SMS scnews item created by John Enyang at Mon 3 Jun 2013 0700
Type: Seminar
Distribution: World
Expiry: 8 Jun 2013
Calendar1: 7 Jun 2013 1205-1255
Auth: enyang@penyang.pc (assumed)

Algebra Seminar

On the center of Lie algebras


Friday 7th June, 12:05-12:55pm, Carslaw 373


Masoud Kamgarpour (University of Queensland)


On the center of Lie algebras


I will discuss the center of (the universal enveloping algebra) four different kinds of Lie algebras:

  1. Harish-Chandra's description of the centre of a simple algebra \(\mathfrak{g}\);
  2. Kirillov-Duflo's description of the centre of an arbitrary finite dimensional algebra;
  3. Center of the jet algebra \(\mathfrak{g}[[t]]\) and loop algebra \(\mathfrak{g}((t))\);
  4. Feigin-Frenkel description of center of the vertex Lie algebra associated to \(\mathfrak{g}\).
I will then define the notion of quasi-Verma modules for the above mentioned vertex algebra, and stipulate how the Feigin-Frenkel Center should act on these modules.


We will take the speaker to lunch after the talk.

See the Algebra Seminar web page for information about other seminars in the series.

John Enyang

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