TY - JOUR

T1 - Deforming maps for quantum algebras

AU - Curtright, T. L.

AU - Zachos, C. K.

N1 - Funding Information:
Work supported by the NSF grant PHY-87 03390.
Funding Information:
2 Work supported by the US Department of Energy, Division of High Energy Physics, Contract W-31-109-ENG-38.

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.

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

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

M3 - Article

AN - SCOPUS:0001202071

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 -