LisMath Seminar 

22/04/2016, 16:00 — 17:00 — Room 6.2.33, Faculty of Sciences of the Universidade de Lisboa
Jocelyn Lochon, Universidade de Lisboa

Asymptotic aspects of supercharacters of unitriangular groups

In virtue of the ergodic method, the asymptotic representation theory allows for the study of characters of groups defined as inductive limits of finite groups, and stands on the knowledge of the irreducible characters of these finite groups. Our aim is to recover a similar method by replacing irreducible characters for supercharacters of the finite unitriangular groups, and this should be understood as a first step to extend the method to other infinite groups.

Bibliography

1. A. M. Vershik, S.V. Kerov, Asymptotic theory of characters of the symmetric group,  Functional Analysis and Its Applications, October 1981, Volume 15, Issue 4, pp 246-255.
2. P. Diaconis, I. M. Isaacs, Supercharacters and superclasses for algebra groups, Trans. AMS, 360 (5), 2359-2392 (2008).

See also

apresentação.pdf