Quantum Affine Transformation Group and Covariant Differential Calculus : General and Mathematical Physics

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概要

• 論文の詳細を見る

• We discuss quantum deformation of the affine transformation group and its Lie algebra in one-dimensional space. It is shown that the quantum algebra has a non-cocommutative Hopf algebra structure, simple realizations and quantum tensor operators. It is also shown that the quantum algera does not have a universal R-matrix. We present a new method to construct the quantum deformation of the affine transformation group. The method is based on the quantum algebra and the adjoint representation. Furthermore, we construct a differential calculus which is covariant with respect to the action of the quantum affine transformation group.

• 理論物理学刊行会の論文
• 1994-06-25

著者

• Aizawa Naruhiko

  Research Center For Nuclear Physics Osaka University

• SATO Haru-Tada

  Institute of Physics, College of General Education, Osaka University

• Sato Haru-tada

  Institute Of Physics College Of General Education Osaka University

• AIZAWA Nobuyuki

  Department of Nuclear Engineering, Kyoto University

• AIZAWA Nobuyuki

  Department of Nuclesr Engineering, Kyoto University

• Sato Haru-Tada

  Institut fur Theoretische Physik Universitat Heidelberg

• AIZAWA Naruhiko

  Department of Applied Mathematics,Osaka Women's University

• AIZAWA Naruhiko

  Research Center for Nuclear Physics, Osaka University

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