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Finite Dimensional Algebras and Related Topics

  • Book
  • © 1994

Overview

Editors:
  1. Vlastimil Dlab

    1. Department of Mathematics and Statistics, Carleton University, Ottawa, Canada

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    You can also search for this editor in PubMed   Google Scholar

  2. Leonard L. Scott

    1. Department of Mathematics, University of Virginia, Charlottesville, USA

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    You can also search for this editor in PubMed   Google Scholar

Part of the book series: Nato Science Series C: (ASIC, volume 424)

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Table of contents (19 chapters)

  1. Front Matter

    Pages i-xiv
    Download chapter PDF

  2. Equivalences of Blocks of Group Algebras

    • Michel Broué
    Pages 1-26

  3. On the Endomorphism Algebras of Gelfand-Graev Representations

    • Charles W. Curtis
    Pages 27-35

  4. Harish-Chandra Vertices, Green Correspondence in Hecke Algebras, and Steinbergs Tensor Product Theorem in Nondescribing Characteristic

    • Richard Dipper
    Pages 37-57

  5. On Tilting Modules and Invariants for Algebraic Groups

    • Stephen Donkin
    Pages 59-77

  6. Harish-Chandra Subalgebras and Gelfand-Zetlin Modules

    • Yu. A. Drozd, V. M. Futorny, S. A. Ovsienko
    Pages 79-93

  7. Algebras Associated to Bruhat Intervals and Polyhedral Cones

    • M. J. Dyer
    Pages 95-121

  8. Symmetric Groups and Quasi-Hereditary Algebras

    • Karin Erdmann
    Pages 123-161

  9. Quasitilted Algebras

    • Dieter Happel, Idun Reiten, Sverre O. Smalø
    Pages 163-181

  10. Tilting Theory and Differential Graded Algebras

    • Bernhard Keller
    Pages 183-190

  11. Wild Canonical Algebras and Rings of Automorphic Forms

    • H. Lenzing
    Pages 191-212

  12. The Ext Algebra of a Highest Weight Category

    • Brian Parshall
    Pages 213-222

  13. Coxeter transformations and the representation theory of algebras

    • José Antonio de la Peña
    Pages 223-253

  14. Translation Functors and Equivalences of Derived Categories for Blocks of Algebraic Groups

    • Jeremy Rickard
    Pages 255-264

  15. Blocks with cyclic defect (Green orders)

    • K. W. Roggenkamp
    Pages 265-276

  16. Rigid and Exceptional Sheaves on a Del Pezzo Surface

    • Alexei N. Rudakov
    Pages 277-291

  17. Quasihereditary algebras and Kazhdan-Lusztig theory

    • Leonard L. Scott
    Pages 293-308

  18. Cycles in Module Categories

    • Andrzej SkowroÅ„ski
    Pages 309-345

  19. Relative Homology

    • M. Auslander, Ø. Solberg
    Pages 347-359

  20. Tilting Theory and Selfinjective Algebras

    • Takayoshi Wakamatsu
    Pages 361-390
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Keywords

About this book

Based on invited lectures at the 1992 Canadian Algebra Seminar, this volume represents an up-to-date and unique report on finite-dimensional algebras as a subject with many serious interactions with other mathematical disciplines, including algebraic groups and Lie theory, automorphic forms, sheaf theory, finite groups, and homological algebra. It will interest mathematicians and graduate students in these and related subjects as an introduction to research in an area of increasing relevance and importance.

Editors and Affiliations

  • Department of Mathematics and Statistics, Carleton University, Ottawa, Canada

    Vlastimil Dlab

  • Department of Mathematics, University of Virginia, Charlottesville, USA

    Leonard L. Scott

Bibliographic Information

  • Book Title: Finite Dimensional Algebras and Related Topics

  • Editors: Vlastimil Dlab, Leonard L. Scott

  • Series Title: Nato Science Series C:

  • DOI: https://doi.org/10.1007/978-94-017-1556-0

  • Publisher: Springer Dordrecht

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer Science+Business Media Dordrecht 1994

  • Hardcover ISBN: 978-0-7923-2755-4Published: 31 March 1994

  • Softcover ISBN: 978-90-481-4377-1Published: 08 December 2010

  • eBook ISBN: 978-94-017-1556-0Published: 18 April 2013

  • Series ISSN: 1389-2185

  • Edition Number: 1

  • Number of Pages: XIV, 392

  • Topics: Non-associative Rings and Algebras, Commutative Rings and Algebras, Algebra

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