ncku-talk2013-12-05

NCTS(South)/ NCKU Math Colloquium

DATE 2013-12-05　15:10-16:00

PLACE R204, 2F, NCTS, NCKU

SPEAKER 彭勇寧教授（中央研究院數學研究所）

TITLE A Connection between Finite $W$-Algebras and Yangian Algebras

ABSTRACT A finite W-algebra is a certain associative algebra constructed from a semisimple Lie algebra g and its nilpotent element. Finite W-algebras have several connections to other branches of mathematics, but they are difficult to study. In this talk, we will sketch a beautiful connec- tion between finite W-algebras and Yangian algebras when g = glN, the general linear Lie algebra. Such a connection gives an explicit de- scription of W-algebras and hence provides a nice method to study W-algebras. Moreover, we will mention some recent progress of gener- alization of such a connection when g = glM|N, the general linear Lie superalgebra.

NCTS(South)/ NCKU Math Colloquium

DATE	2013-12-05　15:10-16:00

PLACE	R204, 2F, NCTS, NCKU

SPEAKER	彭勇寧教授（中央研究院數學研究所）

TITLE	A Connection between Finite $W$-Algebras and Yangian Algebras

ABSTRACT	A finite W-algebra is a certain associative algebra constructed from a semisimple Lie algebra g and its nilpotent element. Finite W-algebras have several connections to other branches of mathematics, but they are difficult to study. In this talk, we will sketch a beautiful connec- tion between finite W-algebras and Yangian algebras when g = glN, the general linear Lie algebra. Such a connection gives an explicit de- scription of W-algebras and hence provides a nice method to study W-algebras. Moreover, we will mention some recent progress of gener- alization of such a connection when g = glM\|N, the general linear Lie superalgebra.