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The affine Brylinski filtration and -algebras
Suresh Govindarajan, Sachin S. Sharma, Sankaran Viswanath
The Brylinski-Kostant filtration on a representation of a finite-dimensional semisimple Lie algebra has interpretations in terms of the algebra, geometry and combinatorics of the r…
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…
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…
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}…
Integrable modules for twisted toroidal extended affine Lie algebras
S. Eswara Rao, Sachin S. Sharma, Punita Batra
In this paper we classify the irreducible integrable modules for the twisted toroidal extended affine Lie algebras with center acting non-trivially.