Donald Barnes (University of Sydney)
Character clusters for Lie algebra modules over a field of non-zero characteristic
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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John Enyang John.Enyang@sydney.edu.au