Abstract
In this work, differential geometry of the Z$_3$-graded quantum superplane is constructed. The corresponding quantum Lie superalgebra and its Hopf algebra structure are obtained.
Keywords
Lie superalgebra
Superalgebra
Quantum
Differential (mechanical device)
Differential geometry
Geometry
Hopf algebra
Quantum group
Mathematics
Physics
Algebra over a field
Pure mathematics
Current algebra
Quantum mechanics
Affine Lie algebra
Subject Areas
Algebraic structures and combinatorial models
·Geometry and Topology ·Physical Sciences
Advanced Topics in Algebra
·Algebra and Number Theory ·Physical Sciences
Nonlinear Waves and Solitons
·Statistical and Nonlinear Physics ·Physical Sciences
Citations by Year
2014: 1
2016: 1
2017: 1
2019: 1
2021: 2
2023: 1
2025: 1
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