Symplectic Groupoids Related to Poisson--Lie Groups
Informatics and Automation, 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{TRSPY_2004_246_a3,
author = {A. I. Bondal},
title = {Symplectic {Groupoids} {Related} to {Poisson--Lie} {Groups}},
journal = {Informatics and Automation},
pages = {43--63},
publisher = {mathdoc},
volume = {246},
year = {2004},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/TRSPY_2004_246_a3/}
}
A. I. Bondal. Symplectic Groupoids Related to Poisson--Lie Groups. Informatics and Automation, Algebraic geometry: Methods, relations, and applications, Tome 246 (2004), pp. 43-63. http://geodesic.mathdoc.fr/item/TRSPY_2004_246_a3/