Derivations of a Restricted Weyl-Type Algebra Containing the Polynomial Ring
Titel:
Derivations of a Restricted Weyl-Type Algebra Containing the Polynomial Ring
Auteur:
Choi, Seul Hee Lee, Jongwoo Nam, Ki-Bong
Verschenen in:
Communications in algebra
Paginering:
Jaargang 36 (2008) nr. 9 pagina's 3435-3446
Jaar:
2008-09
Inhoud:
A Weyl type nonassociative algebra and its subalgebra have been defined in the articles Choi and Nam (2005a, b, c); Lee and Nam (2004). Several authors have found all the derivations of some given algebra (see Ahmadi et al., 2005; Choi and Nam, 2005b; Kac, 1974; Kirkman et al., 1994; Osborn, 1997; Osborn and Passman, 1995). In this article, we find all derivations of the nonassociative algebra [image omitted] and show that the dimension of all derivations of the algebra [image omitted] is (s1 + s2)2 + s1 + s2. Because of the dimension of a derivation algebra, we know that if s1 + s2 ≠ s1' + s2', then the algebras [image omitted] and [image omitted] are not isomorphic.