Skip to main content
SpringerLink
Log in

Deformation Theory of Algebras and Structures and Applications

  • Book
  • © 1988

Overview

Editors:
  1. Michiel Hazewinkel

    1. CWI, University of Utrecht, Amsterdam, The Netherlands

    View editor publications

    You can also search for this editor in PubMed   Google Scholar

  2. Murray Gerstenhaber

    1. University of Pennsylvania, Philadelphia, USA

    View editor publications

    You can also search for this editor in PubMed   Google Scholar

Part of the book series: Nato Science Series C: (ASIC, volume 247)

This is a preview of subscription content, log in via an institution to check access.

Access this book

Log in via an institution
eBook USD 429.00
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 549.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book USD 549.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access

Licence this eBook for your library

Institutional subscriptions

Table of contents (21 chapters)

  1. Front Matter

    Pages i-viii
    Download chapter PDF

  2. The philosophy of deformations: introductory remarks and a guide to this volume

    1. The philosophy of deformations: introductory remarks and a guide to this volume

      • Michiel Hazewinkel
      Pages 1-7

  3. Deformations of algebras

    1. Front Matter

      Pages 9-9
      Download chapter PDF

    2. Algebraic Cohomology and Deformation Theory

      • Murray Gerstenhaber, Samuel D. Schack
      Pages 11-264

    3. Perturbations of Lie Algebra Structures

      • Michel Goze
      Pages 265-355

    4. Cohomology of Current Lie Algebras

      • C. Roger
      Pages 357-374

    5. An Example of Formal Deformations of Lie Algebras

      • A. Fialowski
      Pages 375-401

    6. On the Rigidity of Solvable Lie Algebras

      • José María, Ancochea Bermudez
      Pages 403-445

    7. Triangular Algebras

      • Murray Gerstenhaber, Samuel D. Schack
      Pages 447-498

  4. Perturbations of algebras in functional analysis and operator theory

    1. Front Matter

      Pages 499-499
      Download chapter PDF

    2. Deformation Theory for Algebras of Analytic Functions

      • Richard Rochberg
      Pages 501-535

    3. Close Operator Algebras

      • Erik Christensen
      Pages 537-556

    4. Perturbations of function algebras

      • K. Jarosz
      Pages 557-563

    5. Perturbations of Multiplication and Homomorphisms

      • B. E. Johnson
      Pages 565-579

  5. Deformations and moduli in geometry and differential equations and algebras

    1. Front Matter

      Pages 581-581
      Download chapter PDF

    2. Local Isoformal Deformation Theory for Meromorphic Differential Equations Near an Irregular Singularity

      • D. G. Babbitt, V. S. Varadarajan
      Pages 583-700

    3. Geometric and Lie-Theoretic Principles in Pure and Applied Deformation Theory

      • Robert Hermann
      Pages 701-796

    4. Complexes of Differential Operators and Symmetric Spaces

      • Jacques Gasqui, Hubert Goldschmidt
      Pages 797-827

    5. Deformation Theory of Geometric and Algebraic Structures

      • J. F. Pommaret
      Pages 829-838

    6. Some Rigidity Results in the Deformation Theory of Symmetric Spaces

      • Jaques Gasqui, Hubert Goldschmidt
      Pages 839-851
Back to top

Keywords

About this book

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).

Editors and Affiliations

  • CWI, University of Utrecht, Amsterdam, The Netherlands

    Michiel Hazewinkel

  • University of Pennsylvania, Philadelphia, USA

    Murray Gerstenhaber

Bibliographic Information

  • Book Title: Deformation Theory of Algebras and Structures and Applications

  • Editors: Michiel Hazewinkel, Murray Gerstenhaber

  • Series Title: Nato Science Series C:

  • DOI: https://doi.org/10.1007/978-94-009-3057-5

  • Publisher: Springer Dordrecht

  • eBook Packages: Springer Book Archive

  • Copyright Information: Kluwer Academic Publishers 1988

  • Hardcover ISBN: 978-90-277-2804-3Published: 31 October 1988

  • Softcover ISBN: 978-94-010-7875-7Published: 02 October 2011

  • eBook ISBN: 978-94-009-3057-5Published: 06 December 2012

  • Series ISSN: 1389-2185

  • Edition Number: 1

  • Number of Pages: VIII, 1030

  • Topics: Algebra, Geometry, Mathematics, general, Theoretical, Mathematical and Computational Physics

Publish with us

Policies and ethics

Back to top

Search

Navigation