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Lie 2-algebra moment maps in multisymplectic geometry
Differential Geometry and its Applications ( IF 0.6 ) Pub Date : 2020-04-20 , DOI: 10.1016/j.difgeo.2020.101631 Leyli Mammadova , Marco Zambon
中文翻译:
多辛几何中的李2代数矩图
更新日期:2020-04-20
Differential Geometry and its Applications ( IF 0.6 ) Pub Date : 2020-04-20 , DOI: 10.1016/j.difgeo.2020.101631 Leyli Mammadova , Marco Zambon
Consider a closed non-degenerate 3-form ω with an infinitesimal action of a Lie algebra . Motivated by the fact that the observables associated to ω form a Lie 2-algebra, we introduce homotopy moment maps defined on a Lie 2-algebra rather than just on the Lie algebra .
We formulate existence criteria and provide a construction for such homotopy moment maps, by characterizing them in terms of cohomology.
中文翻译:
多辛几何中的李2代数矩图
考虑具有李代数的极小作用的闭合非简并3形式ω。受与ω相关的可观观测物形成李2代数的事实的启发,我们引入了在李2代数而不是仅在李2代数上定义的同伦矩图。
我们制定了存在标准,并通过用同调性对其进行表征,为此类同伦矩图提供了一种构造。