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Session S16 - Quantum symmetries

Wednesday, July 14, 12:45 ~ 13:10 UTC-3

Weyl modules and fusion products for the current superalgebra sl(1|2)[t]

Lucas Calixto

Federal University of Minas Gerais, Brazil   -   This email address is being protected from spambots. You need JavaScript enabled to view it.

We study a class modules, called Chari-Venkatesh modules, for the current superalgebra sl(1|2)[t]. This class contains other important modules, such as graded local Weyl, truncated local Weyl and Demazure-type modules. We prove that Chari-Venkatesh modules can be realized as fusion products of generalized Kac modules. In particular, this proves Feigin and Loktev's conjecture, that fusion products are independent of their fusion parameters, in the case where the fusion factors are generalized Kac modules. As an application of our results, we obtain bases, dimension and character formulas for Chari-Venkatesh modules

Joint work with Tiago Macedo (Federal University of São Paulo, Brazil) and Matheus Brito (Federal University of Paraná, Brazil).

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