La Trobe Mathematics Colloquium September Talk

Please join us for a lunch with the speaker at the Eagle restaurant before the talk; we meet in the common room at 12:30.

Seminar Abstract:

The classification of simple highest-weight modules over simple (complex) Lie algebras is a well known result from the first half of the twentieth century with many applications. These modules have a certain finiteness property: their weight spaces are all finite-dimensional. One can therefore ask if there is a classification of simple weight modules over simple Lie algebras with finite-dimensional weight spaces. There is, but it is perhaps surprising that it is relatively recent, following from work of Fernando (1990) and Mathieu (2000).

I shall discuss their classification result using examples, primarily $sl_2$ and $sl_3$. No deep prior knowledge of Lie algebras or representation theory will be required.

Host University: La Trobe University

Seminar Convener: David Ridout

How to participate in this seminar

1. Book your University’s Access Grid Room, or a university or APAC etc. Access Grid Room that you are able to use, and

2. Send an email to the seminar convener (David Ridout) to advise that you will be attending the seminar.