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arXiv · 0705.2715

Differential systems associated with tableaux over Lie algebras

Emilio Musso·Lorenzo Nicolodi
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Abstract

We give an account of the construction of exterior differential systems based on the notion of tableaux over Lie algebras as developed in [Comm. Anal. Geom 14 (2006), 475-496; math.DG/0412169]. The definition of a tableau over a Lie algebra is revisited and extended in the light of the formalism of the Spencer cohomology; the question of involutiveness for the associated systems and their prolongations is addressed; examples are discussed.

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Emilio Musso, Lorenzo Nicolodi. 2007-05-18. Differential systems associated with tableaux over Lie algebras. https://arxiv.org/abs/0705.2715

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