ncku-talk2011-12-28

NCTS(South)/ NCKU Math Colloquium

DATE 2011-12-28　14:10-15:00

PLACE R204, 2F, NCTS, NCKU

SPEAKER Prof. Wei Qiang Wang（Dept. of Math., University of Virginia）

TITLE Spin coinvariant algebras and spin fake degrees for Weyl groups

ABSTRACT The coinvariant algebra of a Weyl group W is a graded regular representation of W. The graded multiplicities of simple W-modules in a coinvariant algebra are known as fake degrees and have been computed by Lusztig and others. We formulate the notion of spin coinvariant algebra for a double cover $ ilde{W}$ of every Weyl group W, and determine all the spin fake degrees, i.e., the graded multiplicity of spin simple modules of $ ilde{W}$. This is joint work with Constance Baltera.

NCTS(South)/ NCKU Math Colloquium

DATE	2011-12-28　14:10-15:00

PLACE	R204, 2F, NCTS, NCKU

SPEAKER	Prof. Wei Qiang Wang（Dept. of Math., University of Virginia）

TITLE	Spin coinvariant algebras and spin fake degrees for Weyl groups

ABSTRACT	The coinvariant algebra of a Weyl group W is a graded regular representation of W. The graded multiplicities of simple W-modules in a coinvariant algebra are known as fake degrees and have been computed by Lusztig and others. We formulate the notion of spin coinvariant algebra for a double cover $ ilde{W}$ of every Weyl group W, and determine all the spin fake degrees, i.e., the graded multiplicity of spin simple modules of $ ilde{W}$. This is joint work with Constance Baltera.