Covariance Properties of Reflection Equation Algebras : Particles and Fields

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概要

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• The reflection equations (RE) are a consistent extension of the Yang-Baxter equations (YBE) with an addition of one element, the so-called reflection matrix or K-matrix. For example, they describe the conditions for factorizable scattering on a half line just like the YBE give the conditions for factorizable scattering on an entire line. The YBE were generalized to define quadratic algebras, 'Yang-Baxter algebras' (YBA) which were used intensively for the discussion of quantum groups. Similarly, the RE define quadratic algebras, 'the reflection equation algebras' (REA), which enjoy various remarkable properties both new and inherited from the YBA. Here we focus on the various properties of the REA, in particular, the quantum group comodule properties, generation of a series of new solutions by composing known solutions, the extended REA and the central elements, etc.

• 理論物理学刊行会の論文
• 1993-03-25

著者

• SASAKI Ryu

  Yukawa Institute for Theoretical Physics, Kyoto University

• Sasaki R

  Kyoto Univ. Kyoto Jpn

• Sasaki Ryu

  Uji Research Center Yukawa Institute For Theoretical Physics Kyoto University:department Of Mathemat

• KULISH P.P

  Yukawa Institute for Theoretical Physics, Kyoto University

• Kulish P.p

  Yukawa Institute For Theoretical Physics Kyoto University

• SASAKI Ryu

  Uji Research Center, Yukawa Institute for Theoretical Physics Kyoto University:Department of Mathematical Sciences, University of Durham

• Kulish P.P.

  Yukawa Institute for Theoretical Physics, Kyoto University

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