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University of Cambridge > Talks.cam > Junior Algebra/Logic/Number Theory seminar > Quantum symmetric algebras

## Quantum symmetric algebrasAdd to your list(s) Download to your calendar using vCal - Alex Shannon, University of Cambridge
- Friday 09 November 2012, 14:00-15:00
- MR4.
If you have a question about this talk, please contact Joanna Fawcett. Given a representation V of a Lie algebra, the symmetric algebra S(V) is also a representation in a natural way. If one deforms the universal enveloping algebra of the Lie algebra as a Hopf algebra to obtain the corresponding quantum group, S(V) deforms to a representation of the quantum group, but in general this deformation fails to be a deformation of algebras. One can, however, emulate the construction of the symmetric algebra for representations of the quantum group, and this turns out to be a deformation of a subalgebra of S(V). The question we address in this talk is: how much smaller is this than S(V)? This talk is part of the Junior Algebra/Logic/Number Theory seminar series. ## This talk is included in these lists:- All CMS events
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