Abstract
We construct a two-parameter bicovariant differential calculus on [Formula: see text] with the help of the covariance point of view using the Hopf algebra structure of [Formula: see text]. To achieve this, we first use the consistency of calculus and the approach of [Formula: see text]-matrix which satisfies both ungraded and graded Yang–Baxter equations. In particular, based on this differential calculus, we investigate Cartan–Maurer forms for this [Formula: see text]-superspace. Finally, we obtain the quantum Lie superalgebra corresponding the Cartan–Maurer forms.
Keywords
Differential calculus
Superspace
Mathematics
Pure mathematics
Differential (mechanical device)
Algebra over a field
Calculus (dental)
Mathematical physics
Physics
Supersymmetry
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
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