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Generalized Symmetry Transformations on Quaternionic Indefinite Inner Product Spaces: An Extension of Quaternionic Version of Wigner’s Theorem

✍ Scribed by Peter Šemrl


Publisher
Springer
Year
2003
Tongue
English
Weight
132 KB
Volume
242
Category
Article
ISSN
0010-3616

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Orthogonality Preserving Transformations
✍ Lajos Molnár 📂 Article 📅 2002 🏛 Elsevier Science 🌐 English ⚖ 146 KB

We present an analogue of Uhlhorn's version of Wigner's theorem on symmetry transformations for the case of indefinite inner product spaces. This significantly generalizes a result of Van den Broek. The proof is based on our main theorem, which describes the form of all bijective transformations on