Connecting W-algebras and their representations

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• Justine Fasquel (University of Melbourne)
• Thursday 20 June 2024, 14:30-15:00
• External.

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TRHW02 - International Conference

W-algebras form a large family of vertex algebras associated to nilpotent orbits of simple Lie algebras. They provide an additional framework to study the representations of certain infinite dimensional Lie algebras. Indeed, W-algebras can be obtained from the latter by applying certain quantized Hamiltonian reductions. It is believed that most of the time the reduction procedure can be reversed to reconstruct the representations of the underling affine Lie algebra. In this talk, we will discuss inverse reductions as well as their consequences on the representation theory based on examples in small ranks. The talk reports on a recent paper with T. Creutzig, A. Linshaw and N. Nakatsuka and ongoing work with C. Raymond and D. Ridout.

This talk is part of the Isaac Newton Institute Seminar Series series.

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