Abstract
Let \(M\) be a right module over an associative \(k\)-algebra \(A\), where \(k\) is a field. We show how to compute noncommutative deformations of \(M\) in concrete terms, using an obstruction calculus based on free resolutions.
Keywords
- Tangent Space
- Order Approximation
- Free Resolution
- Residue Field
- Follow Diagram Commute
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Eivind, E.: An Introduction to Noncommutative Deformations of Modules, Noncommutative Algebra and Geometry, Lecture Notes in Pure and Applied Mathematics, vol. 243, pp. 90–125. CRC, Boca Raton. MR2189988 (2006m:16037) (2006)
Laudal, O.A.: Noncommutative deformations of modules, Homol. Homotopy Appl. 4(2), part 2, 357–396 (electronic), The Roos Festschrift volume, 2. MR1918517 (2003e:16005) (2002)
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Eriksen, E. (2014). Computing Noncommutative Deformations. In: Makhlouf, A., Paal, E., Silvestrov, S., Stolin, A. (eds) Algebra, Geometry and Mathematical Physics. Springer Proceedings in Mathematics & Statistics, vol 85. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-55361-5_17
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DOI: https://doi.org/10.1007/978-3-642-55361-5_17
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Online ISBN: 978-3-642-55361-5
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