Abstract
We consider a (2+1)-dimensional quantum superspace which has noncommuting coordinates in Manin sense and it was shown that this space has a Hopf algebra structure, i.e. the quantum supergroup, when it is extended by the inverse of the bosonic variable. Differential structures on this space were given by constructing the differential calculus in the sense of Woronowicz. Thus, we deduce that the corresponding quantum Lie superalgebra which as a commutation superalgebra appears classical, and as Hopf structure is non-cocommutative q-deformed. Finally, dual Hopf superalgebra was given.
Keywords
Superspace
Differential calculus
Superalgebra
Supergroup
Hopf algebra
Quantum differential calculus
Lie superalgebra
Pure mathematics
Physics
Differential form
Mathematical physics
Quantum group
Differential (mechanical device)
Dual (grammatical number)
Mathematics
Algebra over a field
Supersymmetry
Noncommutative geometry
Current algebra
Subject Areas
Algebraic structures and combinatorial models
·Geometry and Topology ·Physical Sciences
Advanced Topics in Algebra
·Algebra and Number Theory ·Physical Sciences
Advanced Operator Algebra Research
·Mathematical Physics ·Physical Sciences
Citations by Year
2013: 1
2015: 1
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