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Modules of Lie Algebra G(A)

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Information Computing and Applications (ICICA 2012)

Part of the book series: Lecture Notes in Computer Science ((LNISA,volume 7473))

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Abstract

Studied the structure and representations of Lie algebra G(A), given a non-degenerate symmetric invariant bilinear form on G(A), got the classification of the highest (lowest) weight modules on G(A), and determined the maximal proper submodules when the highest (lowest) weight modules are reducible.

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References

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Author information

Authors and Affiliations

  1. School of Computer Science and Telecommunication Engineering, Northeastern University at Qinhuangdao, 066004, Qinhuangdao, China

    Zhang Yanyan

  2. School of Mathematics and Statistics, Northeastern University at Qinhuangdao, 066004, Qinhuangdao, China

    Liu Jianbo, Tao Wen & Zhu Qin

Authors
  1. Zhang Yanyan
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  2. Liu Jianbo
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  3. Tao Wen
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  4. Zhu Qin
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Editor information

Editors and Affiliations

  1. College of Science, Hebei United University, 063000, Tangshan, Hebei, China

    Baoxiang Liu

  2. Nanyang Technological University, Singapore

    Maode Ma

  3. College of Science, Hebei United University, 063009, Tangshan, Hebei, China

    Jincai Chang

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© 2012 Springer-Verlag Berlin Heidelberg

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Yanyan, Z., Jianbo, L., Wen, T., Qin, Z. (2012). Modules of Lie Algebra G(A). In: Liu, B., Ma, M., Chang, J. (eds) Information Computing and Applications. ICICA 2012. Lecture Notes in Computer Science, vol 7473. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-34062-8_44

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  • DOI: https://doi.org/10.1007/978-3-642-34062-8_44

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-34061-1

  • Online ISBN: 978-3-642-34062-8

  • eBook Packages: Computer ScienceComputer Science (R0)

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