8 papers · 1 filter
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…