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On the representation theory of the Infinite Unitriangular group
Description:  Let U(q) denote the set of infinite nilpotent matrices over the finite field with q elements, called infinite unitriangular group. It is a wild group (not type I), thus the irreducible representation do not admit any reasonable parametrization.

Nevertheless the set of all characters (positive definite, normalized class functions) characterize up to quasi-equivalence
representations of type I and II, therefore, they are our main object of study.

The goal of this talk is to define what are Supercharacter-Theories for U(q) and describe one in particular. This description relies on set partitions and some combinatorial relations.

Date:  2017-10-18
Start Time:   15:00
Speaker:  Jocelyn Lochon (Univ. Lisboa)
Institution:  Room 5.5, Department of Mathematics, U.C.
Research Groups: -Algebra and Combinatorics
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