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Trudy Geometricheskogo Seminara, 1973, Volume 4, Pages 205–216
(Mi intg44)
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Involutory modules and involutory differential algebras
A. M. Vasil'ev
Abstract:
The paper deals with algebraic models of differential geometry. Prolongations of exterior differential algebras defined by exact sequences of free graduated modules over exterior algebra are considered. A graduated module is called involutory in a sense generalizing the use of this term by E. Cartan and Spencer.
Using the notion of involutory graduated module, a criterion is found for the existence of an infinite sequenre of prolongations of a given differential algebra.
Citation:
A. M. Vasil'ev, “Involutory modules and involutory differential algebras”, Tr. Geom. Sem., 4, VINITI, Moscow, 1973, 205–216
Linking options:
https://www.mathnet.ru/eng/intg44 https://www.mathnet.ru/eng/intg/v4/p205
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Abstract page: | 291 | Full-text PDF : | 106 |
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