Tuesday, August 27, 15:15, 7.527

Richard Dipper, Supercharacters of row and column closed pattern subgroups of finite unitriangular groups, II.

Abstract:
In this sequel to Qiong Guo's talk we give a complete classification of the right-, the left- and the biorbits of the monomial basis of UJ introduced in Qiong's talk. This amounts to determine the orbit representatives which are isomorphic to a given one and determine the automorphisms of orbit modules. We shall show that solving this problem amounts to solving a number of systems of linear equations which in turn can be solved by standard procedures.
This is a joint work with Qiong Guo.