Coinvariant algebras and fake degrees for spin Weyl groups of exceptional type

Constance Baltera; Weiqiang Wang

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Coinvariant algebras and fake degrees for spin Weyl groups of exceptional type

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arxiv 1306.1290 v1 pith:Z3SJXZMR submitted 2013-06-06 math.RT math.QA

Coinvariant algebras and fake degrees for spin Weyl groups of exceptional type

Constance Baltera , Weiqiang Wang This is my paper

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keywords spindegreesfakeweylcoinvariantexceptionalgroupsalgebra

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We compute all the spin fake degrees for the exceptional Weyl groups, which are by definition the graded multiplicities of the simple modules of a spin Weyl group in its spin coinvariant algebra. The spin fake degrees are all shown to be palindromic polynomials.

Coinvariant algebras and fake degrees for spin Weyl groups of exceptional type

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