EN
Simple modules for some Cartan-type Lie superalgebras
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
References
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Details
Primary Language
English
Subjects
Mathematical Sciences
Journal Section
Research Article
Publication Date
February 1, 2015
Submission Date
January 1, 2014
Acceptance Date
-
Published in Issue
Year 2015 Volume: 44 Number: 1
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.Zhu Wei, Yongzheng Zhang, Qingcheng Zhang. 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