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Composition multiplicities of Verma modules for Takiff Lie algebras

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If you have a question about this talk, please contact Rachel Pengelly.

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. In this talk, I will discuss this problem for a related class of Lie algebras, the Takiff Lie algebras. I will also discuss the BGG category O of modules for a semisimple Lie algebra and an analogue of this category for the Takiff Lie algebras.

This talk is part of the Postgraduate Algebra Seminar series.

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