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Quasi-Affinity for Unbounded Representations

✍ Scribed by Schôichi Ôta

Publisher
John Wiley and Sons
Year
1990
Tongue
English
Weight
275 KB
Volume
147
Category
Article
ISSN
0025-584X

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✦ Synopsis

Abstract

Quasi‐affinity for unbounded representations are introduced and it is shown that, if a self‐adjoint representation π is quasi‐affine to a *‐representation ϱ, then ϱ is also self‐adjoint and π and ϱ are unitarily equivalent.

📜 SIMILAR VOLUMES

Basic Representations for Classical Affi
Basic Representations for Classical Affine Lie Algebras
✍ Mirko Primc 📂 Article 📅 2000 🏛 Elsevier Science 🌐 English ⚖ 342 KB

Presented here is a construction of certain bases of basic representations for classical affine Lie algebras. The starting point is a ‫-ޚ‬grading ᒄ s ᒄ q ᒄ q ᒄ y1 0 1 of a classical Lie algebra ᒄ and the corresponding decomposition ᒄ s ᒄ q ᒄ q ˜˜ỹ 1 0 ᒄ of the affine Lie algebra ᒄ. By using a genera