On a Remarkable Class of Left-symmetric Algebras and its Relationship with the Class of Novikov Algebras

Journal Article

قديري, محمد علي . 2016

• نوع عمل المنشور: ورقة علمية محكمة
• رابط المنشور على الويب: http://dx.doi.org/10.1080/00927872.2015.1065853
• الوسوم: بحث علمي
• المجلة \ الصحيفة: Communications in Algebra
• رقم العدد: 44
• رقم الإصدار السنوي: (2016) 44
• الصفحات: 2919–2937

مستخلص المنشور

​Abstract. We discuss locally simply transitive affine actions of Lie groups G on finite-dimensional
vector spaces such that the commutator subgroup GG is acting by translations.
In other words, we consider left-symmetric algebras satisfying the identity [x, y] · z =0
We derive some basic characterizations of such left-symmetric algebras, and we
highlight their relationships with the so-called Novikov algebras and derivation algebras.