Character clusters for Lie algebra modules over a field of non-zero characteristic

Friday 26th April, 12:05-12:55pm, Carslaw 373 (please note the revised date)

Speaker:

Donald Barnes (University of Sydney)

Title:

Character clusters for Lie algebra modules over a field of non-zero characteristic

Abstract:

For a Lie algebra $L$ over an algebraically closed field of non-zero characteristic, every finite-dimensional $L$-module can be decomposed into a direct sum of submodules such that all composition factors of a summand have the same character. Using the concept of a character cluster, I generalise this to fields which are not algebraically closed. I also use clusters to generalise the construction of induced modules.

---------------------------------------------------------------------------------------

We will take the speaker to lunch after the talk.

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

John Enyang John.Enyang@sydney.edu.au