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On polynomial representations of strange Lie superalgebras of Q-type

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Abstract

In this paper, both canonical and noncanonical polynomial representations of Lie superalgebara of Q-type are investigated. It turns out that not all these representations are completely reducible. Moreover, the representation spaces has only two proper submodules when it is completely reducible, and has a unique composition series when it is not completely reducible.

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Authors and Affiliations

  1. College of Science, North China University of Science and Technology, Tangshan, 063009, P. R. China

    Cui Ling Luo

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  1. Cui Ling Luo
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Correspondence to Cui Ling Luo.

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Supported by NSFC (Grant No. 11501163)

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Luo, C.L. On polynomial representations of strange Lie superalgebras of Q-type. Acta. Math. Sin.-English Ser. 32, 559–570 (2016). https://doi.org/10.1007/s10114-016-5448-9

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