23 citations · 46 across the 5 of their papers we have counts for
5 papers
Affine Yangians as Limits of Quantum Toroidal Algebras
Luan Bezerra, Iryna Kashuba, Hongda Lin
We establish a degeneration isomorphism between quantum toroidal algebras and untwisted affine Yangians, valid for all untwisted affine Kac-Moody Lie algebras. Specifically, we pro…
Representations of affine Lie superalgebras and their quantization in type A
Luan Pereira Bezerra, Lucas Calixto, Vyacheslav Futorny +1
We construct a new family of irreducible modules over any basic classical affine Kac-Moody Lie superalgebra which are induced from modules over the Heisenberg subalgebra. We also o…
Representations of quantum toroidal superalgebras and plane -partitions
Luan Bezerra, Evgeny Mukhin
We construct Fock and MacMahon modules for the quantum toroidal superalgebra associated with the Lie superalgebra and parity $\mathbf…
Braid actions on quantum toroidal superalgebras
Luan Bezerra, Evgeny Mukhin
We prove that the quantum toroidal algebras associated with different root systems of type are isomorphic. We also show…
Quantum toroidal algebra associated with
Luan Bezerra, Evgeny Mukhin
We introduce and study the quantum toroidal algebra associated with the superalgebra with , where the parameters sat…