Weyl Type Non-Associative Algebras Using Additive Groups I

• 来源期刊: 代数集刊(英文版)
• 关键词: simple non-associative algebra Kronecker delta left identity annihilator idempotent semi-Lie algebra
• 年，卷（期）: 2007,（3）
• 页码范围: 479-488
• 页数: 10页
• 语种: 英文

摘要

A Weyl type algebra is defined in the book [4].A Weyl type non-associative algebra WPm,n,8 and its restricted subalgebra WPm,n,sr are defined in various papers (see [1,3,11,12]).Several authors find all the derivations of an associative (a Lie,anon-associative) algebra (see [1,2,4,6,11,12]).We define the non-associative simplealgebra WPA.ngn,A.m,A.s B and the semi-Lie algebra WP A.ngn,A.m,A.sB[,],where B={1,(6)1,(6)2,(6)12,(6)1/2,(6)2/2}.We prove that the algebra is simple and find all its non-associative algebra derivations.