Ahmed Al-shujary

Ahmed Al-shujary
Linköping University | LiU · Department of Mathematics (MAI)

Doctor of Philosophy

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6
Publications
53
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6
Citations

Publications

Publications (6)
Preprint
K\"ahler-Poisson algebras were introduced as algebraic analogues of function algebras on K\"ahler manifolds, and it turns out that one can develop geometry for these algebras in a purely algebraic way. A K\"ahler-Poisson algebra consists of a Poisson algebra together with the choice of a metric structure, and a natural question arises: For a given...
Preprint
In this paper we introduce the concept of morphisms of K\"ahler-Poisson algebras and study their algebraic properties. In particular, we find conditions, in terms of the metric, for two algebras to be isomorphic, and we introduce direct sums and tensor products of K\"ahler-Poisson algebras. We provide detailed examples to illustrate the novel conce...
Article
We introduce Kähler–Poisson algebras as analogues of algebras of smooth functions on Kähler manifolds, and prove that they share several properties with their classical counterparts on an algebraic level. For instance, the module of inner derivations of a Kähler–Poisson algebra is a finitely generated projective module, and allows for a unique metr...
Article
We introduce K\"ahler-Poisson algebras as analogues of algebras of smooth functions on K\"ahler manifolds, and prove that they share several properties with their classical counterparts on an algebraic level. For instance, the module of inner derivations of a K\"ahler-Poisson algebra is a finitely generated projective module, and allows for a uniqu...

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