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Lie Color and Hom-Lie Algebras of Witt Type and Their Central Extensions

In: Generalized Lie Theory in Mathematics, Physics and Beyond

Author

Listed:
  • Gunnar Sigurdsson

    (Royal Institute of Technology, AlbaNova University Center, Department of Theoretical Physics, School of Engineering Sciences)

  • Sergei Silvestrov

    (Lund Institute of Technology, Lund University, Centre for Mathematical Sciences, Division of Mathematics)

Abstract

In this article, two classes of Г-graded Witt-type algebras, Lie color and hom-Lie algebras of Witt type, are considered. These algebras can be seen as generalizations of Lie algebras of Witt type. One-dimensional central extensions of Lie color and hom-Lie algebras of Witt type are investigated.

Suggested Citation

  • Gunnar Sigurdsson & Sergei Silvestrov, 2009. "Lie Color and Hom-Lie Algebras of Witt Type and Their Central Extensions," Springer Books, in: Sergei Silvestrov & Eugen Paal & Viktor Abramov & Alexander Stolin (ed.), Generalized Lie Theory in Mathematics, Physics and Beyond, chapter 21, pages 247-255, Springer.
    • Handle: RePEc:spr:sprchp:978-3-540-85332-9_21
    DOI: 10.1007/978-3-540-85332-9_21
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