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Abstract and Applied Analysis
Volume 2013 (2013), Article ID 803540, 7 pages
http://dx.doi.org/10.1155/2013/803540
Research Article

Post-Lie Algebra Structures on the Lie Algebra

Department of Mathematics, Heilongjiang University, Harbin 150080, China

Received 1 August 2013; Accepted 15 September 2013

Academic Editor: Teoman Özer

Copyright © 2013 Yuqiu Sheng and Xiaomin Tang. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Linked References

  1. B. Vallette, “Homology of generalized partition posets,” Journal of Pure and Applied Algebra, vol. 208, no. 2, pp. 699–725, 2007. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet
  2. D. Burde, “Left-symmetric algebras, or pre-Lie algebras in geometry and physics,” Central European Journal of Mathematics, vol. 4, no. 3, pp. 323–357, 2006. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet
  3. D. Burde, K. Dekimpe, and S. Deschamps, “LR-algebras,” in New Developments in Lie Theory and Geometry, vol. 491 of Contemporary Mathematics, pp. 125–140, American Mathematical Society, Providence, RI, USA, 2009. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet
  4. D. Burde and K. Dekimpe, “Post-Lie algebra structures and generalized derivations of semisimple Lie algebras,” Moscow Mathematical Journal, vol. 13, no. 1, pp. 1–18, 2013.
  5. D. Burde, K. Dekimpe, and K. Vercammen, “Affine actions on Lie groups and post-Lie algebra structures,” Linear Algebra and its Applications, vol. 437, no. 5, pp. 1250–1263, 2012. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet
  6. J.-L. Loday, “Generalized bialgebras and triples of operads,” Astérisque, vol. 320, 2008. View at Zentralblatt MATH · View at MathSciNet
  7. H. Z. Munthe-Kaas and A. Lundervold, “On post-lie algebras, lie—butcher series and moving frames,” Foundations of Computational Mathematics, vol. 13, no. 4, pp. 583–613, 2013. View at Publisher · View at Google Scholar · View at MathSciNet
  8. Y. Pan, Q. Liu, C. Bai, and L. Guo, “PostLie algebra structures on the Lie algebra SL (2,C),” Electronic Journal of Linear Algebra, vol. 23, pp. 180–197, 2012. View at Zentralblatt MATH · View at MathSciNet
  9. F. R. Gantmacher, The Theory of Matrices, vol. 2, Chelsea Publishing, New York, NY, USA, 1959. View at MathSciNet