Poisson algebras and their ideals
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Özet (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.
Yazar
Ibrahım Bakarı Ibrahım Bakarı
Bu Yayına Nasıl Atıf Yapılır
Ibrahım Bakarı Ibrahım Bakarı (Master Thesis). Poisson algebras and their ideals, 2020, Çukurova University.
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Lisans
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