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pro vyhledávání: '"Stoyanov, Ognyan S."'
Autor:
Stoyanov, Ognyan S.
We study the problem of classifying all Poisson-Lie structures on the group Gy of local diffeomorphisms of the real line R¹ which leave the origin fixed, as well as the extended group of diffeomorphisms G₀∞ ⊃ G∞ whose action on R¹ does not
Externí odkaz:
http://hdl.handle.net/10919/38421
http://scholar.lib.vt.edu/theses/available/etd-06062008-170612/
http://scholar.lib.vt.edu/theses/available/etd-06062008-170612/
Autor:
Stoyanov, Ognyan S.
We construct explicitly a class of coboundary Poisson-Lie structures on the group of formal diffeomorphisms of ${\Bbb R}^n$. Equivalently, these give rise to a class of coboundary triangular Lie bialgebra structures on the Lie algebra $W_n$ of formal
Externí odkaz:
http://arxiv.org/abs/math/0012042
Publikováno v:
J. Nonlinear Math. Phys. 6 (1999), no. 3, 344-354
A Poisson-Lie group acting by the coadjoint action on the dual of its Lie algebra induces on it a non-trivial class of quadratic Poisson structures extending the linear Poisson bracket on the coadjoint orbits.
Externí odkaz:
http://arxiv.org/abs/math/9902065
Publikováno v:
Letters in Mathematical Physics; May 1996, Vol. 37 Issue: 1 p1-9, 9p
