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Positively Based Algebras and their (Special) Modules

Tobias Kildetoft
(Uppsala University)
Seminar
Onsdag, 9 november, 2016, at 15:15-16:15, in Aud. D3 (1531-215)
Abstrakt:
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)
Organiseret af: QGM
Kontaktperson: Henning Haahr Andersen