Combinatorial Hopf algebra of superclass functions of type
arXiv:1111.6185 · doi:10.1007/s10801-013-0424-2.
Abstract
We provide a Hopf algebra structure on the space of superclass functions on the unipotent upper triangular group of type D over a finite field based on a supercharacter theory constructed by André and Neto. Also, we make further comments with respect to types B and C. Type A was explores by M. Aguiar et. al (2010), thus this paper is a contribution to understand combinatorially the supercharacter theory of the other classical Lie types.
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