Combinatorial Hopf algebra of supercharacters of type $D$

Mathematics – Combinatorics

Scientific paper

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Scientific paper

We provide a Hopf algebra structure on the supercharacter theory for the unipotent upper triangular group of type $D$ over a finite field. Also, we make further comments with respect to types $B$ and $C$. Type $A$ was explored by M. Aguiar et. al (2010), thus this extended abstract is a contribution to understand combinatorially the supercharacter theory of the other classical Lie types.

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