Noncommutative Deformation Theory

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A01=Arvid Siqveland
A01=Eivind Eriksen
A01=Olav Arnfinn Laudal
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algebraic geometry
associative algebras
Author_Arvid Siqveland
Author_Eivind Eriksen
Author_Olav Arnfinn Laudal
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Beilinson theory
Category1=Non-Fiction
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Category=PBH
Cayley-smooth orders
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Division Algebra
eq_isMigrated=2
eq_nobargain
Finite Dimensional
Finite Dimensional Simple Modules
Finitely Generated
J And A
Language_English
Massey products
mathematical physics
Matric Algebra
Maximal Left Ideal
moduli space analysis
Noncommutative Algebra
Noncommutative Polynomial
obstruction theory in algebra
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Price_€100 and above
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representation theory
Serre Theorem
Simple Left
softlaunch
Tensor Algebra

Product details

  • ISBN 9781498796019
  • Weight: 612g
  • Dimensions: 178 x 254mm
  • Publication Date: 25 Apr 2017
  • Publisher: Taylor & Francis Inc
  • Publication City/Country: US
  • Product Form: Hardback
  • Language: English
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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.

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