Coinvariant algebras and fake degrees for spin Weyl groups of exceptional type
arXiv:1306.1290
Abstract
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.
13 pages, multiple of tables. arXiv admin note: substantial text overlap with arXiv:1207.0525