RT Journal Article
T1 Conservative algebras of 2-dimensional algebras, V.
A1 Kaigorodov, Ivan
A1 Martín-Barquero, Dolores
A1 Martín-González, Cándido
K1 Álgebras no asociativas
AB The notion of conservative algebras appeared in a pa-per of Kantor in 1972. Later, he de ned the conservative algebraW (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 anywell-known class of algebras (such as associative, Lie, Jordan, orLeibniz algebras). It looks like that W (n) in the theory of con-servative algebras plays a similar role with the role of gln in thetheory of Lie algebras. Namely, an arbitrary conservative algebracan be obtained from a universal algebra W (n) for some n ∈ N.The present paper is a part of a series of papers, which dedicatedto the study of the algebra W (2) and its principal subalgebras.
PB Sobolev Institute of Mathematics
YR 0025
FD 0025-01-01
LK https://hdl.handle.net/10630/46389
UL https://hdl.handle.net/10630/46389
LA eng
NO 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
NO https://math-semr.ru/en/
DS RIUMA. Repositorio Institucional de la Universidad de Málaga
RD 4 may 2026