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

Kamgarpour

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

Speaker:

Masoud Kamgarpour (University of Queensland)

Title:

On the center of Lie algebras

Abstract:

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.

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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 John.Enyang@sydney.edu.au


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