Rolling Simplexes and Their Commensurability. III (Capelli Identities and Their Application to Differential Algebras)

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

doi:10.1007/s10958-017-3229-3

Rolling Simplexes and Their Commensurability. III (Capelli Identities and Their Application to Differential Algebras)

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

Moscow State University

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)	315-325
Number of pages	11
Journal	Journal of Mathematical Sciences
Volume	221
Issue number	3
DOIs	https://doi.org/10.1007/s10958-017-3229-3
Publication status	Published - 1 Mar 2017
Externally published	Yes

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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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