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   Articles with "poisson algebras" as a keyword



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Numerical Characteristics of Varieties of Poisson Algebras

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recommendations! Published in 2019 at "Journal of Mathematical Sciences"

DOI: 10.1007/s10958-019-4157-1

Abstract: This paper is a survey of recent results of investigations on varieties of Poisson algebras. We give constructions of varieties of Poisson algebras with extremal properties, we give equivalent conditions for the polynomial codimension growth… read more here.

Keywords: varieties poisson; poisson algebras; numerical characteristics; characteristics varieties ... See more keywords
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Kähler–Poisson algebras

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recommendations! Published in 2019 at "Journal of Geometry and Physics"

DOI: 10.1016/j.geomphys.2018.11.001

Abstract: We introduce Kahler-Poisson algebras as analogues of algebras of smooth functions on Kahler manifolds, and prove that they share several properties with their classical counterparts on an algebraic ... read more here.

Keywords: hler poisson; poisson algebras; poisson; geometry ... See more keywords
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Graded Poisson algebras on bordism groups of garlands

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recommendations! Published in 2021 at "Topology and its Applications"

DOI: 10.1016/j.topol.2021.107919

Abstract: Let $M$ be an oriented manifold and let $N$ be a set consisting of oriented closed manifolds of possibly different dimensions. Roughly speaking, the space $G_{N, M}$ of $N$-garlands in $M$ is the space of… read more here.

Keywords: algebras bordism; poisson algebras; poisson; graded poisson ... See more keywords
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A NEW FAMILY OF POISSON ALGEBRAS AND THEIR DEFORMATIONS

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recommendations! Published in 2017 at "Nagoya Mathematical Journal"

DOI: 10.1017/nmj.2017.29

Abstract: Let $\Bbbk$ be a field of characteristic zero. For any positive integer $n$ and any scalar $a\in \Bbbk$ , we construct a family of Artin–Schelter regular algebras $R(n,a)$ , which are quantizations of Poisson structures… read more here.

Keywords: algebras deformations; poisson algebras; family poisson; family ... See more keywords
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Weakly associative algebras, Poisson algebras and deformation quantization

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recommendations! Published in 2021 at "Communications in Algebra"

DOI: 10.1080/00927872.2021.1909058

Abstract: Abstract Weakly associative algebras are a class of Lie-admissible algebras that generalize associative algebras and useful to extend the class of formal deformations of associative commutative algebras. Thus we obtain a new method of determining… read more here.

Keywords: algebras poisson; poisson algebras; quantization; associative algebras ... See more keywords
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Some characterizations of color Hom-Poisson algebras

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recommendations! Published in 2018 at "Hacettepe Journal of Mathematics and Statistics"

DOI: 10.15672/hjms.2018.640

Abstract: In this paper, we describe color Hom-Poisson structures in terms of a single bilinear operation. This enables us to explore color Hom-Poisson algebras in the realm of non-Hom-associative color algebras. read more here.

Keywords: hom poisson; characterizations color; poisson algebras; color hom ... See more keywords