Composition multiplicities of Verma modules for truncated current Lie algebras

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• Matthew Chaffe, University of Birmingham
• Wednesday 21 February 2024, 16:30-17:30
• MR12.

If you have a question about this talk, please contact Adam Jones.

The problem of computing the composition multiplicities of Verma modules for a semisimple Lie algebra was famously solved by the proof of the Kazhdan-Lusztig conjecture, which gives the multiplicities in terms of certain polynomials known as the Kazhdan-Lusztig polynomials. In this talk, I will discuss this problem for a related class of Lie algebras, known as truncated current Lie algebras. I will also discuss the BGG category O of modules for a semisimple Lie algebra and an analogue of this category for truncated current Lie algebras.

This talk is part of the Algebra and Representation Theory Seminar series.

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