**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)

### Algebra Seminar

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

### Barnes

###### 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.

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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