Abstract
We introduce a construction of the differential calculus on the quantum supergroup GLp,q(1|1). We obtain two differential calculi, respectively, associated with the left and the right Cartan–Maurer one-forms. We also obtain the quantum superalgebra of GLp,q(1|1). Although all of the structures we obtain are derived without an R matrix, they nevertheless can be expressed using an R matrix.
Keywords
Quantum differential calculus
Differential calculus
Supergroup
Superalgebra
Differential (mechanical device)
Differential geometry
Quantum
Algebraic differential equation
Mathematics
Subject Areas
Algebraic structures and combinatorial models
·Geometry and Topology ·Physical Sciences
Homotopy and Cohomology in Algebraic Topology
·Mathematical Physics ·Physical Sciences
Advanced Topics in Algebra
·Algebra and Number Theory ·Physical Sciences
Citations by Year
2024: 1
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