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- Title
On the Structure of Quantum Toroidal Superalgebra ℰm|n.
- Authors
Wu, Xiang Hua; Lin, Hong Da; Zhang, Hong Lian
- Abstract
Recently the quantum toroidal superalgebra ℰ m | n associated with g l m | n was introduced by L. Bezerra and E. Mukhin, which is not a quantum Kac–Moody algebra. The quantum toroidal superalgebra ℰ m | n exploits infinite sequences of generators and relations of the form, which are called Drinfeld realization. In this paper, we use only finite set of generators and relations to define an associative algebra ℰ m | n ′ and show that there exists an epimorphism from ℰ m | n ′ to the quantum toroidal superalgebra ℰ m | n . In particular, the structure of ℰ m | n ′ enjoys some properties like Drinfeld–Jimbo realization.
- Subjects
KAC-Moody algebras; ASSOCIATIVE algebras; QUANTUM groups
- Publication
Acta Mathematica Sinica, 2023, Vol 39, Issue 11, p2117
- ISSN
1439-8516
- Publication type
Article
- DOI
10.1007/s10114-023-2426-x