|COOKIES: By using this website you agree that we can place Google Analytics Cookies on your device for performance monitoring.|
Quantum symmetric algebras
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:
Note that ex-directory lists are not shown.
Other listsThe National Trust for Scotland Geometric Analysis and Partial Differential Equations seminar Queens' College Politics Society
Other talksApplications of Maths in the Oil and Gas Industry, BP Lecture New Developments in Machine Intelligence: Microsoft Machine Learning and Perception Skateboarding and the City: From Margin to Centre (joint event with the City Seminar) Translation machinery in mitochondria – from structure towards clinic Re-building the diseased retina with stem cells Intermediality and “synmediality” in video art: Robert Cahen and Pierre Boulez