4 papers
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), corresponding to a BKM Cartan matrix filled by negative integers. Let $P^+\subset \mathfrak{…
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.…