We give an account of the construction of exterior differential systems based on the notion of tableaux over Lie algebras as developed in [33]. 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.

Differential systems associated with tableaux over Lie algebras / Musso, E; Nicolodi, Lorenzo. - STAMPA. - 144:(2008), pp. 497-514.

Differential systems associated with tableaux over Lie algebras

NICOLODI, Lorenzo
2008-01-01

Abstract

We give an account of the construction of exterior differential systems based on the notion of tableaux over Lie algebras as developed in [33]. 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.
2008
9780387738307
Differential systems associated with tableaux over Lie algebras / Musso, E; Nicolodi, Lorenzo. - STAMPA. - 144:(2008), pp. 497-514.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11381/1666446
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