Talk:Quantum algebra

Quantum Algebra Studies...

If anyone is curious what "quantum algebra" studies, well,

"In quantum algebra we’re often studying some classical algebraic notion, but instead of working in the category of vector spaces you instead work in a more general tensor category. For example, the theory of finite type knot invariants is roughly the theory of simple Lie algebra objects in symmetric tensor categories, while the theory of subfactors is roughly that of simple algebra objects in unitary tensor categories. The basic question is then which notions from the classical theory generalize to the quantum setting. For example, is there an analogue of Artin-Wedderburn for semisimple algebra objects in fusion categories?" ---Artin-Wedderburn in fusion categories

I wondered what this subject was about, since arXiv doesn't define it clearly... Pqnelson (talk) 01:02, 25 July 2012 (UTC)