Mathematics – Quantum Algebra
Scientific paper
2010-03-12
Mathematics
Quantum Algebra
14 pages, minor changes
Scientific paper
We discuss algebraic and representation theoretic structures in braided tensor categories C which obey certain finiteness conditions. Much interesting structure of such a category is encoded in a Hopf algebra H in C. In particular, the Hopf algebra H gives rise to representations of the modular group SL(2,Z) on various morphism spaces. We also explain how every symmetric special Frobenius algebra in a semisimple modular category provides additional structure related to these representations.
Fuchs J"urgen
Schweigert Christoph
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