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math.RT2026
Classification of irreducible Harish-Chandra modules over extended Divergence-zero Lie algebras
Sudipta Mukherjee
Let $\mathcal{A}_n = \C[t_1^{\pm1}, t_2^{\pm1}, \ldots, t_n^{\pm1}]$, and let $\EuScript{D}_n$ denote the divergence-zero subalgebra of . In this paper…
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…
math.RT2020★ 2 cited
Integrable modules for loop affine-Virasoro algebra
S Eswara Rao, Sachin S. Sharma, Sudipta Mukherjee
In this paper we classify the irreducible integrable modules for the loop affine-Virasoro algebra $(( \overset{\circ}{\mathfrak{g}} \otimes \mathbb{C}[t, t^{-1}] \oplus \mathbb{C}…