# Hopf algebra structure on symplectic superspace ${\rm SP}_q^{2|1}$

@article{Celik2018HopfAS, title={Hopf algebra structure on symplectic superspace \$\{\rm SP\}\_q^\{2|1\}\$}, author={Salih Celik}, journal={arXiv: Quantum Algebra}, year={2018} }

Super-Hopf algebra structure on the function algebra on the extended quantum symplectic superspace ${\rm SP}_q^{2|1}$ has been defined. The dual Hopf algebra is explicitly constructed.

## References

SHOWING 1-10 OF 12 REFERENCES

### Covariant differential calculi on quantum symplectic superspace S P q 1 | 2

- Physics, Mathematics
- 2017

A unitary orthosymplectic quantum supergroup is introduced. Two covariant differential calculi on the quantum superspace S P q 1 | 2 are presented. The h-deformed symplectic superspaces via a…

### HOPF ALGEBRAS

- MathematicsStructural Aspects of Quantum Field Theory and Noncommutative Geometry
- 2021

This paper introduces five notions, including π-algebras, π-ideals, Hopf π-algebras, π-modules and Hopf π-modules, verifies the fundamental isomorphism theorem of π-algebras and studies some…

### Quantum Group Covariant Systems

- Mathematics
- 1996

The meaning of quantum group transformation properties is discussed in some detail by comparing the (co)actions of the quantum group with those of the corresponding Lie group, both of which have the…

### Quantum spheres for OSpq(1∕2)

- Mathematics
- 2005

Using the corepresentation of the quantum supergroup OSpq(1∕2) a general method for constructing noncommutative spaces covariant under its coaction is developed. In particular, a one-parameter family…

### Multiparametric quantum deformation of the general linear supergroup

- Mathematics
- 1989

In the work L. D. Faddeev and his collaborators, and subsequently V. G. Drinfeld, M. Jimbo, S. L. Woronowicz, a new class of Hopf algebras was constructed. They can be considered as one-parametric…

### $h$-Deformation as a Contraction of $q$-Deformation

- Materials Science, Business
- 1994

We show that h -deformation can be obtained, by a singular limit of a similarity transformation, from q -deformation; to be speceﬁc, we obtain GL h (2), its diﬀerential structure, its inhomogenous…

### Universal R-matrix of the quantum superalgebra osp(2 | 1)

- Mathematics, Physics
- 1989

A quantum analogue of the simplest superalgebra osp(2 | 1) and its finite-dimensional, irreducible representations are found. The corresponding constant solution to the Yang-Baxter equation is…