SMS scnews item created by James East at Mon 15 Nov 2010 1503
Type: Seminar
Distribution: World
Expiry: 19 Nov 2010
Calendar1: 19 Nov 2010 1205-1255
CalLoc1: Carslaw 175

Algebra Seminar

Diagonal reduction algebras

Oleg Ogievetsky

Friday November 19, 12:05--12:55pm, Carslaw 175


Let g be a Lie algebra and f its reductive Lie subalgebra. The branching rules of decompositions of g-modules into sums of f-modules are conveniently described with the help of a certain algebra, associated to the pair (g,f), called "reduction" algebra. I will illustrate on (possibly) simple examples the general structure of reduction algebras and tools to work with them. If time allows, I will say some words about diagonal reduction algebras which are related to decompositions of tensor products of irreps of reductive Lie algebras into the direct sums of irreps.


After the seminar we will take the speaker to lunch.

See the Algebra Seminar web page for information about other seminars in the series.

James East