Noncommutative Deformation Theory

Name: Noncommutative Deformation Theory
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Eivind Eriksen · Olav Arnfinn Laudal · Arvid Siqveland

2017년 9월 · CRC Press

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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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Eivind Eriksen is Associate Professor in Mathematics at BI Norwegian Business School. His research interests include noncommutative algebraic geometry, deformation theory, differential structures in algebraic geometry, and representation theory.

Olav Arnfinn Laudal is Professor Emeritus in Mathematics at the University of Oslo. He has researched algebraic geometry throughout his career, and is well known for his work in deformation theory.

Arvid Siqveland is Professor in Mathematics at the University College of Southeast Norway. His research interests include noncommutative algebraic geometry, deformation theory, algebraic geometry and representation theory.