We investigate the existence of homotopy comoment maps (comoments) for high-dimensional spheres seen as multisymplectic manifolds. Especially, we solve the existence problem for compact effective group actions on spheres and provide explicit constructions for such comoments in interesting particular cases.

中文翻译：

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球上紧Lie群的多辛行为

我们调查高维球体的同伦同音映射（同形映射）的存在，这些映射被视为多辛歧管。尤其是，我们解决了球上紧致有效群动作的存在性问题，并在有趣的特殊情况下为此类项提供了明确的构造。