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Biparametric Irreducible Representations of Braid Groups

Biparametric Irreducible Representations of Braid Groups
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摘要 A series of irreducible representations of braid group Bn are given.By means of a generalized Conway relation (gi-q)(gi+p) = 0,a complete set of operators H(i) are constructed.With the eigenvectors of H(i) as representation bases,the biparametric irreducible representations of Bn are obtained by the help of Yang diagrams. A series of irreducible representations of braid group Bn are given.By means of a generalized Conway relation (gi-q)(gi+p) = 0,a complete set of operators H(i) are constructed.With the eigenvectors of H(i) as representation bases,the biparametric irreducible representations of Bn are obtained by the help of Yang diagrams.
机构地区 Department of Physics
出处 《Science China Mathematics》 SCIE 1994年第11期1370-1377,共8页 中国科学:数学(英文版)
基金 Project supported by the National Natural Science Foundation of China.
关键词 BRAID GROUP IRREDUCIBLE REPRESENTATION Yang diagram. braid group,irreducible representation,Yang diagram.
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