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On Subalgebras of the Centerless Generalized Virasoro Algebra

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Future Wireless Networks and Information Systems

Part of the book series: Lecture Notes in Electrical Engineering ((LNEE,volume 143))

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Abstract

In this paper, \(\overline{vir}[G]=C-{\it span}\{d_i|i\in{G}=Z+Z\sqrt{2}\}\) with bracket [ , ] given by [d i ,d j ] = (j − i)d i + j ,i,j ∈ G. This is a Lie algebra. We will obtain some simple subalgebrs of \(\overline{vir}[G]\) and discuss some isomorphisms between these subalgebras.

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References

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Authors and Affiliations

  1. College of Mathematics, Qing Dao University, Qingdao, 266071, P.R. China

    Qi Xianlong, Wang Xiandong & Sun Nan

Authors
  1. Qi Xianlong
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  2. Wang Xiandong
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  3. Sun Nan
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Corresponding author

Correspondence to Qi Xianlong .

Editor information

Editors and Affiliations

  1. , Wuhan Optical Valley Software Park, Wuhan University, Wuhan, 430073, China, People's Republic

    Ying Zhang

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© 2012 Springer-Verlag GmbH Berlin Heidelberg

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Xianlong, Q., Xiandong, W., Nan, S. (2012). On Subalgebras of the Centerless Generalized Virasoro Algebra. In: Zhang, Y. (eds) Future Wireless Networks and Information Systems. Lecture Notes in Electrical Engineering, vol 143. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-27323-0_42

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  • DOI: https://doi.org/10.1007/978-3-642-27323-0_42

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-27322-3

  • Online ISBN: 978-3-642-27323-0

  • eBook Packages: EngineeringEngineering (R0)

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