Noncommutative Deformation Theory

Eivind Eriksen, Olav Arnfinn Laudal, Arvid Siqveland

April 25, 2017 by Chapman and Hall/CRC
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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Features

  • Requires only a basic knowledge of commutative algebra and algebraic geometry
  • Written in a user-friendly style
  • Makes possible the explicit definition of a noncommutative scheme without special localization projects
  • Adds new theoretical information to existing constructions
  • Co-written by Olav Arnfinn Laudal, pioneer of research on noncommutative deformations of modules
  • Summary

    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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