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Al-Shujary, Ahmed
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Al-Shujary, A. (2018). Kähler-Poisson Algebras. (Licentiate dissertation). Linköping: Linköping University Electronic Press
Open this publication in new window or tab >>Kähler-Poisson Algebras
2018 (English)Licentiate thesis, comprehensive summary (Other academic)
Abstract [en]

The focus of this thesis is to introduce the concept of Kähler-Poisson algebras as analogues of algebras of smooth functions on Kähler manifolds. We first give here a review of the geometry of Kähler manifolds and Lie-Rinehart algebras. After that we give the definition and basic properties of Kähler-Poisson algebras. It is then shown that the Kähler type condition has consequences that allow for an identification of geometric objects in the algebra which share several properties with their classical counterparts. Furthermore, we introduce a concept of morphism between Kähler-Poisson algebras and show its consequences. Detailed examples are provided in order to illustrate the novel concepts.

Place, publisher, year, edition, pages
Linköping: Linköping University Electronic Press, 2018. p. 38
Linköping Studies in Science and Technology. Licentiate Thesis, ISSN 0280-7971 ; 1813
National Category
Algebra and Logic
urn:nbn:se:liu:diva-150620 (URN)10.3384/lic.diva-150620 (DOI)9789176852453 (ISBN)
2018-09-27, Nobel BL32, B-huset, ingång 23, plan 2, Campus Valla, Linköping, 10:15 (English)

The series name is corrected in the electronic version of the cover.

Available from: 2018-08-30 Created: 2018-08-30 Last updated: 2019-10-12Bibliographically approved

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