6 citations · 8 across the 10 of their papers we have counts for
11 papers
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}…
The Brylinski filtration for affine Kac-Moody algebras and representations of -algebras
Suresh Govindarajan, Sachin S. Sharma, Sankaran Viswanath
We study the Brylinski filtration induced by a principal Heisenberg subalgebra of an affine Kac-Moody algebra , a notion first introduced by Slofstra. The associated…
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.
Weyl modules associated to Kac-Moody Lie algebras
S. Eswara Rao, V. Futorny, Sachin S. Sharma
Weyl modules were originally defined for affine Lie algebras by Chari and Pressley in \cite{CP}. In this paper we extend the notion of Weyl modules for a Lie algebra $\mathfrak{g}…
The irreducible modules for the derivations of the rational quantum torus
S. Eswara Rao, Punita Batra, Sachin S. Sharma
Let $\bbcq$ be the quantum torus associated with the matrix , , , are roots of unity, for all $1 \leq i, j \le…
The -analogs of string functions for and Hecke indefinite modular forms
Sachin S. Sharma, Sankaran Viswanath
We study generating functions for Lusztig's -analog of weight multiplicities associated to integrable highest weight representations of the simplest affine Lie algebra $A_1^{(1)…
Integrable modules for Lie Torus
S. Eswara Rao, Sachin S. Sharma
In the last two decades the structure of Extended Affine Lie algebras (EALA) is extensively studied. In explicitly constructing an EALA, the centerless Lie Torus play an important…
The t-analog of the basic string function for twisted affine Kac-Moody algebras
Sachin S. Sharma, Sankaran Viswanath
We study Lusztig's t-analog of weight multiplicities associated to level one representations of twisted affine Kac-Moody algebras. An explicit closed form expression is obtained fo…