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

Zhu Wei Yongzheng Zhang Qingcheng Zhang

https://izlik.org/JA34YB26MU

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

https://izlik.org/JA34YB26MU

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
IZ	https://izlik.org/JA34YB26MU
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. https://izlik.org/JA34YB26MU
AMA	1.Wei Z, Zhang Y, Zhang Q. Simple modules for some Cartan-type Lie superalgebras. Hacettepe Journal of Mathematics and Statistics. 2015;44(1):129-152. https://izlik.org/JA34YB26MU
Chicago	Wei, Zhu, Yongzheng Zhang, and Qingcheng Zhang. 2015. “Simple Modules for Some Cartan-Type Lie Superalgebras”. Hacettepe Journal of Mathematics and Statistics 44 (1): 129-52. https://izlik.org/JA34YB26MU.
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	[1]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, Feb. 2015, [Online]. Available: https://izlik.org/JA34YB26MU
ISNAD	Wei, Zhu - Zhang, Yongzheng - Zhang, Qingcheng. “Simple Modules for Some Cartan-Type Lie Superalgebras”. Hacettepe Journal of Mathematics and Statistics 44/1 (February 1, 2015): 129-152. https://izlik.org/JA34YB26MU.
JAMA	1.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, Feb. 2015, pp. 129-52, https://izlik.org/JA34YB26MU.
Vancouver	1.Wei Z, Zhang Y, Zhang Q. Simple modules for some Cartan-type Lie superalgebras. Hacettepe Journal of Mathematics and Statistics [Internet]. 2015 Feb. 1;44(1):129-52. Available from: https://izlik.org/JA34YB26MU