AN EXTENSION OF THE INHOMOGENEOUS LORENTZ GROUP

Journal Article · Fri Jan 01 04:00:00 EST 1960 · Ann. Acad. Sci. Fennicae. Ser. A VI

OSTI ID:4097415

Ahmavaara, Y

The theory of the inhomogeneous Lorentz group is investigated in view of the possibility of finding, using only formal group-theoretical arguments, an extension of this group which could have properties in common with the "true" elementary particles group. It is shown that an extension, suggested by such formal arguments and connected with the adjoint representation, can be constructed which gives a particle model with the following properties: (1) a distinction between the "heavy" and the "light" particles appears and (2) an "isotopic spin" is defined for the heavy particles which degenerates, in the case of the light particles, to a single pseudoscalar quantity. Among the mathematical preliminaries, some results concerning the canonical parametrization, 4-screws, adjoint representation, and classes of the Lorentz group are stated. (auth)

• Research Organization: Originating Research Org. not identified
• NSA Number: NSA-15-009681
• OSTI ID: 4097415
• Journal Information: Ann. Acad. Sci. Fennicae. Ser. A VI, Journal Name: Ann. Acad. Sci. Fennicae. Ser. A VI Vol. Vol: No. 60
• Country of Publication: Country unknown/Code not available
• Language: English

Related Subjects

ELEMENTARY PARTICLES
GROUP THEORY
ISOSPIN
LORENTZ GROUP
MATHEMATICS
PARTICLE MODELS
PHYSICS