Noncommutative Deformation Theory

Nonfiction, Science & Nature, Mathematics, Number Theory, Algebra
Cover of the book Noncommutative Deformation Theory by Eivind Eriksen, Olav Arnfinn Laudal, Arvid Siqveland, CRC Press
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Author: Eivind Eriksen, Olav Arnfinn Laudal, Arvid Siqveland ISBN: 9781351652124
Publisher: CRC Press Publication: September 19, 2017
Imprint: Chapman and Hall/CRC Language: English
Author: Eivind Eriksen, Olav Arnfinn Laudal, Arvid Siqveland
ISBN: 9781351652124
Publisher: CRC Press
Publication: September 19, 2017
Imprint: Chapman and Hall/CRC
Language: English

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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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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