39 citations · 62 across the 4 of their papers we have counts for
5 papers
The combinatorics of generalized Gelfand--Graev characters
Scott Andrews, Nathaniel Thiem
Introduced by Kawanaka in order to find the unipotent representations of finite groups of Lie type, generalized Gelfand--Graev characters have remained somewhat mysterious. Even in…
The irreducible unipotent modules of the finite general linear groups via tableaux
Scott Andrews
We construct the irreducible unipotent modules of the finite general linear groups using tableaux. Our construction is analogous to that of James (1976) for the symmetric groups, a…
Supercharacter theories constructed by the method of little groups
Scott Andrews
The method of little groups describes the irreducible characters of semidirect products with abelian normal subgroups in terms of the irreducible characters of the factor groups. W…
The Hopf monoid on nonnesting supercharacters of pattern groups
Scott Andrews
We construct supercharacter theories for a collection of unipotent matrix groups and produce a Hopf monoid from the supercharacters. These supercharacter theories are coarser than…
Supercharacters of unipotent groups defined by involutions
Scott Andrews
We construct supercharacter theories of finite unipotent groups in the orthogonal, symplectic and unitary types. Our method utilizes group actions in a manner analogous to that of…