논문KCI 등재
LIE BIALGEBRAS ARISING FROM POISSON BIALGEBRAS
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초록
It gives a method to obtain a natural Lie bialgebra from a Poisson bialgebra by an algebraic point of view. Let g be a coboundary Lie bialgebra associated to a Poission Lie group G. As an application,we obtain a Lie bialgebra from a sub-Poisson bialgebra of the restricted dual of the universal enveloping algebra U(g).
Abstract
It gives a method to obtain a natural Lie bialgebra from a Poisson bialgebra by an algebraic point of view. Let g be a coboundary Lie bialgebra associated to a Poission Lie group G. As an application,we obtain a Lie bialgebra from a sub-Poisson bialgebra of the restricted dual of the universal enveloping algebra U(g).
참고문헌 (10)
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- T. J. Hodges, "Algebraic structure of multiparameter quantum groups", Adv. Math., 126(1), pp.52~92 (1997)
- J. Hong, "Introduction to Quantum Groups and Crystal Bases", Graduate Studies in Mathematics, 42 (2002), American Mathematical Society
- J. E. Humphreys, "Linear Algebraic Groups", Graduate Texts in Mathematics, 21 (1987), Springer-Verlag Inc.
- J. C. Jantzen, "Lectures on Quantum Groups", Graduate Studies in Mathematics, 6 (1996), American Mathematical Society
- A. Joseph, "Quantum Groups and Their Primitive Ideals", A series of modern surveys in mathematics, 3 (1995), Springer-Verlag
- L. I. Korogodski, "Algebras of Functions on Quantum Groups. Part I", Mathematical Surveys and Monographs, 56 (1998), American Mathematical Society
- L. A. Lambe, "Introduction to the Quantum Yang-Baxter Equation and Quantum Groups: an algebraic approach" (1997), Kluwer Academic Publishers
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