The two-dimensional quantum Euclidean algebra

1992/02/01 by Peter Schupp, Paul Watts, Bruno Zumino · 4 citations
Mathematics · Physics and Astronomy · #Advanced Topics in Algebra #Algebraic structures and combinatorial models #Nonlinear Waves and Solitons #hep-th

paper · pdf · doi:10.1007/bf00402677

published as Lett.Math.Phys. 24 (1992) 141-147 · 8 pages, LBL-31711 and UCB-PTH-92/05

openalex publication_date 1992/02/01 · arxiv created 1992/06/04 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

The algebra dual to Woronowicz's deformation of the 2-\-di\-men\-sion\-al Euclidean group is constructed. The same algebra is obtained from SU_q(2) via contraction on both the group and algebra levels.

Cited by

• QuantumE(2) groups and Lie bialgebra structures
• Kappa-contraction fromSU q (2) toE κ (2)
• Exponential mapping for non-semisimple quantum groups
• GAUGE FIELD THEORY ON THE Eq(2)-COVARIANT PLANE