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Category O for truncated current Lie algebras

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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 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 the truncated current Lie algebras.

This talk is part of the Algebra Seminar series.

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