Noncommutative deformation theory

by Eriksen, Eivind

Type Book

Rate 0.0 /5

Details

Files

Reviews

Download

Title Statements

Full title :Noncommutative deformation theory / Eivind Eriksen, Olav Arnfinn Laudal, Arvid Siqveland.

Edition Statements

Publication Date:©20

Publication Statements

Publisher(s):CRC Press
Place of Publication:Boca Raton
Language:eng
Publication Date:©20

The Physical Object

Description:1 online resource.

Edition Identifiers

ISBN:9781498796026, 1498796028, 1315156059, 9781315156057, 1351652125, 9781351652124
oclc:on1308586327
LC Classification:QA564
Dewey Decimal:516.3/5

Cover; Half Title; Title Page; Copyright Page; Contents; Introduction; How to Read This Book; 1 Classical Deformation Theory; 1.1 General principles; 1.2 Formal deformations and infinitesimal deformations; 1.3 Functors of Artin rings; 1.3.1 Tangent spaces; 1.3.2 Obstruction calculus; 1.4 Deformations of associative algebras; 1.4.1 Tangent space and obstruction calculus; 1.4.2 Examples; 1.5 Deformations of modules; 1.5.1 Tangent space and obstruction calculus; 1.5.2 Examples; 2 Noncommutative Algebras and Simple Modules; 2.1 Noncommutative algebras; 2.2 Artin-Wedderburn theory.

2.3 Simple modules and the Jacobson radical2.4 The classical theorems of Burnside, Wedderburn, and Malcev; 2.5 Finite dimensional simple modules; 3 Noncommutative Deformation Theory; 3.1 Noncommutative deformation functors; 3.1.1 Flatness in Abelian categories; 3.1.2 Commutative deformation functors; 3.1.3 Noncommutative deformation functors; 3.2 Structure of noncommutative deformation functors; 3.2.1 Functors of noncommutative Artin rings; 3.2.2 Algebraizations; 3.2.3 Tangent spaces; 3.2.4 Obstruction calculus; 3.2.5 Swarms; 3.2.6 Relations with commutative deformation functors.

3.3 Examples of noncommuta…

Subjects

Géométrie algébrique Geometry, Algebraic Mathematical physics MATHEMATICS -- Geometry Perturbation (Mathematics) Perturbation (Mathématiques) Physique mathématique