A vertex algebra construction of representations of toroidal Lie algebras

Abstract: Given a simple finite-dimensional Lie algebra and an automorphism of finite order, one can construct a twisted toroidal Lie algebra. Similarly to twisted affine Lie algebras, which are well-studied in the literature, we can create representations of twisted toroidal Lie algebras with the help of vertex algebras. In this talk, I will discuss twisted modules of vertex algebras and will show how representations of twisted toroidal Lie algebras can be constructed from such twisted modules.

Joint work with Samantha Kirk.

algebraic geometryalgebraic topologycomplex variablesdifferential geometrygeometric topologymetric geometryquantum algebrarepresentation theory

Audience: researchers in the topic

Sapienza A&G Seminar

Series comments: Weekly research seminar in algebra and geometry.

"Sapienza" Università di Roma, Department of Mathematics "Guido Castelnuovo".