2 citations · 2 across the 11 of their papers we have counts for
12 papers
Chromatic characters and root multiplicities for Borcherds--Kac--Moody algebras
Priyanshu Chakraborty, Supriya Saha, R. Venkatesh
The main aim of this article is to obtain explicit formulas for the root multiplicities of a class of finite-rank symmetrizable Borcherds-Kac-Moody algebras g(A) whose real part is…
Whittaker Category and Finite W-superalgebras for Cartan Type Lie Superalgebras
Priyanshu Chakraborty, Yuhui Shen, Bin Shu
Let be the finite-dimensional simple Lie superalgebra of fundamental type in the Cartan type series of Kac's classification result \cite{Kac77} over an algebraically closed…
Category $\mcal O$ for polynomial toroidal algebras and its subalgebras
Priyanshu Chakraborty
In this paper we study Category $\mcal O$ for the polynomial toroidal Lie algebras and its type subalgebras. We classify irreducible objects of category $\mcal O$ as unique i…
Representations of affine Nappi-Witten Lie algebras over polynomial algebras
Priyanshu Chakraborty, Santanu Tantubay
In this paper, we study the representation theory of affine Nappi-Witten Lie algebra corresponding to the Nappi-Witten Lie algebra . We completely classify all…
Representations of Toroidal and Full toroidal Lie algebras over polynomial algebras
Santanu Tantubay, Priyanshu Chakraborty
Toroidal Lie algebras are variable generalizations of affine Kac-Moody Lie algebras. Full toroidal Lie algebra is the semidirect product of derived Lie algebra of toroidal Lie…
Irreducible modules for map Heisenberg-Virasoro Lie algebras
Priyanshu Chakraborty
We study irreducible modules for map Heisenberg-Virasoro algebras. In particular, we give a complete classification of irreducible Harish-Chandra modules for map Heisenberg-Virasor…
Skew Symmetric Extended Affine Lie algebras
S. Eswara Rao, Priyanshu Chakraborty
For any skew symmetric matrix over complex numbers, we introduce an EALA and it is called Skew Symmetric Extended Affine Lie Algebra (SSEALA). This way we get a large class of EALA…
Simple Modules For Twisted Hamiltonian Extended Affine Lie Algebras
Santanu Tantubay, Priyanshu Chakraborty, Punita Batra
In this paper, we consider the twisted Hamiltonian extended affine Lie algebra (THEALA). We classify the irreducible integrable modules for these Lie algebras with finite-dimension…
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…
A class of irreducible modules for loop-Virasoro algebras
Priyanshu Chakraborty, Punita Batra
Tensor product of highest weight modules and intermediate modules for Virasoro algebra have been studied around 1997. Since then the irreducibility problem for tensor product of mo…
Partial classification of irreducible modules for loop-Witt algebras
Priyanshu Chakraborty, S. Eswara Rao
In this paper we study irreducible modules for loop of with finite dimensional weight spaces. In particular, we show that Larsson's constructed modules of tensor fi…
Classification of irreducible integrable representations of loop toroidal Lie algebras
Priyanshu Chakraborty, Punita Batra
In this paper we classify irreducible integrable representations of loop toroidal Lie algebras with finite dimensional weight spaces. In both the cases we classify modules, when a…