9 papers
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…