A characterization of coboundary Poisson Lie groups and Hopf algebras

• Autorzy: Stanisław Zakrzewski
• Języki publikacji: EN

Abstrakty

EN

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.

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Banach Center Publications
• Rocznik: 1997
• Tom: 40
• Numer: 1
• Strony: 273-278

Daty

wydano

1997

Twórcy

autor

Stanisław Zakrzewski

• Department of Mathematical Methods in Physics, University of Warsaw, Hoża 74, 00-682 Warszawa, Poland

Bibliografia

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