Simple modules for some Cartan-type Lie superalgebras

Zhu Wei; Yongzheng Zhang; Qingcheng Zhang

Research Article

Simple modules for some Cartan-type Lie superalgebras

Year 2015, Volume: 44 Issue: 1, 129 - 152, 01.02.2015

Abstract

The modules are induced from the finite-dimensional Cartan-type modular Lie superalgebras W, S, H and K over a field of prime characteristic, respectively. We give the Cartan subalgebras of these modular Lie
superalgebras. Using certain properties of the positive root vectors, we
discuss the simplicity of these modules.

Keywords

Cartan subalgebra , weight , maximal vector , simple module

References

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Year 2015, Volume: 44 Issue: 1, 129 - 152, 01.02.2015

Zhu Wei Yongzheng Zhang Qingcheng Zhang

Abstract

References

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There are 1 citations in total.

Details

Primary Language	English
Subjects	Mathematical Sciences
Journal Section	Research Article
Authors	Zhu Wei This is me Yongzheng Zhang This is me Qingcheng Zhang This is me
Publication Date	February 1, 2015
Published in Issue	Year 2015 Volume: 44 Issue: 1

Cite

APA	Wei, Z., Zhang, Y., & Zhang, Q. (2015). Simple modules for some Cartan-type Lie superalgebras. Hacettepe Journal of Mathematics and Statistics, 44(1), 129-152.
AMA	Wei Z, Zhang Y, Zhang Q. Simple modules for some Cartan-type Lie superalgebras. Hacettepe Journal of Mathematics and Statistics. February 2015;44(1):129-152.
Chicago	Wei, Zhu, Yongzheng Zhang, and Qingcheng Zhang. “Simple Modules for Some Cartan-Type Lie Superalgebras”. Hacettepe Journal of Mathematics and Statistics 44, no. 1 (February 2015): 129-52.
EndNote	Wei Z, Zhang Y, Zhang Q (February 1, 2015) Simple modules for some Cartan-type Lie superalgebras. Hacettepe Journal of Mathematics and Statistics 44 1 129–152.
IEEE	Z. Wei, Y. Zhang, and Q. Zhang, “Simple modules for some Cartan-type Lie superalgebras”, Hacettepe Journal of Mathematics and Statistics, vol. 44, no. 1, pp. 129–152, 2015.
ISNAD	Wei, Zhu et al. “Simple Modules for Some Cartan-Type Lie Superalgebras”. Hacettepe Journal of Mathematics and Statistics 44/1 (February2015), 129-152.
JAMA	Wei Z, Zhang Y, Zhang Q. Simple modules for some Cartan-type Lie superalgebras. Hacettepe Journal of Mathematics and Statistics. 2015;44:129–152.
MLA	Wei, Zhu et al. “Simple Modules for Some Cartan-Type Lie Superalgebras”. Hacettepe Journal of Mathematics and Statistics, vol. 44, no. 1, 2015, pp. 129-52.
Vancouver	Wei Z, Zhang Y, Zhang Q. Simple modules for some Cartan-type Lie superalgebras. Hacettepe Journal of Mathematics and Statistics. 2015;44(1):129-52.