**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:

- Harish-Chandra's description of the centre of a simple algebra \(\mathfrak{g}\);
- Kirillov-Duflo's description of the centre of an arbitrary finite dimensional algebra;
- Center of the jet algebra \(\mathfrak{g}[[t]]\) and loop algebra \(\mathfrak{g}((t))\);
- 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