Hopf algebra structure on superspace $\text{SP}_q^{2|1}$

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

References

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