首页|Finite dimensional irreducible representations of Lie superalgebra D(2,1;α)
Finite dimensional irreducible representations of Lie superalgebra D(2,1;α)
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This paper focuses on the finite dimensional irreducible representations of Lie superalgebra D(2,1;α).We explicitly construct the finite dimensional representations of the superalgebra D(2,1;α)by using the shift operator and differential operator representations.Unlike ordinary Lie algebra representation,there are typical and atypical representations for most superalgebras.Therefore,its typical and atypical representation conditions are also given.Our results are expected to be useful for the construction of primary fields of the corresponding current superalgebra of D(2,1;α).
superalgebrarepresentationsshift operatorconformal field theory
陈曦、杨文力、丁祥茂、张耀中
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College of Intelligent Systems Science and Engineering,Hubei Minzu University 445000,China
Institute of Modern Physics,Northwest University,Xian 710069,China
Institute of Applied Mathematics,Academy of Mathematics and Systems Science,Chinese Academy of Sciences,Beijing 100080,China
School of Mathematics and Physics,The University of Queensland,Brisbane,QLD 4072,Australia
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国家自然科学基金Australian Research Council Discovery Project国家自然科学基金
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