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Author(s): I. E. Nwachukwu, M. N. Annorzie, B. G. Akuchu.

Volume/Issue: Volume 7, Issue 3 (2024)

Page No: 133-142

Journal: African Journal of Mathematics and Statistics Studies (AJMSS)

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Abstract:

We study the Poisson structures associated with deformation quantisation and its non-degradable factor on the Casimir function. We also describe a filtered associative algebra in a quotient space as a Poisson algebra and the automorphism of the Poisson bracket is discussed.

Keywords:

Poisson structures, Deformation quantisation, Casimir function, Quotient space, Automorphism.

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