Skip to main content
U.S. Department of Energy
Office of Scientific and Technical Information

Response to the Comment by G. Emch on projective group representations in quaternionic Hilbert space

Journal Article · · Journal of Mathematical Physics
DOI:https://doi.org/10.1063/1.531747· OSTI ID:397477
 [1]
  1. Institute for Advanced Study, Princeton, New Jersey 08540 (United States)

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. {copyright} {ital 1996 American Institute of Physics.}

Research Organization:
Institute for Advanced Study
DOE Contract Number:
FG02-90ER40542
OSTI ID:
397477
Journal Information:
Journal of Mathematical Physics, Journal Name: Journal of Mathematical Physics Journal Issue: 12 Vol. 37; ISSN 0022-2488; ISSN JMAPAQ
Country of Publication:
United States
Language:
English

Similar Records

Projective group representations in quaternionic Hilbert space
Journal Article · Wed May 01 00:00:00 EDT 1996 · Journal of Mathematical Physics · OSTI ID:280118

On the structure of projective group representations in quaternionic Hilbert space
Journal Article · Thu Oct 31 23:00:00 EST 1996 · Journal of Mathematical Physics · OSTI ID:434718

A rejoinder on quaternionic projective representations
Journal Article · Mon Sep 01 00:00:00 EDT 1997 · Journal of Mathematical Physics · OSTI ID:538448