Exotic Quantum Double,Its Universal R-matrix And Their Representations
نویسنده
چکیده
The exotic quantum double and its universal R-matrix for quantum Yang-Baxter equation are constructed in terms of Drinfeld’s quantum double theory.As a new quasi-triangular Hopf algebra, it is much different from those standard quantum doubles that are the q-deformations for Lie algebras or Lie superalgebras. By studying its representation theory,many-parameter representations of the exotic quantum double are obtained with an explicit example associated with Lie algebra A2 .The multi-parameter R-matrices for the quantum Yang-Baxter equation can result from the universal R-matrix of this exotic quantum double and these representattions. 1Permanet address:Physics Dpartment,Northeast Normal University, Changchun 130024,P.R.China
منابع مشابه
Quantum Double of Heisenberg-Weyl Algebra,its Universal R-Matrix and their Representations
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تاریخ انتشار 1992