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Modern Trends in Algebra and Representation Theory

Modern Trends in Algebra and Representation Theory

Modern Trends in Algebra and Representation Theory

David Jordan, University of Edinburgh
Nadia Mazza, Lancaster University
Sibylle Schroll, Universität zu Köln
August 2023
This ISBN is for an eBook version which is distributed on our behalf by a third party.
Adobe eBook Reader
9781009103473
$90.00
USD
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Paperback

    Expanding upon the material delivered during the LMS Autumn Algebra School 2020, this volume reflects the fruitful connections between different aspects of representation theory. Each survey article addresses a specific subject from a modern angle, beginning with an exploration of the representation theory of associative algebras, followed by the coverage of important developments in Lie theory in the past two decades, before the final sections introduce the reader to three strikingly different aspects of group theory. Written at a level suitable for graduate students and researchers in related fields, this book provides pure mathematicians with a springboard into the vast and growing literature in each area.

    • Covers a vast array of subjects in algebra and representation theory
    • Accessible to graduate students, as well as to pure mathematicians working in algebra and its applications
    • Contains many worked examples and applications, helping the reader to understand abstract concepts

    Product details

    August 2023
    Adobe eBook Reader
    9781009103473
    0 pages
    This ISBN is for an eBook version which is distributed on our behalf by a third party.

    Table of Contents

    • Introduction David Jordan, Nadia Mazza and Sibylle Schroll
    • 1. Auslander-Reiten theory of finite-dimensional algebras Raquel Coelho Simões
    • 2. Ï„-Tilting theory – an introduction Hipolito Treffinger
    • 3. From frieze patterns to cluster categories Matthew Pressland
    • 4. Infinite-dimensional representations of algebras Rosanna Laking
    • 5. The Springer correspondence Sam Gunningham
    • 6. An introduction to diagrammatic Soergel bimodules Amit Hazi
    • 7. A companion to quantum groups Bart Vlaar
    • 8. Infinite-dimensional Lie algebras and their multivariable generalizations Brian Williams
    • 9. An introduction to crowns in finite groups Gareth Tracey
    • 10. An introduction to totally disconnected locally compact groups and their finiteness conditions Ilaria Castellano
    • 11. Locally analytic representations of p-adic groups Andreas Bode and Nicolas Dupré.
      Contributors
    • David Jordan, Nadia Mazza, Sibylle Schroll, Raquel Coelho Simões, Hipolito Treffinger, Matthew Pressland, Rosanna Laking, Sam Gunningham, Amit Hazi, Bart Vlaar, Brian Williams, Gareth Tracey, Ilaria Castellano, Andreas Bode, Nicolas Dupré

    • Editors
    • David Jordan , University of Edinburgh

      David Jordan is Professor of Categorical Symmetry at the University of Edinburgh.

    • Nadia Mazza , Lancaster University

      Nadia Mazza is Professor in Pure Mathematics at Lancaster University.

    • Sibylle Schroll , Universität zu Köln

      Sibylle Schroll is Professor of Mathematics at the University of Cologne and Adjunct Professor at the Norwegian University of Science and Technology.