LisMath Seminar

On Gelfand-Graev type characters of unit groups arising from finite algebras

Our work is divided in two parts: the first part explores the induction of supercharacters from $U_n(q)$ to $GL_n(q)$ as a possible generalization of the Gelfand-Graev character, as well as some related problems which were posed during our research; the second part explores the possibility of adapting Gelfand and Graev’s construction to finite groups arising as the units of a finite dimensional unital algebra over some finite field.