L. Bezerra

collaborators

2 papers

math.RT2022

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…

math.QA2019

Quantum toroidal algebra associated with $gl_{m ∣ n}$

Luan Bezerra, Evgeny Mukhin

We introduce and study the quantum toroidal algebra $E_{m ∣ n} (q_{1}, q_{2}, q_{3})$ associated with the superalgebra $gl_{m ∣ n}$ with $m \neq = n$ , where the parameters sat…

Representations of affine Lie superalgebras and their quantization in type A

Quantum toroidal algebra associated with glm∣n​

Quantum toroidal algebra associated with $gl_{m ∣ n}$