2026-06-07T06:37:03Zhttps://riuma.uma.es/rest/oai/requestoai:riuma.uma.es:10630/463892026-04-16T23:47:34Zcom_10630_2254col_10630_37953
RIUMA. Repositorio Institucional de la Universidad de Málaga
author
Kaigorodov, Ivan
author
Martín-Barquero, Dolores
author
Martín-González, Cándido
2026-04-16T07:03:18Z
0025-01-01
Kaygorodov, I., Martín Barquero, D., & Martín González, C. (2025). Conservative algebras of 2-dimensional algebras, V. Siberian Electronic Mathematical Reports, 22(1), 587–620. https://doi.org/10.33048/semi.2025.22.039
https://hdl.handle.net/10630/46389
10.33048/semi.2025.22.039
The notion of conservative algebras appeared in a pa-
per of Kantor in 1972. Later, he de ned the conservative algebra
W (n) of all algebras (i.e., bilinear maps) on the n-dimensional vec-
tor space. If n > 1, then the algebra W (n) does not belong to any
well-known class of algebras (such as associative, Lie, Jordan, or
Leibniz algebras). It looks like that W (n) in the theory of con-
servative algebras plays a similar role with the role of gln in the
theory of Lie algebras. Namely, an arbitrary conservative algebra
can be obtained from a universal algebra W (n) for some n ∈ N.
The present paper is a part of a series of papers, which dedicated
to the study of the algebra W (2) and its principal subalgebras.
eng
Álgebras no asociativas
Conservative algebras of 2-dimensional algebras, V.
journal article
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