1 citations · 1 across the 9 of their papers we have counts for
10 papers
Whittaker constructions for quantum affine algebras
Vyacheslav Futorny, Santanu Tantubay
The goals of the paper are 3-fold. First, we revisit the construction of imaginary Whittaker modules over untwisted affine Kac-Moody Lie algebras. These modules are obtained using…
Automorphism groups and derivation algebras of Hamiltonian Lie algebras
Pradeep Bisht, Suman Rani, Santanu Tantubay
In this paper, we compute the automorphism group and derivation algebra of the Hamiltonian Lie algebra and its derived subalgebra , where is…
Whittaker Modules for W type Cartan Lie superalgebras
Vyacheslav Futorny, Santanu Tantubay
We consider the category of Whittaker modules for the Lie superalgebra of vector fields on . For any we show the equivale…
Representations of Hamiltonian Lie algebras
Vyacheslav Futorny, Santanu Tantubay
We consider the Shen-Larsson functor from the category of modules for the symplectic Lie algebra $\s$ to the category of modules for the Hamiltonian Lie algebra and show that it pr…
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…
Simple Modules For Twisted Hamiltonian Extended Affine Lie Algebras
Santanu Tantubay, Priyanshu Chakraborty, Punita Batra
In this paper, we consider the twisted Hamiltonian extended affine Lie algebra (THEALA). We classify the irreducible integrable modules for these Lie algebras with finite-dimension…
Irreducible Integrable Modules for the full Toroidal Lie Algebras co-ordinated by Rational Quantum Torus
Santanu Tantubay, Punita Batra
Let be a non-commutative Laurent polynomial ring associated with a rational quantum matrix . Let $\mathfrak{sl}_d(\mathbb{C}_q)\oplus HC_1(\ma…
Irreducible Modules for the loop of Derivations of Rational Quantum Torus
Santanu Tantubay
In this paper we classified irreducible modules for the loop of derivations of rational quantum torus with associative action and anti-associative $\mathb…
Classification of irreducible integrable modules for extended affine Lie algebras with center acting trivially
Santanu Tantubay, Punita Batra
We classify the irreducible integrable modules for the twisted toroidal extended affine Lie algebras with fnite diemnsional weight spaces where the fnite dimensional center acts tr…