2 citations · 2 across the 7 of their papers we have counts for
7 papers
Minimal Filling pair of non orientable surfaces
Debattam Das, Souvik Pal, Bidyut Sanki
For , let denote the non-orientable surface of genus . In this article, we establish the existence of filling pairs on that intersect minimally by constructi…
Characters of modules over negative rank-2 Borcherds-Kac-Moody Lie algebras
Souvik Pal, Supravat Sarkar, G. Krishna Teja
Let be the Borcherds-Kac-Moody Lie algebra (BKM LA) for a BKM Cartan matrix that is filled by negative integers. Fix a Cartan subalgebra $\mathfr…
Rank-one geometry and mixed complexes in representations of Cartan type Lie algebras on a torus
S. Eswara Rao, Souvik Pal
In this paper, we develop a unified theory of reducibility and indecomposability for Shen-Larsson modules over the Witt, special and Hamiltonian type Lie algebras on a torus. Our a…
Quasi-finite modules over affine and extended affine Lie algebras
Souvik Pal
In this paper, we consider irreducible quasi-finite (or equivalently weakly integrable) modules, with non-trivial action of the core, over the extended affine Lie algebras (EALAs)…
Classification of irreducible Harish-Chandra modules over full toroidal Lie algebras and higher-dimensional Virasoro algebras
Souvik Pal
In this paper, we classify the irreducible Harish-Chandra modules over the full toroidal Lie algebra, which is a natural higher-dimensional analogue of the affine-Virasoro algebra.…
Classification of level zero irreducible integrable modules for twisted full toroidal Lie algebras
Souvik Pal, S. Eswara Rao
In this paper, we first construct the twisted full toroidal Lie algebra by an extension of a centreless Lie torus which is a multiloop algebra twisted by several automorphisms…
Integrable Modules For Graded Lie Tori With Finite Dimensional Weight Spaces
Souvik Pal
An important problem in the representation theory of affine and toroidal Lie algebras is to classify all possible irreducible integrable modules with finite dimensional weight spac…