Abstract
The solvable n-Lie algebras are studied, we determined some properties of solvable n-Lie algebras, gave the definition of Borel n-subalgebra, and also got some results about Borel n-subalgebras.
This is a preview of subscription content, log in via an institution.
Buying options
Tax calculation will be finalised at checkout
Purchases are for personal use only
Learn about institutional subscriptionsPreview
Unable to display preview. Download preview PDF.
References
Nambu, Y.: Generalized Hamiltonian Mechanics. Phys. Rev. D7, 2405–2412 (1973)
Filippov, V.T.: N-Lie algebras. Sib. Mat. Zh. 26, 126–140 (1985)
Su, Y.C., Lu, C.H.: Introduction to the finite dimensional semisimple Lie algebra. Science Press, Beijing (2009)
Liu, J.B., Wang, X.M.: Linear algebra. Shanghai Jiaotong University Press, Shanghai (2012)
Kasymov, S.M.: On a Theory of n-Lie algebras. Algebra i Logika 26, 277–297 (1987)
Bai, R.P., Cheng, Y.: The Geometric Description of(n-1)-Semisimple n-Lie Algebras. Acta Math. Appl. 33, 1087–1094 (2010)
Cheng, Y.: Decomposition of ϕ-free n-Lie algebra. J. of Baoding University 24, 8–9 (2011)
Cheng, Y., Meng, X.J.: A Criteria of ϕ-free n-Lie Algebras. Math. in Practice and Theory 40, 209–213 (2010)
Bai, R.P., Zhang, Z.X.: The inner derivation algebras of (n+1)-dimensional n-Lie algebras. Comm. in Algebra 28, 2927–2934 (2000)
Saraiva, P.: Reduced n-Lie algebra. Comm. in Algebra 30, 2057–2074 (2002)
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2012 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Jianbo, L., Yanyan, Z., Yafeng, M., Wenying, C. (2012). On the Solvable n-Lie Algebras. In: Liu, B., Ma, M., Chang, J. (eds) Information Computing and Applications. ICICA 2012. Lecture Notes in Computer Science, vol 7473. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-34062-8_43
Download citation
DOI: https://doi.org/10.1007/978-3-642-34062-8_43
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-34061-1
Online ISBN: 978-3-642-34062-8
eBook Packages: Computer ScienceComputer Science (R0)