Modular classes of regular twisted Poisson structures on Lie algebroids

Details Modular classes of regular twisted Poisson structures on Lie algebroids Modular classes of regular twisted Poisson structures on Lie algebroids

2007-01-07

arxiv.org/abs/math/0701209v3

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.

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