New Type Covariant Differential Calculus on the Quantum Planes

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Communications in Theoretical Physics ›› 1992, Vol. 17 ›› Issue (3) : 323-330.

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New Type Covariant Differential Calculus on the Quantum Planes

Xing-Chang SONG^1,2,3, Li LIAO^1,2

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Abstract

We find a serierr of new solu tions to Was-Zumino's consistency conditions for noncommutative differential calculus on the quantum planerr. Therre solutions correspond to the quantum orthogonal planerr and quantum symplectic planerr, As a by-product, d² = 0 is automatically satisfied in this construction.

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Xing-Chang SONG, Li LIAO. New Type Covariant Differential Calculus on the Quantum Planes[J]. Communications in Theoretical Physics, 1992, 17(3): 323-330

References

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