Noncommutative Deformation Theory

1st Edition

Eivind Eriksen, Olav Arnfinn Laudal, Arvid Siqveland

Chapman and Hall/CRC
Published April 25, 2017
Reference - 242 Pages - 65 B/W Illustrations
ISBN 9781498796019 - CAT# K30351
Series: Chapman & Hall/CRC Monographs and Research Notes in Mathematics


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Noncommutative Deformation Theory is aimed at mathematicians and physicists studying the local structure of moduli spaces in algebraic geometry. This book introduces a general theory of noncommutative deformations, with applications to the study of moduli spaces of representations of associative algebras and to quantum theory in physics. An essential part of this theory is the study of obstructions of liftings of representations using generalised (matric) Massey products. Suitable for researchers in algebraic geometry and mathematical physics interested in the workings of noncommutative algebraic geometry, it may also be useful for advanced graduate students in these fields.

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