Face algebras and unitarity of SU\((N)_L\)-TQFT

DOI10.1007/S002200050610zbMath1055.81033arXivmath/9904082OpenAlexW1977290737MaRDI QIDQ1297682

Takahiro Hayashi

Publication date: 17 February 2000

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

Full work available at URL: https://arxiv.org/abs/math/9904082

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) Exactly solvable models; Bethe ansatz (82B23) Applications of selfadjoint operator algebras to physics (46L60) Topological field theories in quantum mechanics (81T45) Topological quantum field theories (aspects of differential topology) (57R56)

Related Items (15)

\(C^*\)-algebraic partial compact quantum groups ⋮ Symmetric Pairs in Yetter–Drinfeld Categories over Weak Hopf Algebras ⋮ Algebraic structures in comodule categories over weak bialgebras ⋮ Universal quantum semigroupoids ⋮ Transmutation theory of a coquasitriangular weak Hopf algebra. ⋮ Galois quantum groups of \(II_1\)-subfactors ⋮ Fusion categories in terms of graphs and relations. ⋮ Some construction of bicovariant differential calculi on weak Hopf algebras ⋮ Braided groups and quantum groupoids. ⋮ A proof of the Brown-Goodearl conjecture for module-finite weak Hopf algebras ⋮ Quantum groups and quantum semigroups ⋮ From Hopf Algebras to Tensor Categories ⋮ Coribbon Hopf (face) algebras generated by lattice models ⋮ Partial compact quantum groups ⋮ Braided autoequivalences and quantum commutative bi-Galois objects.

This page was built for publication: Face algebras and unitarity of SU\((N)_L\)-TQFT