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Lie Triple Derivations for the Parabolic Subalgebras of gl(n,R)

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Advances in Swarm Intelligence (ICSI 2011)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 6729))

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Abstract

Let R be a commutative ring with identity, \(\mbox{gl}(n,R)\) the general linear Lie algebra over R, P a parabolic subalgebra of \(\mbox{gl}(n,R)\). In this paper, we give an explicit description of Lie triple derivations for the parabolic subalgebra P of \(\mbox{gl}(n,R)\).

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Author information

Authors and Affiliations

  1. College of Mathematics and Computer Science, Guangxi University for Nationalities, Nanning, 530006, Guangxi, China

    Jing Zhao & Lijing Fang

  2. School of Science, Shandong University of Technology, Zibo, 255049, Shandong, China

    Hailing Li

Authors
  1. Jing Zhao
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  2. Hailing Li
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  3. Lijing Fang
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Editor information

Editors and Affiliations

  1. Key Laboratory of Machine Perception, Department of Machine Intelligence, School of Electronics Engineering and Computer Science, Peking University, 100871, Beijing, China

    Ying Tan

  2. Department of Electrical and Electronic Engineering, Xi’an Jiaotong-Liverpool University, 215123, Suzhou, China

    Yuhui Shi

  3. Automation College, Chongqing University, 400030, Chongqing, China

    Yi Chai

  4. Institute of Computer Science and Technology, Chongqing University of Posts and Telecommunications, 400065, Chongqing, P.R. China

    Guoyin Wang

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© 2011 Springer-Verlag Berlin Heidelberg

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Zhao, J., Li, H., Fang, L. (2011). Lie Triple Derivations for the Parabolic Subalgebras of gl(n,R). In: Tan, Y., Shi, Y., Chai, Y., Wang, G. (eds) Advances in Swarm Intelligence. ICSI 2011. Lecture Notes in Computer Science, vol 6729. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-21524-7_56

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  • DOI: https://doi.org/10.1007/978-3-642-21524-7_56

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-21523-0

  • Online ISBN: 978-3-642-21524-7

  • eBook Packages: Computer ScienceComputer Science (R0)

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