Higher Omni-Lie Algebroids
Journal of Lie theory, Tome 29 (2019) no. 3, pp. 881-899
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We propose a definition of a "higher" version of the omni-Lie algebroid and study its isotropic and involutive subbundles. Our higher omni-Lie algebroid is to (multi)contact and related geometries what the higher generalized tangent bundle of Zambon and Bi/Sheng is to (multi)symplectic and related geometries.
Classification : 17B66, 53D18
Mots-clés : Vector bundle form, higher omni-Lie algebroid, Dirac structure, generalized geometry
@article{JLT_2019_29_3_JLT_2019_29_3_a11,
     author = {Y. Bi and L. Vitagliano and T. Zhang},
     title = {Higher {Omni-Lie} {Algebroids}},
     journal = {Journal of Lie theory},
     pages = {881--899},
     year = {2019},
     volume = {29},
     number = {3},
     url = {http://geodesic.mathdoc.fr/item/JLT_2019_29_3_JLT_2019_29_3_a11/}
}
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Y. Bi; L. Vitagliano; T. Zhang. Higher Omni-Lie Algebroids. Journal of Lie theory, Tome 29 (2019) no. 3, pp. 881-899. http://geodesic.mathdoc.fr/item/JLT_2019_29_3_JLT_2019_29_3_a11/