For any finite sequence w of Weyl group elements, the generalized double Bruhat cell G^{w,w} is a Poisson groupoid over the generalized Bruhat cell O^w.
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Local Poisson groupoids over mixed product Poisson structures and generalised double Bruhat cells
For any finite sequence w of Weyl group elements, the generalized double Bruhat cell G^{w,w} is a Poisson groupoid over the generalized Bruhat cell O^w.