On some models in differential geometry
Zapiski Nauchnykh Seminarov POMI, Differential geometry, Lie groups and mechanics. Part 13, Tome 205 (1993), pp. 122-153
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Some variants of axiomatics of algebras of “vector fields” in models of non-commutative differential geometry are considered. In the case of a commutative model (the De Rham complex) a matrix analogue of the Kadomtsev–Petviashvili Hierarchy is constructed. The corresponding Sato system is presented. The method of deformations of $D$-modules is used. Bibliography: 14 titles.