Noncommutative Deformation Theory

ISBN: 9781498796019 出版年：2017 页码：259 Eriksen, Eivind Laudal, Olav Arnfinn Siqveland, Arvid CRC Press

Noncommutative Deformation Theoryis 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.