Bezerra, LuanMukhin, Evgeny2022-02-182022-02-182021-04Bezerra, L., & Mukhin, E. (2021). Quantum Toroidal Algebra Associated with $\mathfrak {gl}_{m|n}$. Algebras and Representation Theory, 24(2), 541–564. https://doi.org/10.1007/s10468-020-09959-9https://hdl.handle.net/1805/27877We introduce and study the quantum toroidal algebra Em|n(q1,q2,q3) associated with the superalgebra glm|n with m≠n, where the parameters satisfy q1q2q3 = 1. We give an evaluation map. The evaluation map is a surjective homomorphism of algebras Em|n(q1,q2,q3)→U˜qglˆm|n to the quantum affine algebra associated with the superalgebra glm|n at level c completed with respect to the homogeneous grading, where q2 = q2 and qm−n3=c2. We also give a bosonic realization of level one Em|n(q1,q2,q3)-modules.enPublisher Policyquantum toroidalsuperalgebrasevaluation mapArticle