Noncommutative Deformation Theory

Eivind Eriksen, Olav Arnfinn Laudal, Arvid Siqveland

CRC Press, Taylor & Francis Group, 2017 - Mathematics - 242 pages

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.

Bibliographic information

• Title: Noncommutative Deformation Theory; Chapman and Hall/CRC Monographs and Research Notes in Mathematics Series; Monographs and research notes in mathematics, ISSN 2372-9309
• Authors: Eivind Eriksen, Olav Arnfinn Laudal, Arvid Siqveland
• Edition: illustrated
• Publisher: CRC Press, Taylor & Francis Group, 2017
• ISBN: 149879601X, 9781498796019
• Length: 242 pages
• Subjects: Mathematics / Algebra / General; Mathematics / Functional Analysis; Mathematics / General; Mathematics / Geometry / Algebraic; Mathematics / Number Theory; Science / Physics / Mathematical & Computational