ncku-talk2012-03-13

NCTS(South)/ NCKU Math Colloquium

DATE 2012-03-13　16:10-17:00

PLACE R204, 2F, NCTS, NCKU

SPEAKER Dr. Yung-Ning Peng（University of Virginia）

TITLE W-algebras and shifted Yangians

ABSTRACT Finite W-algebras are certain associative algebras associated to a complex semisimple Lie algebra g and a nilpotent element e 2 g. In the special case e = 0, the W-algebra is the universal enveloping algebra. On the other hand, the Yangian Y (glN), introduced by Drinfeld, is a deformation of the universal enveloping algebra for the polynomial current Lie algebra glN[x].
In 2004, Brundan and Kleshchev found various parabolic presentations for the Yan- gian Y (glN), which can be used to dene certain algebras called shifted Yangians. More- over, they gave explicitly a remarkable realization of nite W-algebras as a quotient of shifted Yangians.
The goal of this talk is to explain the above connections and our generalization to the super algebra case.

NCTS(South)/ NCKU Math Colloquium

DATE	2012-03-13　16:10-17:00

PLACE	R204, 2F, NCTS, NCKU

SPEAKER	Dr. Yung-Ning Peng（University of Virginia）

TITLE	W-algebras and shifted Yangians

ABSTRACT	Finite W-algebras are certain associative algebras associated to a complex semisimple Lie algebra g and a nilpotent element e 2 g. In the special case e = 0, the W-algebra is the universal enveloping algebra. On the other hand, the Yangian Y (glN), introduced by Drinfeld, is a deformation of the universal enveloping algebra for the polynomial current Lie algebra glN[x]. In 2004, Brundan and Kleshchev found various parabolic presentations for the Yan- gian Y (glN), which can be used to dene certain algebras called shifted Yangians. More- over, they gave explicitly a remarkable realization of nite W-algebras as a quotient of shifted Yangians. The goal of this talk is to explain the above connections and our generalization to the super algebra case.