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 language | English |
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Pages (from-to) | 1911-1918 |
Number of pages | 8 |
Journal | Proceedings of the American Mathematical Society |
Volume | 136 |
Issue number | 6 |
DOIs | |
State | Published - Jun 2008 |