SMS scnews item created by John Enyang at Mon 6 Aug 2012 1358
Type: Seminar
Distribution: World
Expiry: 11 Aug 2012
Calendar1: 10 Aug 2012 1205-1255
CalLoc1: Carslaw 175
Auth: enyang@penyang.pc (assumed)

# Yangian characters and classical $$W$$-algebras

### Molev

###### Speaker:

Alexander Molev (University of Sydney)

###### Title:

Yangian characters and classical $$W$$-algebras

###### Abstract:

The Yangian characters (or $$q$$-characters) are known to be closely related to the classical $$W$$-algebras and to the centers of the affine vertex algebras at the critical level. We make this relationship more explicit by producing families of generators of the $$W$$-algebras from the characters of the Kirillov--Reshetikhin modules in types $$B$$ and $$D$$ and of the fundamental modules in type $$C$$. The generators of the $$W$$-algebras correspond to the recently constructed elements of the Feigin--Frenkel centers via an affine version of the Harish-Chandra isomorphism.

This is joint work with Evgeny Mukhin.

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After the seminar we will take the speaker to lunch.

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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