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Lie Group Quantum Mathematics Seminar

Weight-one elements of vertex operator algebras and automorphisms of categories of generalized twisted modules

Location:  Hill Center Room 705
Date & time: Friday, 28 October 2022 at 12:10PM - 1:10PM

Abstract Given a weight-one elements u of a vertex operator algebra V, we construct an automorphism of the category of generalized g-twisted modules for automorphisms g of V fixing u. We apply these results to the case that V is an affine vertex algebra to obtain explicit results on these automorphisms of categories. In particular, we give explicit constructions of certain generalized twisted modules from generalized twisted modules associated to diagram automorphisms of finite-dimensional simple Lie algebras and generalized (untwisted) modules. This talk is based on a joint work with Yi-Zhi Huang.

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