Elsevier

Physics Letters B

Volume 243, Issue 3, 28 June 1990, Pages 237-244
Physics Letters B

Deforming maps for quantum algebras

https://doi.org/10.1016/0370-2693(90)90845-WGet rights and content

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.

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1

Work supported by the NSF grant PHY-87 03390.

2

Work supported by the US Department of Energy, Division of High Energy Physics, Contract W-31-109-ENG-38.

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