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Mathematical Physics Seminar

Lisa Carbone - Lie group analogs for infinite dimensional Lie algebras 

Location:  Hill 705
Date & time: Thursday, 30 November 2023 at 12:00PM - 1:00PM

Lisa Carbone – Rutgers University

November 30th, 12:00pm; Hill Center 705

  Lie group analogs for infinite dimensional Lie algebras 

We discuss the question of associating analogs of Lie groups to certain classes of infinite dimensional Lie algebras. We are particularly interested in Kac-Moody algebras, which are the infinite dimensional analogs of simple Lie algebras, and further generalizations of Kac-Moody algebras known as Borcherds algebras. The Monster Lie algebra is an example of a Borcherds algebra and it admits an action of the Monster finite simple group. We discuss recent developments in the construction of a Lie group analog for the Monster Lie algebra.