Algebra Seminar: Calixto -- Local Weyl modules and fusion products for the current superalgebra sl(1|2)[t]

Lucas Calixto (University of Minas Gerais) 

Friday 6 March, 12-1pm, Place: Carslaw 275 

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

Abstract: We study a class of 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 a conjecture, that fusion products are independent of their
fusion parameters, in the case where the fusion factors are generalized Kac modules.  As
an application, we obtain bases, dimension and character formulas for Chari-Venkatesh
modules.