Response to the Comment by G. Emch on Projective Group Representations in Quaternionic Hilbert Space

Details Response to the Comment by G. Emch on Projective Group Representations in Quaternionic Hilbert Space Response to the Comment by G. Emch on Projective Group Representations in Quaternionic Hilbert Space

1996-08-30

arxiv.org/abs/hep-th/9609012v1

J.Math.Phys. 37 (1996) 6586-6589

Physics

High Energy Physics

High Energy Physics - Theory

8 pages, Revtex, no figures

Scientific paper

10.1063/1.531747

We discuss the differing definitions of complex and quaternionic projective group representations employed by us and by Emch. The definition of Emch (termed here a strong projective representation) is too restrictive to accommodate quaternionic Hilbert space embeddings of complex projective representations. Our definition (termed here a weak projective representation) encompasses such embeddings, and leads to a detailed theory of quaternionic, as well as complex, projective group representations.

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