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Normal forms for Poisson maps and symplectic groupoids around Poisson transversals. [PDF]

Lett Math Phys, 2018
Frejlich P, Mărcuț I.
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Quantum cluster algebras and quantum nilpotent algebras. [PDF]

Proc Natl Acad Sci U S A, 2014
Goodearl KR, Yakimov MT.
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Cluster algebras. [PDF]

Proc Natl Acad Sci U S A, 2014
Leclerc B, Williams LK.
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Acoustic emission applied to stochastic modeling of microdamage in compact bone. [PDF]

Biomech Model Mechanobiol
Sánchez-Molina D, García-Vilana S.
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Modelling neural probabilistic computation using vector symbolic architectures. [PDF]

Cogn Neurodyn
Furlong PM, Eliasmith C.
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Malcev–Poisson–Jordan algebras

Journal of Algebra and Its Applications, 2016
Malcev–Poisson–Jordan algebra (MPJ-algebra) is defined to be a vector space endowed with a Malcev bracket and a Jordan structure which are satisfying the Leibniz rule. We describe such algebras in terms of a single bilinear operation, this class strictly contains alternative algebras. For a given Malcev algebra [Formula: see text], it is interesting to
Ait Ben Haddou, Malika, Benayadi, Saïd, Boulmane, Said   +2 more
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Pre-Poisson Algebras

Letters in Mathematical Physics, 2000
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Noncommutative Poisson Algebras

American Journal of Mathematics, 1994
The main purpose of the present article is to introduce the notion of Poisson structures on an associative algebra, and to discuss several examples. In the first section, the author recalls the \(G\)-brackets for associative algebras which generalize the usual Schouten-brackets for multivector fields in differential geometry.
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Frobenius Poisson algebras

Frontiers of Mathematics in China, 2019
The notion of Poisson algebra and Frobenius algebra together coincides with that of Frobenius Poisson algebra and it is the main study of the paper under review. In that, relations between generalizing unimodular Poisson algebras and their cohomology algebras by Rham 1-cocycle and modular derivation with the support of Batalin-Vilkovisky algebras are ...
Luo, Juan, Wang, Shengqiang, Wu, Quanshui   +2 more
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On Split Malcev Poisson Algebras

Siberian Mathematical Journal, 2021
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