Poisson algebras and their ideals
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Abstract (EN)
A commutative associative algebra P becomes a Poisson algebra if it is a Lie algebra with the Lie bracket {, } and if it satisfies the Leibniz rule, {p1.p2, p3} = p1.{p2, p3} + {p1, p3}.p2, for all p1, p2, p3 ∈ P . In this thesis, Poisson algebras, Poisson modules, Poisson deriva- tions, Poisson ideals are investigated and some theorems, illustrative propositions and examples about them are given. Key words: Poisson algebras, Lie algebras, ideals, modules, derivations.
Author
Ibrahım Bakarı Ibrahım Bakarı
How to Cite
Ibrahım Bakarı Ibrahım Bakarı (Master Thesis). Poisson algebras and their ideals, 2020, Çukurova University.
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