Deformation Theory of Algebras and Structures and Applications

Deformation Theory of Algebras and Structures and Applications
Author :
Publisher : Springer Science & Business Media
Total Pages : 1024
Release :
ISBN-10 : 9789400930575
ISBN-13 : 9400930577
Rating : 4/5 (577 Downloads)

Book Synopsis Deformation Theory of Algebras and Structures and Applications by : Michiel Hazewinkel

Download or read book Deformation Theory of Algebras and Structures and Applications written by Michiel Hazewinkel and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 1024 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume is a result of a meeting which took place in June 1986 at 'll Ciocco" in Italy entitled 'Deformation theory of algebras and structures and applications'. It appears somewhat later than is perhaps desirable for a volume resulting from a summer school. In return it contains a good many results which were not yet available at the time of the meeting. In particular it is now abundantly clear that the Deformation theory of algebras is indeed central to the whole philosophy of deformations/perturbations/stability. This is one of the main results of the 254 page paper below (practically a book in itself) by Gerstenhaber and Shack entitled "Algebraic cohomology and defor mation theory". Two of the main philosphical-methodological pillars on which deformation theory rests are the fol lowing • (Pure) To study a highly complicated object, it is fruitful to study the ways in which it can arise as a limit of a family of simpler objects: "the unraveling of complicated structures" . • (Applied) If a mathematical model is to be applied to the real world there will usually be such things as coefficients which are imperfectly known. Thus it is important to know how the behaviour of a model changes as it is perturbed (deformed).


Deformation Theory of Algebras and Structures and Applications Related Books

Deformation Theory of Algebras and Structures and Applications
Language: en
Pages: 1024
Authors: Michiel Hazewinkel
Categories: Mathematics
Type: BOOK - Published: 2012-12-06 - Publisher: Springer Science & Business Media

DOWNLOAD EBOOK

This volume is a result of a meeting which took place in June 1986 at 'll Ciocco" in Italy entitled 'Deformation theory of algebras and structures and applicati
Deformation Theory of Algebras and Their Diagrams
Language: en
Pages: 143
Authors: Martin Markl
Categories: Mathematics
Type: BOOK - Published: 2012 - Publisher: American Mathematical Soc.

DOWNLOAD EBOOK

This book brings together both the classical and current aspects of deformation theory. The presentation is mostly self-contained, assuming only basic knowledge
Lie Methods in Deformation Theory
Language: en
Pages: 0
Authors: Marco Manetti
Categories: Mathematics
Type: BOOK - Published: 2022-09-01 - Publisher: Springer

DOWNLOAD EBOOK

This book furnishes a comprehensive treatment of differential graded Lie algebras, L-infinity algebras, and their use in deformation theory. We believe it is th
Deformations of Algebraic Schemes
Language: en
Pages: 343
Authors: Edoardo Sernesi
Categories: Mathematics
Type: BOOK - Published: 2007-04-20 - Publisher: Springer Science & Business Media

DOWNLOAD EBOOK

This account of deformation theory in classical algebraic geometry over an algebraically closed field presents for the first time some results previously scatte
Noncommutative Deformation Theory
Language: en
Pages: 382
Authors: Eivind Eriksen
Categories: Mathematics
Type: BOOK - Published: 2017-09-19 - Publisher: CRC Press

DOWNLOAD EBOOK

Noncommutative Deformation Theory is aimed at mathematicians and physicists studying the local structure of moduli spaces in algebraic geometry. This book intro