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- W4206364041 abstract "In this paper, first we give the cohomology theory of a Poisson algebra with a module (called a PoiMod pair) and study the linear deformation theory of a PoiMod pair. We introduce the notion of a Nijenhuis structure on a PoiMod pair, which gives a trivial linear deformation. Then by adding compatibility conditions between Nijenhuis structures and O-operators, we introduce the notion of an ON-structure on a PoiMod pair and show that an ON-structure gives rise to a hierarchy of pairwise compatible O-operators. Finally we introduce the notions of PN- and ΩN-structures on Poisson algebras and study their relations." @default.
- W4206364041 created "2022-01-26" @default.
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- W4206364041 date "2022-03-01" @default.
- W4206364041 modified "2023-10-09" @default.
- W4206364041 title "Cohomologies of <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML altimg=si1.svg><mml:mi mathvariant=sans-serif>PoiMod</mml:mi></mml:math> pairs and compatible structures on Poisson algebras" @default.
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- W4206364041 doi "https://doi.org/10.1016/j.geomphys.2021.104449" @default.
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