The variety of dual mock-Lie algebras

Luisa M. Camacho; Ivan Kaygorodov; Viktor Lopatkin; Mohamed A. Salim

doi:10.2478/cm-2020-0019

Luisa M. Camacho ; Ivan Kaygorodov ; Viktor Lopatkin ; Mohamed A. Salim - The variety of dual mock-Lie algebras

cm:9511 - Communications in Mathematics, October 11, 2020, Volume 28 (2020), Issue 2 (Special Issue: 2nd International Workshop on Nonassociative Algebras in Porto) - https://doi.org/10.2478/cm-2020-0019

The variety of dual mock-Lie algebrasArticle

Authors: Luisa M. Camacho ; Ivan Kaygorodov ; Viktor Lopatkin ; Mohamed A. Salim

We classify all complex 7- and 8-dimensional dual mock-Lie algebras by the algebraic and geometric way. Also, we find all non-trivial complex 9-dimensional dual mock-Lie algebras.

https://doi.org/10.2478/cm-2020-0019

Source: HAL:hal-03664997v1

Volume: Volume 28 (2020), Issue 2 (Special Issue: 2nd International Workshop on Nonassociative Algebras in Porto)

Published on: October 11, 2020

Imported on: May 11, 2022

Keywords: General Mathematics,[MATH]Mathematics [math]

Licence: Attribution-Non Commercial-NoDerivatives 4.0 International (CC BY-NC-ND 4.0)

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Mathematics Subject Classification 2020¹

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Bibliographic References

15 Documents citing this article

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A.L. Agore;G. Militaru, 2021, Algebraic constructions for Jacobi-Jordan algebras, arXiv (Cornell University), 630, pp. 158-178, 10.1016/j.laa.2021.08.003, https://arxiv.org/abs/2105.14722.

Ivan Kaygorodov;María Alejandra Alvarez;Thiago Castilho de Mello, 2021, Central extensions of 3-dimensional Zinbiel algebras, arXiv (Cornell University), 72, 2, pp. 921-947, 10.1007/s11587-021-00604-1, https://arxiv.org/abs/2104.03429.

Ivan Kaygorodov;Mykola Khrypchenko;Samuel A. Lopes, 2021, The algebraic classification of nilpotent algebras, arXiv (Cornell University), 21, 12, 10.1142/s0219498823500093, https://arxiv.org/abs/2012.00525.

Jobir Adashev;Ivan Kaygorodov;Abror Khudoyberdiyev;Aloberdi Sattarov, 2021, The algebraic and geometric classification of nilpotent left-symmetric algebras, arXiv (Cornell University), 167, pp. 104287, 10.1016/j.geomphys.2021.104287, https://arxiv.org/abs/2106.00336.

María Alejandra Alvarez;Ivan Kaygorodov, 2021, The algebraic and geometric classification of nilpotent weakly associative and symmetric Leibniz algebras, arXiv (Cornell University), 588, pp. 278-314, 10.1016/j.jalgebra.2021.09.002, http://arxiv.org/abs/2205.00444.

Shirali Kadyrov;Farukh Mashurov, 2021, Unified computational approach to nilpotent algebra classification problems, Communications in Mathematics, 29, 2, pp. 215-226, 10.2478/cm-2021-0019, https://doi.org/10.2478/cm-2021-0019.

Doston Jumaniyozov;Ivan Kaygorodov;Abror Khudoyberdiyev, 2020, The algebraic classification of nilpotent commutative CD-algebras, arXiv (Cornell University), 49, 4, pp. 1464-1494, 10.1080/00927872.2020.1837852, http://arxiv.org/abs/2109.00483.

Farukh Mashurov;Ivan Kaygorodov, 2020, One-generated nilpotent assosymmetric algebras, arXiv (Cornell University), 21, 02, 10.1142/s0219498822500311, http://arxiv.org/abs/2101.07375.

Ivan Kaygorodov;Mykola Khrypchenko, 2020, The algebraic classification of nilpotent ℭ𝔇-algebras, arXiv (Cornell University), 70, 19, pp. 3840-3886, 10.1080/03081087.2020.1856030, http://arxiv.org/abs/2006.00734.

Luisa M. Camacho;Iqboljon Karimjanov;Ivan Kaygorodov;Abror Khudoyberdiyev, 2020, Central extensions of filiform Zinbiel algebras, arXiv (Cornell University), 70, 8, pp. 1479-1495, 10.1080/03081087.2020.1764903, https://arxiv.org/abs/2009.00988.

Luisa M. Camacho;Iqboljon Karimjanov;Ivan Kaygorodov;Abror Khudoyberdiyev, 2020, One-generated nilpotent Novikov algebras, arXiv (Cornell University), 70, 2, pp. 331-365, 10.1080/03081087.2020.1725411, https://arxiv.org/abs/2004.03598.

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