A characterization of coboundary Poisson Lie groups and Hopf algebras
Zakrzewski, Stanisław
Banach Center Publications, Tome 38 (1997), p. 273-278 / Harvested from The Polish Digital Mathematics Library
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We show that a Poisson Lie group (G,π) is coboundary if and only if the natural action of G×G on M=G is a Poisson action for an appropriate Poisson structure on M (the structure turns out to be the well known π+). We analyze the same condition in the context of Hopf algebras. A quantum analogue of the π+ structure on SU(N) is described in terms of generators and relations as an example.

Publié le : 1997-01-01
EUDML-ID : urn:eudml:doc:252240 
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     author = {Zakrzewski, Stanis\l aw},
     title = {A characterization of coboundary Poisson Lie groups and Hopf algebras},
     journal = {Banach Center Publications},
     volume = {38},
     year = {1997},
     pages = {273-278},
     zbl = {0893.22011},
     language = {en},
     url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-bcpv40z1p273bwm}
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Zakrzewski, Stanisław. A characterization of coboundary Poisson Lie groups and Hopf algebras. Banach Center Publications, Tome 38 (1997) pp. 273-278. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-bcpv40z1p273bwm/

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