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A GROUP THEORETICAL CONSIDERATION OF THE FIRST PRINCIPLES OF RELATIVISTIC QUANTUM MECHANICS. III. IRREDUCIBLE REPRESENTATIONS OF CLASSES P*SUB 0/ AND O*SUB 0/ AND NOT FULLY REDUCIBLE REPRESENTATIONS OF AN INHOMOGENEOUS LORENTZ GROUP

Yu. M. Shirokov

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Abstract

All unitary and nonunitary irreducible representations of class P/sub o/ of an inhomogeneous Lorentz group are obtained in the explicit form. The isomonphism of representations of class O/sub o/ and representations of a homogeneous Lorentz group is considered. Certain not fully reducible representations of an inhomogeneous Lorentz group that are of physical interest are indicated. (tr-auth)

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All unitary and nonunitary irreducible representations of class P/sub o/ of an inhomogeneous Lorentz group are obtained in the explicit form. The isomonphism of representations of class O/sub o/ and representations of a homogeneous Lorentz group is considered. Certain not fully reducible representations of an inhomogeneous Lorentz group that are of physical interest are indicated. (tr-auth)

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Available abstract

All unitary and nonunitary irreducible representations of class P/sub o/ of an inhomogeneous Lorentz group are obtained in the explicit form. The isomonphism of representations of class O/sub o/ and representations of a homogeneous Lorentz group is considered. Certain not fully reducible representations of an inhomogeneous Lorentz group that are of physical interest are indicated. (tr-auth)

Key concepts: Lorentz group, Representation theory of the Lorentz group, Lorentz transformation, Group (periodic table), Unitary state, Class (philosophy), Irreducible representation, Mathematics

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A GROUP THEORETICAL CONSIDERATION OF THE FIRST PRINCIPLES OF RELATIVISTIC QUANTUM MECHANICS. III. IRREDUCIBLE REPRESENTATIONS OF CLASSES P*SUB 0/ AND O*SUB 0/ AND NOT FULLY REDUCIBLE REPRESENTATIONS OF AN INHOMOGENEOUS LORENTZ GROUP — Research Paper | ScholarLens