Geodesic
Symplectic Groupoids Related to Poisson--Lie Groups
Trudy Matematicheskogo Instituta imeni V.A. Steklova, Algebraic geometry: Methods, relations, and applications, Tome 246 (2004), pp. 43-63

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A new interpretation of a groupoid of triangular bilinear forms is given. Namely, we construct a symplectic groupoid related to any given Poisson–Lie group with an appropriate involution. This allows one to construct a symplectic groupoid dual to the groupoid of triangular forms. 
@article{TM_2004_246_a3,
     author = {A. I. Bondal},
     title = {Symplectic {Groupoids} {Related} to {Poisson--Lie} {Groups}},
     journal = {Trudy Matematicheskogo Instituta imeni V.A. Steklova},
     pages = {43--63},
     publisher = {mathdoc},
     volume = {246},
     year = {2004},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TM_2004_246_a3/}
}
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A. I. Bondal. Symplectic Groupoids Related to Poisson--Lie Groups. Trudy Matematicheskogo Instituta imeni V.A. Steklova, Algebraic geometry: Methods, relations, and applications, Tome 246 (2004), pp. 43-63. http://geodesic.mathdoc.fr/item/TM_2004_246_a3/