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Lie Group Quantum Mathematics Seminar

Deforming vertex algebras by module and comodule actions of vertex bialgebras

Haisheng Li, Rutgers University at Camden

Location:  zoom
Date & time: Friday, 09 April 2021 at 12:00PM - 12:45PM

Abstract Previously, we introduced a notion of vertex bialgebra and a notion of module vertex algebra for a vertex bialgebra, and gave a smash product construction of nonlocal vertex algebras. Here, we introduce a notion of right comodule vertex algebra for a vertex bialgebra. Then we give a construction of quantum vertex algebras from vertex algebras with a right comodule vertex algebra structure and a compatible (left) module vertex algebra structure for a vertex bialgebra. As an application, we obtain a family of deformations of the lattice vertex algebras. This is based on a joint work with Naihuan Jing, Fei Kong, and Shaobin Tan.

Zoom link
Meeting ID: 939 2146 5287
Passcode: 196884