### 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 language | English (US) |
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Pages (from-to) | 237-244 |

Number of pages | 8 |

Journal | Physics Letters B |

Volume | 243 |

Issue number | 3 |

DOIs | |

State | Published - Jun 28 1990 |

### ASJC Scopus subject areas

- Nuclear and High Energy Physics

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## Cite this

Curtright, T. L., & Zachos, C. K. (1990). Deforming maps for quantum algebras.

*Physics Letters B*,*243*(3), 237-244. https://doi.org/10.1016/0370-2693(90)90845-W