|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 listsZangwill Club Machine Intelligence Lab Seminar Pharmacology Lunch Club
Other talksA microfluidic diffusion chamber for the analysis of soft biological matter Undecidability of the spectral gap The uniform spanning forest of planar graphs Can Tocqueville Karaoke or Sing Rule Britannia? Genomics of radiation responses and radiosensitivity Exoplanet Journal Club