Mathematics – Symplectic Geometry
Scientific paper
2007-01-07
Lett. Math. Phys. 80 (2007), 183-197
Mathematics
Symplectic Geometry
13 pages, v.2 and 3: minor changes and two references added
Scientific paper
10.1007/s11005-007-0153-3
We derive a formula for the the modular class of a Lie algebroid with a regular twisted Poisson structure in terms of a canonical Lie algebroid representation of the image of the Poisson map. We use this formula to compute the modular classes of Lie algebras with a twisted triangular r-matrix. The special case of r-matrices associated to Frobenius Lie algebras is also studied.
Kosmann-Schwarzbach Yvette
Yakimov Milen
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