대한수학회논문집 (Communications of the Korean Mathematical Society)

  • 제22권3호
  • /
  • Pages.353-357
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  • 2007
  • /
  • 1225-1763(pISSN)
  • /
  • 2234-3024(eISSN)
대한수학회 (Korean Mathematical Society)
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POISSON BRACKET DETERMINED BY A COBRACKET

  • Oh, Sei-Qwon (DEPARTMENT OF MATHEMATICS CHUNGNAM NATIONAL UNIVERSITY) ;
  • Shin, Yong-Yeon (DEPARTMENT OF MATHEMATICS CHUNGNAM NATIONAL UNIVERSITY)
  • 발행 : 2007.07.31
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초록

Let $(g,\;\delta)$ be a Lie bialgebra. Here we give an explicit formula for the Poisson bracket on a subalgebra of $U(g)^{\circ}$ induced by the given cobracket $\delta$.

키워드

참고문헌

  1. K. A. Brown and K. R. Goodearl, Lectures on algebraic quantum groups, Advanced courses in mathematics-CRM Barcelona, Birkhauser Verlag, Basel-Boston-Berlin, 2002
  2. V. Chari and A. Pressley, A guide to quantum groups, Cambridge University Press, Providence, 1994
  3. T. J. Hodges, T. Levasseur, and M. Toro, Algebraic structure of multi-parameter quantum groups, Advances in Math. 126 (1997), 52-92 https://doi.org/10.1006/aima.1996.1612
  4. A. Joseph, Quantum groups and their primitive ideals, A series of modern surveys in mathematics, vol. 3. Folge-Band 29, Springer-Verlag, 1995