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math.RT2022
Representations of loop extended Witt algebras
Sachin S. Sharma, Priyanshu Chakraborty, Ritesh Kumar Pandey +1
In this paper, we classify irreducible modules for loop extended Witt algebras with finite dimensional weight spaces. They turn out to be either modules with uniformly bounded weig…
math.RT2022
Weyl modules for toroidal Lie algebras
Sudipta Mukherjee, Santosha Kumar Pattanayak, Sachin S. Sharma
In this paper we study Weyl modules for a toroidal Lie algebra $\CT$ with arbitrary variables. Using the work of Rao \cite{1995}, we prove that the level one global Weyl module…