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

Abstract

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:
Research Org.:
Instituto Venezolano de Investigaciones Cientificas, Caracas
OSTI Identifier:
6444396
Resource Type:
Journal Article
Resource Relation:
Journal Name: Hadronic J.; (United States); Journal Volume: 3:6
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)

Citation Formats

Kalnay, A.J. Fundamental realization of Lie-admissible algebras: flexibility, centers, and nuclei. United States: N. p., 1980. Web.
Kalnay, A.J. Fundamental realization of Lie-admissible algebras: flexibility, centers, and nuclei. United States.
Kalnay, A.J. Wed . "Fundamental realization of Lie-admissible algebras: flexibility, centers, and nuclei". United States. doi:.
@article{osti_6444396,
title = {Fundamental realization of Lie-admissible algebras: flexibility, centers, and nuclei},
author = {Kalnay, A.J.},
abstractNote = {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.},
doi = {},
journal = {Hadronic J.; (United States)},
number = ,
volume = 3:6,
place = {United States},
year = {Wed Oct 01 00:00:00 EDT 1980},
month = {Wed Oct 01 00:00:00 EDT 1980}
}
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