|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 listsCambridge Carbon Footprint LMB Perspectives from Cambridge Assessment
Other talksUse of GIS in Ecosystem services and terrain analysis Roles of cytoskeleton in hippocampal synaptic plasticity Cell Culture 2016 Annual General Meeting Sensory decision making (title to be confirmed) Characterizing the immune correlates of protection in vaccinated Rhesus macaques resistant to SIV infection