Document Zbl 1200.53074

The conformal invariance of the Poisson-Lie group \(SU(2)\) by dressing transformation. (English) Zbl 1200.53074

Afr. J. Math. Phys. 8, No. 1, 85-90, Article No. 1009 (2010).

Summary: We show the conformal invariance of the Poisson-Lie group \(SU(2)\) by dressing transformations. This construction gives in particular a Poisson cohomology class of the group \(SU(2)\).

MSC:

53D17

Poisson manifolds; Poisson groupoids and algebroids

Keywords:

Poisson-Lie group; dressing transformations; Poisson cohomology class

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