RT journal article
T1 Conservative algebras of 2-dimensional algebras, IV
A1 Fernández Ouaridi, Amir
A1 Kaygorodov, Ivan
A1 Martín Gónzalez, Cándido
A2 Matemáticas
K1 Bilinear maps
K1 conservative algebra
K1 contraction
K1 identities
AB The notion of conservative algebras appeared in a paper by Kantor in 1972. Later, he defined the conservative algebra W(n) of all algebras (i.e. bilinear maps) on the n-dimensional vector 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 W(n) in the theory of conservative algebras plays a similar role to 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 part of a series of papers, which is dedicated to the study of the algebra W(2) and its principal subalgebras.
PB World Scientific
SN 1793-6829
YR 2023
FD 2023
LK http://hdl.handle.net/10498/32668
UL http://hdl.handle.net/10498/32668
LA eng
DS Repositorio Institucional de la Universidad de Cádiz
RD 10-may-2026