SMS scnews item created by John Enyang at Thu 4 Apr 2013 1032
Type: Seminar
Modified: Thu 4 Apr 2013 1050
Distribution: World
Expiry: 27 Apr 2013
Calendar1: 26 Apr 2013 1205-1255
CalLoc1: Carslaw 373
Auth: enyang@penyang.pc (assumed)

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

### Barnes

###### 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.

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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

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