A class of irreducible modules for the extended affne Lie algebra ■ 被引量：1

A class of irreducible modules for the extended affne Lie algebra ■

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摘要 We construct a class of modules for extended affine Lie algebra gl l（Cq） by using the free fields. A necessary and sufficient condition is given for those modules being irreducible. We construct a class of modules for extended affne Lie algebra ■ by using the free fields. A necessary and sufficient condition is given for those modules being irreducible.

作者 ZENG ZiTing

机构地区 School of Mathematical Science

出处《Science China Mathematics》 SCIE 2011年第6期1089-1099,共11页 中国科学：数学（英文版）

基金 supported by National Natural Science Foundation of China (Grant Nos.10726014, 10801010)

关键词 extended affine Lie algebra free fields irreducible modules 仿射李代数类模块不可约 GL 充分必要条件

分类号 O152.5 [理学—基础数学] TP311 [自动化与计算机技术—计算机软件与理论]

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引证文献1

1Jin CHENG,Zi Ting ZENG.Irreducible Wakimoto-like Modules for the Lie Superalgebra D(2,1;α)[J].Acta Mathematica Sinica,English Series,2018,34(10):1578-1588. 被引量：1

二级引证文献1

1Jin CHENG,Yun GAO.Generalized P(N)-graded Lie superalgebras[J].Frontiers of Mathematics in China,2021,16(3):647-687.

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Science China Mathematics

2011年第6期

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A class of irreducible modules for the extended affne Lie algebra ■ 被引量：1

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