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Lie Groups Quantum Mathematics Seminar

A cohomological criterion for the reductivity for modules for vertex algebras

Fei Qi, Rutgers University

Location:  HILL 705
Date & time: Friday, 06 October 2017 at 12:00PM - 1:00PM

Abstract:  We use the cohomology theory of meromorphic open-string vertex algebras (MOSVA) to obtain a sufficient condition for the reductivity of left modules for such an algebra. In particular, this result gives a sufficient condition for vertex algebras, which are special MOSVAs. In this talk I will start from the theory of MOSVAs and its representations, discuss the cohomology theory of MOSVAs and present our main theorem. Many technical issues arise in the proof of this main theorem. I will address some of such issues.

 This is a joint work with Y.-Z. Huang.

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