Ole Warnaar (University of Queensland)
Characters of affine Lie algebras and Hall-Littlewood functions
The celebrated Weyl-Kac character formula gives a closed-form expression for the characters of irreducible highest weight modules of affine Kac-Moody Lie algebras. One disadvantage of the Weyl-Kac formula is that it obscures the positivity of the characters. In this talk I will describe how the theory of Hall-Littlewood functions may be used to derive manifestly positive expressions for characters of affine Lie algebras.
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After the seminar we will take the speaker to lunch.
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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