### 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) |
---|---|

Pages (from-to) | 237-244 |

Number of pages | 8 |

Journal | Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics |

Volume | 243 |

Issue number | 3 |

DOIs | |

State | Published - Jun 28 1990 |

### Fingerprint

### ASJC Scopus subject areas

- Nuclear and High Energy Physics

### Cite this

*Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics*,

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

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

Research output: Contribution to journal › Article

*Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics*, vol. 243, no. 3, pp. 237-244. https://doi.org/10.1016/0370-2693(90)90845-W

}

TY - JOUR

T1 - Deforming maps for quantum algebras

AU - Curtright, Thomas

AU - Zachos, C. K.

PY - 1990/6/28

Y1 - 1990/6/28

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=0001202071&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0001202071&partnerID=8YFLogxK

U2 - 10.1016/0370-2693(90)90845-W

DO - 10.1016/0370-2693(90)90845-W

M3 - Article

VL - 243

SP - 237

EP - 244

JO - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics

JF - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics

SN - 0370-2693

IS - 3

ER -