Combinatorial Hopf algebra of superclass functions of type $D$
Combinatorics
2013-09-04 v5 Representation Theory
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 Andr\'e 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.
Keywords
Cite
@article{arxiv.1111.6185,
title = {Combinatorial Hopf algebra of superclass functions of type $D$},
author = {Carolina Benedetti},
journal= {arXiv preprint arXiv:1111.6185},
year = {2013}
}
Comments
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