Absence of trivial subrepresentations from tensor products of unitary representations of pseudo‐orthogonal groups

Absence of trivial subrepresentations from tensor products of unitary representations of pseudo‐orthogonal groups

A unitary tensor product representation of the group S O 0(1,n), n =2,3,4, does not contain the trivial representation as a discrete direct summand unless each of the factors does.

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Veröffentlicht in:J. Math. Phys. (N.Y.), v. 15, no. 9, pp. 1567-1570 v. 15, no. 9, pp. 1567-1570, 1974-09, Vol.15 (9), p.1567-1570
1. Verfasser: Fulling, S. A.
Format: Artikel
Sprache:eng
Schlagworte:
GROUP THEORY
N76200 -Physics (Theoretical)-Quantum Field Theories
QUANTUM FIELD THEORY- IRREDUCIBLE REPRESENTATIONS
SO GROUPS
TENSORS
UNITARY SYMMETRY
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Zusammenfassung:A unitary tensor product representation of the group S O 0(1,n), n =2,3,4, does not contain the trivial representation as a discrete direct summand unless each of the factors does.
ISSN:0022-2488
1089-7658
DOI:10.1063/1.1666848