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Spin coinvariant algebras and spin fake degrees for Weyl groups
王伟强教授 (美国Virginia大学)
2018-01-01 12:13  华东师范大学

报 告 人: 王伟强教授 (美国Virginia大学)
时间:2012/01/10(周二), 上午10点-11点
地点:闵行校区数学楼102报告厅
报告题目: Spin coinvariant algebras and spin fake degrees for Weyl groups

报告内容: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 $\tilde{W}$ of every Weyl group W, and determine all the spin fake degrees, i.e., the graded multiplicity of spin simple modules of $\tilde{W}$. This talk is based on the Virginia dissertation of Constance Baltera.