Quantum double structure for Heisenberg-Weyl algebra without q-deformation

DOI10.1088/0305-4470/26/23/041zbMATH Open0821.17018arXivhep-th/9301096OpenAlexW2064288294MaRDI QIDQ4836532

Mo-Lin Ge, Chang-Pu Sun

Publication date: 19 June 1995

Published in: Journal of Physics A: Mathematical and General (Search for Journal in Brave)

Abstract: In this paper a new quasi-triangular Hopf algebra as the quantum double of the Heisenberg-Weyl algebra is presented.Its universal R-matrix is built and the corresponding representation theory are studied with the explict construction for the representations of this quantum double. ewpage

Full work available at URL: https://arxiv.org/abs/hep-th/9301096

zbMATH Keywords

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Mathematics Subject Classification ID

Quantum groups (quantized enveloping algebras) and related deformations (17B37) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20)

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