Abstract
Introducing [Formula: see text]- and [Formula: see text]-deformations of [Formula: see text]-graded ([Formula: see text])- and ([Formula: see text])-spaces, denoted by [Formula: see text] and [Formula: see text], a two-parameter differential calculus, the quantum de Rham complex, on [Formula: see text] are explicitly constructed. It is shown that in contrast to the standard [Formula: see text]-deformation of [Formula: see text], the above complex is unique for [Formula: see text]. The quantum de Rham complex of [Formula: see text] is discussed via a contraction using standard one.
Keywords
Quantum
Contraction (grammar)
Differential (mechanical device)
Quantum operation
Quantum state
De Rham cohomology
Mathematics
Pure mathematics
Theoretical physics
Quantum mechanics
Subject Areas
Geometry and complex manifolds
·Geometry and Topology ·Physical Sciences
Algebraic structures and combinatorial models
·Geometry and Topology ·Physical Sciences
Homotopy and Cohomology in Algebraic Topology
·Mathematical Physics ·Physical Sciences
Citations by Year
2023: 1
2026: 1
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