Deforming maps for quantum algebras

Thomas Curtright, C. K. Zachos

Research output: Contribution to journalArticle

223 Citations (Scopus)

Abstract

We find explicit functionals that map SU(2) algebra generators to those of several quantum deformations of that algebra, as well as their SU(1, 1) analogs. We explain how any such quantized algebra can be mapped to any other, and how representations of any such algebra can be expressed as simple functions of SU(2) representations. We also discuss comultiplication rules, and explore quantum deformations of the Virasoro algebra.

Original languageEnglish (US)
Pages (from-to)237-244
Number of pages8
JournalPhysics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics
Volume243
Issue number3
DOIs
StatePublished - Jun 28 1990

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Deforming maps for quantum algebras. / Curtright, Thomas; Zachos, C. K.

In: Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics, Vol. 243, No. 3, 28.06.1990, p. 237-244.

Research output: Contribution to journalArticle

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