Rolling simplexes and their commensurability. III (Capelli identities and their application to differential algebras)

O. V. Gerasimova; Yu P. Razmyslov; G. A. Pogudin

Rolling simplexes and their commensurability. III (Capelli identities and their application to differential algebras)

O. V. Gerasimova, Yu P. Razmyslov, G. A. Pogudin

Research output: Contribution to journal › Article › peer-review

Abstract

In the present paper, we describe an algebraic point of view on the notion of the solution of a system of algebraic differential equations. We apply Capelli’s rank theorem to prime and simple differential algebras.

Original language	English
Pages (from-to)	7-24
Number of pages	18
Journal	Fundamental and Applied Mathematics
Volume	19
Issue number	6
Publication status	Published - 1 Jan 2014

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title = "Rolling simplexes and their commensurability. III (Capelli identities and their application to differential algebras)",

abstract = "In the present paper, we describe an algebraic point of view on the notion of the solution of a system of algebraic differential equations. We apply Capelli{\textquoteright}s rank theorem to prime and simple differential algebras.",

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Rolling simplexes and their commensurability. III (Capelli identities and their application to differential algebras)

Abstract

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