Seminar by Tobias Kildetoft (Uppsala University)

Title: Positively Based Algebras and their (Special) Modules

2016.10.28 | Christine Dilling

Date Wed 09 Nov
Time 15:15 16:15
Location Aud D3

Abstract: Positively based algebras (i.e. algebras with a basis for which all the structure constants are non-negative real numbers) appear naturally in many areas of representation theory.

Positivity of the basis allows one to split the algebra into left- right- and twosided cells in the same way as for Hecke algebras. Each left cell gives rise to a (left) cell module, and each such module has a distinguished simple subquotient called the special subquotient. A module for the algebra is called special if it is isomorphic to such a special subquotient for some left cell.

In this talk, I will highlight some of the main properties of these special modules (which is joint work with V. Mazorchuk) and discuss some applications to higher representation theory (which is joint work with M. Mackaay, V. Mazorchuk and J. Zimmermann).