On the center of Lie algebras

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 \(\mathfrak{g}\).

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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