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This research aims to explore the Poisson cohomology of the Lie algebra sl*(2) within the context of symplectic structures and their applications.

The Poisson cohomology of sl^₂ (R)

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This research aims to explore the Poisson cohomology of the Lie algebra sl*(2) within the context of symplectic structures and their applications.
Utilized cohomological techniques to analyze Poisson structures in sl*(2) algebra.
Examined the implications of results within the framework of symplectic geometry.
Discussed the relationships between Poisson cohomology and other algebraic constructs.
Established significant properties of the Poisson cohomology in sl*(2) algebra.
Identified potential applications of the findings in broader mathematical theory.
Revealed new connections to homological algebra framework.

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Research explores cohomological structures in the Poisson framework of sl algebra, suggesting new mathematical connections.

Contains fulltext : 300965.pdf (Publisher’s version ) (Open Access)

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Mărcuț et al. (2023) studied this question.

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Research explores cohomological structures in the Poisson framework of sl algebra, suggesting new mathematical connections.

Contains fulltext : 300965.pdf (Publisher’s version ) (Open Access)