Artículos de revistas
Conservative Algebras Of 2-dimensional Algebras
Registration in:
Conservative Algebras Of 2-dimensional Algebras. Elsevier Science Inc, v. 486, p. 255-274 DEC-2015.
0024-3795
WOS:000363082800006
10.1016/j.laa.2015.08.011
Author
Kaygorodov
Ivan; Lopatin
Artem; Popov
Yury
Institutions
Abstract
Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP) In 1990 Kantor introduced the conservative algebra W(n) of all algebras (i.e. bilinear maps) on the n-dimensional vector space. In case n > 1 the algebra W(n) does not belong to well-known classes of algebras (such as associative, Lie, Jordan, Leibniz algebras). We describe the algebra of all derivations of W(2) and subalgebras of W(2) of codimension one. We also study similar problems for the algebra W-2 of all commutative algebras on the two-dimensional vector space and the algebra S-2 of all commutative algebras with trace zero multiplication on the two-dimensional space. (C) 2015 Elsevier Inc. All rights reserved. 486
255 274 Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP) RFBR [14-01-31084, 14-01-31122] Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)