73 citations · 85 across the 15 of their papers we have counts for
17 papers · 1 filter
Zero-level integrable modules over twisted affine Lie superalgebras
Hajar Kiamehr, Senapathi Eswara Rao, Malihe Yousofzadeh
The main result of this paper is the characterization of zero-level integrable finite weight modules, over twisted affine Lie superalgebras. We prove that such a module is paraboli…
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…
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…
Hamiltonian Extended Affine Lie Algebras and its representation theory
S Eswara Rao
We introduce a new class of extended affine Lie algebras called Hamiltonian Extended Lie Algebras(HEALAs). They are so called because the corresponding derivation algebra is the cl…
Generalized Casimir Operators for Lie Superalgebras
S. Eswara Rao
In this paper, we define generalized Casimir operators for a loop contragredient Lie superalgebra and prove that they commute with the underlying Lie superalgebra. These operators…
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}…