Journal of the Chungcheong Mathematical Society (충청수학회지)

The Chungcheong Mathematical Society (충청수학회)
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A NONDEGENERATE BILINEAR FORM INDUCED BY COLOR POISSON BIALGEBRA

  • Oh, Sei-Qwon (Department of Mathematics Chungnam National University) ;
  • Sim, Hanna (Department of Mathematics Chungnam National University)
  • Received : 2015.02.12
  • Accepted : 2015.04.13
  • Published : 2015.05.15
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Abstract

Let H be a color Poisson bialgebra. Here we find a canonical nondegenerate bilinear form $\mathfrak{g}(H){\times}\mathfrak{m/m^2}$, where $\mathfrak{g}(H)$ and $\mathfrak{m/m^2}$ are certain color Lie algebras induced by H.

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References

  1. I. Bakayoko and Sei-Qwon Oh, Color Hom-Lie bialgebras, submitted (2015).
  2. L. A. Lambe and D. E. Radford, Introduction to the quantum Yang-Baxter equation and quantum groups: An algebraic approach, Mathematics and Its Applications, vol. 423, Kluwer Academic Publishers, Dordrecht/Boston/London, 1997.
  3. S. Montgomery, Hopf algebras and their actions on rings, Conference Board of the Mathematical Sciences, no. 82, American Mathematical Society, Providence, Rhode Island, 1993.