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Transposed Poisson structures (Q6123325)

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scientific article; zbMATH DE number 7812537

Language	Label	Description	Also known as
English	Transposed Poisson structures	scientific article; zbMATH DE number 7812537

Statements

scholarly article

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Transposed Poisson structures (English)

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Bruno Leonardo Macedo Ferreira

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I. B. Kaĭgorodov

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Results in Mathematics

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publication date

4 March 2024

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full work available at URL

https://arxiv.org/abs/2207.00281

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zbMATH Keywords

Lie algebra

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transposed Poisson algebra

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Hom-Lie algebra

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\(\delta\)-derivation

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MaRDI profile type

MaRDI publication profile

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Poisson algebras and symmetric Leibniz bialgebra structures on oscillator Lie algebras

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The algebraic and geometric classification of nilpotent weakly associative and symmetric Leibniz algebras

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Jordan trialgebras and post-Jordan algebras

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Transposed Poisson algebras, Novikov-Poisson algebras and 3-Lie algebras

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Cohomology structure for a Poisson algebra. II

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The algebraic and geometric classification of transposed Poisson algebras

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Towards Kac-van de Leur conjecture: locality of superconformal algebras

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Classification of linearly compact simple Jordan and generalized Poisson superalgebras

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Classification of Linearly Compact Simple Rigid Superalgebras

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Classification of linearly compact simple Nambu-Poisson algebras

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Noncommutative Leibniz–Poisson Algebras

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Algebraic structures of \(F\)-manifolds via pre-Lie algebras

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Polynomial identities in Novikov algebras

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Central extensions of infinite-dimensional Lie algebras

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Poisson polynomial identities

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On the Kantor product, II

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Degenerations of nilpotent algebras

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\(\frac12\)-derivations of Lie algebras and transposed Poisson algebras

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On \(\delta\)-derivations of Lie algebras

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Koszul duality for operads

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Some identities valid in special Jordan algebras but not valid in all Jordan algebras

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Poisson algebras in terms of non-associative algebras

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Hom-Lie algebra structures on semi-simple Lie algebras

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Normalization of a Poisson algebra is Poisson

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\(\delta\)-superderivations of semisimple finite-dimensional Jordan superalgebras

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Algebras of Jordan brackets and generalized Poisson algebras

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Poisson structures on finitary incidence algebras

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Transposed Poisson structures on Block Lie algebras and superalgebras

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Transposed Poisson structures on Witt type algebras

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Transposed Poisson structures on generalized Witt algebras and Block Lie algebras

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Transposed Poisson structures on Galilean and solvable Lie algebras

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Free generic Poisson fields and algebras

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Degenerations of Filippov algebras

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The Freiheitssatz for generic Poisson algebras

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Conformal envelopes of Novikov-Poisson algebras

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On the Special Identities of Gelfand–Dorfman Algebras

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Gelfand-Dorfman algebras, derived identities, and the Manin product of operads

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On special identities for dialgebras

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From Poisson algebras to Gerstenhaber algebras

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Anti-pre-Lie algebras, Novikov algebras and commutative 2-cocycles on Lie algebras

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Noncommutative Poisson bialgebras

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\(F\)-manifold algebras and deformation quantization via pre-Lie algebras

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Algebraic Operads

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Transposed BiHom-Poisson algebras

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Polynomial and Poisson dependence in free Poisson algebras and free Poisson fields

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Automorphisms and derivations of free Poisson algebras in two variables

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Centralizers in free Poisson algebras

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The Freiheitssatz for Poisson algebras

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Free Poisson fields and their automorphisms

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Hom-Lie structures on Kac-Moody algebras

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Algebras with one operation including Poisson and other Lie-admissible algebras

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JORDAN SUPERALGEBRAS DEFINED BY BRACKETS

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Classification of simple graded Lie algebras of finite growth

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Speciality and non-speciality of two Jordan superalgebras

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Poisson PI algebras

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AN ESTIMATE OF THE NUMBER OF PARAMETERS DEFINING AN $n$-DIMENSIONAL ALGEBRA

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Poisson bialgebras

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\(\mathbb{Z}_2\)-graded Poisson algebras, their deformations and cohomology in low dimensions

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The tame and the wild automorphisms of polynomial rings in three variables

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Hom-Lie superalgebra structures on exceptional simple Lie superalgebras of vector fields

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Selected works of A. I. Shirshov. Translated by Murray Bremner and Mikhail V. Kotchetov. Edited by Leonid A. Bokut, Victor Latyshev, Ivan Shestakov and Efim Zelmanov

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Quasivariety of special Jordan algebras

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The Anick automorphism of free associative algebras

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Universal enveloping algebras and universal derivations of Poisson algebras

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Double Poisson algebras

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SPECIAL AND EXCEPTIONAL JORDAN DIALGEBRAS

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Quasi-Automorphisms of Lie Algebras

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Hom-structures on semi-simple Lie algebras

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Hom-structures on simple graded Lie algebras of finite growth

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Noncommutative Poisson Algebras

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Novikov-Poisson algebras

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Quiver Poisson algebras

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-(bi)derivations and transposed Poisson algebra structures on Lie algebras

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Hom-structures on finite-dimensional simple Lie superalgebras

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Hom-Lie superalgebra structures on infinite-dimensional simple Lie superalgebras of vector fields

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Novikov–Poisson Algebras and Superalgebras of Jordan Brackets

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Erratum to ``On \(\delta\)-derivations of Lie algebras and superalgebras''

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On contact brackets on the tensor product

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Identifiers

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10.1007/s00025-023-02107-x

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Mathematics Subject Classification ID

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zbMATH DE Number

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Sitelinks

Mathematics(1 entry)

mardi Publication:6123325

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