Highest weight modules of the double affine Lie algebra sl(2) are studied under a new triangular decomposition. Singular vectors of Verma modules are determined using a similar condition with horizontal affine Lie subalgebras, and highest weight modules are described under the condition c(1) > 0 and c(2) = 0.
机构:
Henan Univ, Sch Math & Stat, Kaifeng 475004, Peoples R ChinaHenan Univ, Sch Math & Stat, Kaifeng 475004, Peoples R China
Niu, Mengnan
Liu, Genqiang
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机构:
Henan Univ, Sch Math & Stat, Kaifeng 475004, Peoples R China
Henan Univ, Inst Contemporary Math, Kaifeng 475004, Peoples R ChinaHenan Univ, Sch Math & Stat, Kaifeng 475004, Peoples R China
机构:
Department of Mathematics, Weizmann Institute of Science
Inst. (UMR 7586) de Mathematiques, Univ. Pierre et Marie Curie, F75013 Paris Cedex, 175 rue du ChevaleretDepartment of Mathematics, Weizmann Institute of Science