Differential central simple algebras and Picard–Vessiot representations
HTML articles powered by AMS MathViewer
- by Lourdes Juan and Andy R. Magid PDF
- Proc. Amer. Math. Soc. 136 (2008), 1911-1918 Request permission
References
- Hyman Bass and Amit Roy, Lectures on topics in algebraic $K$-theory, Tata Institute of Fundamental Research Lectures on Mathematics, No. 41, Tata Institute of Fundamental Research, Bombay, 1967. Notes by Amit Roy. MR 0279159
- Andy R. Magid, Lectures on differential Galois theory, University Lecture Series, vol. 7, American Mathematical Society, Providence, RI, 1994. MR 1301076, DOI 10.1090/ulect/007
- Andy R. Magid, The Picard-Vessiot antiderivative closure, J. Algebra 244 (2001), no. 1, 1–18. MR 1856528, DOI 10.1006/jabr.2001.8876
- Andy R. Magid, The Picard-Vessiot closure in differential Galois theory, Differential Galois theory (Będlewo, 2001) Banach Center Publ., vol. 58, Polish Acad. Sci. Inst. Math., Warsaw, 2002, pp. 151–164. MR 1972451, DOI 10.4064/bc58-0-11
- A. Roy and R. Sridharan, Derivations in Azumaya algebras, J. Math. Kyoto Univ. 7 (1967), 161–167. MR 222073, DOI 10.1215/kjm/1250524275
- David J. Saltman, Lectures on division algebras, CBMS Regional Conference Series in Mathematics, vol. 94, Published by American Mathematical Society, Providence, RI; on behalf of Conference Board of the Mathematical Sciences, Washington, DC, 1999. MR 1692654, DOI 10.1090/cbms/094
- Marius van der Put and Michael F. Singer, Galois theory of linear differential equations, Grundlehren der mathematischen Wissenschaften [Fundamental Principles of Mathematical Sciences], vol. 328, Springer-Verlag, Berlin, 2003. MR 1960772, DOI 10.1007/978-3-642-55750-7
Additional Information
- Lourdes Juan
- Affiliation: Department of Mathematics, Texas Tech University, Lubbock, Texas 79409
- Andy R. Magid
- Affiliation: Department of Mathematics, University of Oklahoma, Norman, Oklahoma 73019
- Received by editor(s): September 15, 2006
- Published electronically: February 13, 2008
- Communicated by: Martin Lorenz
- © Copyright 2008 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 136 (2008), 1911-1918
- MSC (2000): Primary 12H05; Secondary 16H05
- DOI: https://doi.org/10.1090/S0002-9939-08-09165-X
- MathSciNet review: 2383496