- Hacettepe Journal of Mathematics and Statistics
- Vol: 49 Issue: 2
- Hopf algebra structure on superspace $\text{SP}_q^{2|1}$
Hopf algebra structure on superspace $\text{SP}_q^{2|1}$
Authors : Salih Celik
Pages : 777-783
Doi:10.15672/hujms.499848
View : 15 | Download : 7
Publication Date : 2020-04-02
Article Type : Research
Abstract :Super-Hopf algebra structure on the function algebra on the extended quantum symplectic superspace $\text{SP}_q^{2|1}$, denoted by ${\mathbb F}({\text{SP}}_q^{2|1})$, is defined. A quantum Lie superalgebra derived from ${\mathbb F}({\text{SP}}_q^{2|1})$ is explicitly obtained.Keywords : Quantum symplectic superspace, super $star$-algebra, super-Hopf algebra, quantum supergroup