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Title: Fundamental realization of Lie-admissible algebras: flexibility, centers, and nuclei

In this paper we study Albert's Lie-admissible algebras in Santilli's fundamental realization B(P,Q) with product M*N = MPN - NQM where P + Q is not equal to 0. We prove that, if B(P,Q) is a not flexible division algebra with a unit element, and it is such that its nucleus and center coincide, then the dimension of the center is higher than one. A number of generalizations and implications of the result are indicated.
Authors:
Publication Date:
OSTI Identifier:
6444396
Resource Type:
Journal Article
Resource Relation:
Journal Name: Hadronic J.; (United States); Journal Volume: 3:6
Research Org:
Instituto Venezolano de Investigaciones Cientificas, Caracas
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; LIE GROUPS; ALGEBRA; MATHEMATICS; SYMMETRY GROUPS 658000* -- Mathematical Physics-- (-1987)