Global dimensions for Lie groups at level k and their conformally exceptional quantum subgroups

Details Global dimensions for Lie groups at level k and their conformally exceptional quantum subgroups Global dimensions for Lie groups at level k and their conformally exceptional quantum subgroups

2010-03-12

arxiv.org/abs/1003.2589v1

Rev. Un. Mat. Argentina 51 (2010), no. 2, 17-42

Mathematics

Quantum Algebra

20 pages, talk given at: Coloquio de Algebras de Hopf, Grupos Cuanticos y Categorias Tensoriales, Cordoba, Argentina, 2009

Scientific paper

We obtain formulae giving global dimensions for fusion categories defined by
Lie groups G at level k and for the associated module-categories obtained via
conformal embeddings. The results can be expressed in terms of Lie quantum
superfactorials of type G. The later are related, for the type Ar, to the
quantum Barnes function.

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