Noncommutative Deformation Theory

Eivind Eriksen, Olav Arnfinn Laudal, Arvid Siqveland (Autoren)

Buch | Hardcover

242 Seiten

2017
Chapman & Hall/CRC (Verlag)
978-1-4987-9601-9 (ISBN)

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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.

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.

Classical Deformation Theory. Noncommutative Algebras and Simple Modules. Noncommutative Deformation Theory. The Noncommutative Phase Space. A Cosmological Toy Model. Moduli of Endomorphisms of Rank Three.

Erscheinungsdatum	29.06.2017
Reihe/Serie	Chapman & Hall/CRC Monographs and Research Notes in Mathematics
Zusatzinfo	5 Tables, black and white; 65 Line drawings, black and white; 65 Illustrations, black and white
Sprache	englisch
Maße	178 x 254 mm
Gewicht	628 g
Themenwelt	Mathematik / Informatik ► Mathematik ► Algebra
Themenwelt	Mathematik / Informatik ► Mathematik ► Arithmetik / Zahlentheorie
ISBN-10	1-4987-9601-X / 149879601X
ISBN-13	978-1-4987-9601-9 / 9781498796019
Zustand	Neuware