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Modular Classes of Regular Twisted Poisson Structures on Lie Algebroids |
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| Authors: | Yvette Kosmann-Schwarzbach Milen Yakimov |
| Institution: | (1) Centre de Mathématiques Laurent Schwartz, école Polytechnique, 91128 Palaiseau, France;(2) Department of Mathematics, University of California, Santa Barbara, CA 93106, USA |
| Abstract: | We derive a formula for 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. |
| Keywords: | Mathematics Subject Classification (2000)" target="_blank">Mathematics Subject Classification (2000) Primary 53D17 Secondary 58H05 Secondary 17B62 |
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