Witten models
- Duality for generalized Kac algebras and a characterization of finite groupoid algebras
- Monstrous moonshine and monstrous Lie superalgebras
- Quantum deformations of generalized Kac-Moody algebras and their modules
- Weak Hopf algebras. I: Integral theory and \(C^*\)-structure
- Weak Hopf algebras corresponding to Borcherds-Cartan matrices.
- A class of weak Hopf algebras related to a Borcherds–Cartan matrix
- Weak Hopf algebras corresponding to Cartan matrices
- The weak Hopf algebras related to generalized Kac-Moody algebra
- Vertex algebras, Kac-Moody algebras, and the Monster
- The left antipodes of a left Hopf algebra
- Crystal bases for quantum generalized kac–moody algebras
- Weak Hopf algebras corresponding to Uq[sln]
- On the Iwahori-Matsumoto involution and applications
- Weak Hopf algebras and singular solutions of quantum Yang-Baxter equation
