activity
20022026
most citedPartial classification of modules for Lie-algebra of diffeomorphisms of d-dimensional torus

73 citations · 85 across the 15 of their papers we have counts for

collaborators

18 papers

math.RT2026

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…

quant-ph2025

A convergent hierarchy of spectral gap certificates for qubit Hamiltonians

Sujit Rao

We give a convergent hierarchy of SDP certificates for lower bounds on the spectral gap of a local qubit Hamiltonian . Our approach is based on the NPA hierarchy applied to a po…

math.RT2025

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…

math.RT2023

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…

math.RT2022

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…

math.RT2020★ 1 cited

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…