A Rejoinder on Quaternionic Projective Representations

TL;DR

This paper clarifies the semantic differences in quaternionic projective representations, aiming to resolve previous ambiguities and advance understanding in quaternionic Hilbert space representations.

Contribution

It provides a resolution to semantic ambiguities in the definition of quaternionic projective representations, clarifying their significance.

Findings

Clarified the semantic differences in quaternionic projective representations

Resolved ambiguities that obscured the understanding of these representations

Contributed to the theoretical foundation of quaternionic Hilbert space representations

Abstract

In a series of papers published in this Journal (J. Math. Phys.), a discussion was started on the significance of a new definition of projective representations in quaternionic Hilbert spaces. The present paper gives what we believe is a resolution of the semantic differences that had apparently tended to obscure the issues.