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 |
|---|---|
| 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 |
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Cite this
Juan, L., & Magid, A. R. (2008). Differential central simple algebras and picard-vessiot representations. Proceedings of the American Mathematical Society, 136(6), 1911-1918. https://doi.org/10.1090/S0002-9939-08-09165-X