35 citations · 105 across the 16 of their papers we have counts for
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math.DG1998★ 35 cited
Double Lie algebroids and the double of a Lie bialgebroid
K. C. H. Mackenzie
We define a general notion of abstract double Lie algebroid. We show (1) that the double Lie algebroid of a double Lie groupoid is a double Lie algebroid in this sense; (2) that th…
math.DG1998
On symplectic double groupoids and the duality of Poisson groupoids
Kirill C. H. Mackenzie
We prove that the cotangent of a double Lie groupoid S has itself a double groupoid structure with sides the duals of associated Lie algebroids, and double base the dual of the Lie…