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Euclidean-isotopic symmetries

Technical Report:

Abstract

In this note we introduce the largest possible nonlinear and nonlocal symmetries of the separation (r{sub ia}-r{sub ib})G{sub ij}(r,r{sup `},r{sup ``}...)(r{sub ja}-r{sub jb}), ij=1,2,3, a,b=1,2,...,N, in a Euclidean-isotopic space E-circumflex(r,G,A-circumflex) with isometric G; we identify their Lie-isotopic structure E-circumflex(3), here called Euclidean-isotopic symmetries; and we show that they are all locally isomorphic to the conventional Euclidean symmetry E(3) under the condition of positive-definiteness of the isometric. (author). 1 ref.
Authors:
Publication Date:
Sep 01, 1991
Product Type:
Technical Report
Report Number:
IC-91/262
Reference Number:
SCA: 662120; PA: AIX-23:015408; SN: 92000647097
Resource Relation:
Other Information: PBD: Sep 1991
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; SYMMETRY; EUCLIDEAN SPACE; LIE GROUPS; NONLINEAR PROBLEMS; 662120; SYMMETRY, CONSERVATION LAWS, CURRENTS AND THEIR PROPERTIES
OSTI ID:
10113363
Research Organizations:
International Centre for Theoretical Physics (ICTP), Trieste (Italy)
Country of Origin:
IAEA
Language:
English
Other Identifying Numbers:
Other: ON: DE92615260; TRN: XA9130260015408
Availability:
OSTI; NTIS (US Sales Only); INIS
Submitting Site:
INIS
Size:
8 p.
Announcement Date:
Jun 30, 2005

Technical Report:

Citation Formats

Santilli, R M. Euclidean-isotopic symmetries. IAEA: N. p., 1991. Web.
Santilli, R M. Euclidean-isotopic symmetries. IAEA.
Santilli, R M. 1991. "Euclidean-isotopic symmetries." IAEA.
@misc{etde_10113363,
title = {Euclidean-isotopic symmetries}
author = {Santilli, R M}
abstractNote = {In this note we introduce the largest possible nonlinear and nonlocal symmetries of the separation (r{sub ia}-r{sub ib})G{sub ij}(r,r{sup `},r{sup ``}...)(r{sub ja}-r{sub jb}), ij=1,2,3, a,b=1,2,...,N, in a Euclidean-isotopic space E-circumflex(r,G,A-circumflex) with isometric G; we identify their Lie-isotopic structure E-circumflex(3), here called Euclidean-isotopic symmetries; and we show that they are all locally isomorphic to the conventional Euclidean symmetry E(3) under the condition of positive-definiteness of the isometric. (author). 1 ref.}
place = {IAEA}
year = {1991}
month = {Sep}
}