1999arXiv (Cornell University)Open access

A new differential calculus on noncommutative spaces

R. P. Malik, Amrit Kumar Mishra, G. Rajasekaran

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Abstract

We develop a $GL_{qp}(2)$ invariant differential calculus on a two-dimensional noncommutative quantum space. Here the co-ordinate space for the exterior quantum plane is spanned by the differentials that are commutative (bosonic) in nature.

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We develop a $GL_{qp}(2)$ invariant differential calculus on a two-dimensional noncommutative quantum space. Here the co-ordinate space for the exterior quantum plane is spanned by the differentials that are commutative (bosonic) in nature.

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Available abstract

We develop a $GL_{qp}(2)$ invariant differential calculus on a two-dimensional noncommutative quantum space. Here the co-ordinate space for the exterior quantum plane is spanned by the differentials that are commutative (bosonic) in nature.

Key concepts: Noncommutative geometry, Quantum differential calculus, Differential calculus, Commutative property, Mathematics, Noncommutative algebraic geometry, Invariant (physics), Noncommutative quantum field theory

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