In a previous paper I have defined a new basis for the representation ring of a Weyl group. In this paper we show that the new basis is related to the standard basis by an upper triangular unipotent matrix. We also give a new parametrization of representations in a fixed family by certain pairs of subgroups of a finite group attached to the family.
On the character ring of a finite group
Bounding the number of characters in a block of a finite group
Representations of finite groups on modules over K-theory (with an appendix by Akhil Mathew)
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