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Matthew Chaffe, University of Birmingham
Wednesday 21 February 2024, 16:30-17:30
Composition multiplicities of Verma modules for truncated current Lie algebras
- 👤 Speaker: Matthew Chaffe, University of Birmingham
- 📅 Date & Time: Wednesday 21 February 2024, 16:30 - 17:30
- 📍 Venue: MR12
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Adam Jones
Abstract
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.
Series This talk is part of the Algebra and Representation Theory Seminar series.
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