Cover Image

On speciality of Jordan brackets

We conjecture a criterium of speciality for Jordan superalgebras of brackets that generalizes the corresponding criterium for Jordan Poisson superalgebras from [8]. We prove the necessarity condition of the criterium. The question on its sufficiency remains open.

Saved in:

Bibliographic Details
Date:	2018
Main Author:	Shestakov, Ivan
Format:	Article
Language:	English
Published:	Lugansk National Taras Shevchenko University 2018
Subjects:	Jordan superalgebra Jordan bracket Poisson bracket special algebra Kantor double. 17C50 17C70 17A70
Online Access:	https://admjournal.luguniv.edu.ua/index.php/adm/article/view/791
Tags:	Add Tag No Tags, Be the first to tag this record!
Journal Title:	Algebra and Discrete Mathematics

Institution

Algebra and Discrete Mathematics

Similar Items

On the representation type of Jordan basic algebras
by: Kashuba, Iryna, et al.
Published: (2017)

Poisson brackets on some skew PBW extensions
by: Zambrano, B. A.
Published: (2020)

Representations and relative Rota-Baxter operators of Hom-Leibniz-Poisson algebras
by: Attan, Sylvain
Published: (2025)

On special subalgebras of derivations of Leibniz algebras
by: Shermatova, Z., et al.
Published: (2023)

Lie and Jordan structures of differentially semiprime rings
by: Artemovych, Orest D., et al.
Published: (2015)

Graded limits of minimal affinizations and beyond: the multiplicity free case for type \(E_6\)
by: Moura, Adriano, et al.
Published: (2018)

On extension of classical Baer results to Poisson algebras
by: Kurdachenko, L. A., et al.
Published: (2021)

The representation type of elementary abelian \(p\)-groups with respect to the modules of constant Jordan type
by: Bondarenko, Vitalij M., et al.
Published: (2018)

On the algebra of derivations of some Leibniz algebras
by: Kurdachenko, Leonid A., et al.
Published: (2024)

On the structure of the algebra of derivation of some non-nilpotent Leibniz algebras
by: Kurdachenko, Leonid A., et al.
Published: (2025)

On the structure of the algebra of derivations of cyclic Leibniz algebras
by: Kurdachenko, L. A., et al.
Published: (2022)

Finitely presented quadratic algebras of~intermediate growth
by: Koçak, Dilber
Published: (2015)

Some properties of the commutators of special linear quantum groups
by: Atteya, Mehsin Jabel
Published: (2024)

Ideally finite Leibniz algebras
by: Kurdachenko, L. A., et al.
Published: (2023)

On the structure of Leibniz algebras whose subalgebras are ideals or core-free
by: Chupordia, V. A., et al.
Published: (2020)

Classification of the pairs of matrices of fixed Jordan types and representations of bundles of semichains
by: Bondarenko, V. M., et al.
Published: (2023)

On the structure of some Leibniz rings
by: Kurdachenko, Leonid A., et al.
Published: (2025)

The prime spectrum of the universal enveloping algebra of the 1-spatial ageing algebra and of \(U(\mathfrak{gl}_2)\)
by: Bavula, V., et al.
Published: (2021)

\((\mathcal{T}_{\textsf {Lie}})\)-Leibniz algebras and related properties
by: Tcheka, C., et al.
Published: (2024)

Leibniz algebras with absolute maximal Lie subalgebras
by: Biyogmam, G. R., et al.
Published: (2020)

On the anticommutativity in Leibniz algebras
by: Kurdachenko, Leonid Andreevich, et al.
Published: (2018)

Combinatorics of irreducible Gelfand-Tsetlin \(sl(3)\)-modules
by: Ramirez, Luis Enrique
Published: (2018)

Certain invariants of generic matrix algebras
by: Öğüşlü, Nazar Ş., et al.
Published: (2024)

Ternary Hopf algebras
by: Zekovic, Biljana
Published: (2018)

Automorphic equivalence of the representations of Lie algebras
by: Shestakov, I., et al.
Published: (2018)

Uncountably many non-isomorphic nilpotent real \(n\)-Lie algebras
by: Stitzinger, Ernest, et al.
Published: (2018)

Deformations of compatible Hom-mock-Lie algebras
by: Benali, Karima, et al.
Published: (2025)

On the character tables of symmetric groups
by: Kawsathon, K., et al.
Published: (2022)

Additivity of elementary maps on alternative rings
by: Ferreira, Bruno
Published: (2019)

On nilpotent Lie algebras of derivations of fraction fields
by: Petravchuk, Anatoliy P.
Published: (2016)

Certain verbal congruences on the free trioid
by: Zhuchok, Anatolii V.
Published: (2024)

Classification of irreducible non-dense modules for \(A_{2}^{\left(2\right)}\)
by: Bunke, Thomas
Published: (2018)

Multi-solid varieties and Mh-transducers
by: Shtrakov, Slavcho
Published: (2018)

Free rectangular dibands and free dimonoids
by: Zhuchok, Anatolii V.
Published: (2018)

Inner automorphisms of Lie algebras related with generic \(2\times 2\) matrices
by: Drensky, Vesselin, et al.
Published: (2018)

Lie algebras associated with quadratic forms and their applications to Ringel-Hall algebras
by: Kosakowska, Justyna
Published: (2018)

On nilpotent Lie algebras of derivations with large center
by: Sysak, Kateryna
Published: (2016)

Free \((\ell r, rr)\)-dibands
by: Zhuchok, Anatolii V.
Published: (2018)

Lie algebras of derivations with large abelian ideals
by: Klymenko, I. S., et al.
Published: (2019)

Structure of relatively free trioids
by: Zhuchok, A. V.
Published: (2021)