Differential central simple algebras and picard-vessiot representations

Lourdes Juan, Andy R. Magid

Research output: Contribution to journalArticle

1 Scopus citations

Abstract

A differential central simple algebra, and in particular a differential matrix algebra, over a differential field K with constants C can be trivialized by a Picard-Vessiot (differential Galois) extension E.In the matrix algebra case, there is a correspondence between K-algebras trivialized by E and representations of the Galois group of E over K in PGLn(C), which can be interpreted as cocyles equivalent up to coboundaries.

Original languageEnglish
Pages (from-to)1911-1918
Number of pages8
JournalProceedings of the American Mathematical Society
Volume136
Issue number6
DOIs
StatePublished - Jun 2008

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