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)

# On the center of Lie algebras

### Kamgarpour

###### 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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