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
Nadia Mazza, Lancaster University
Sibylle Schroll, Universität zu Köln
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Adobe eBook Reader
9781009103473
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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
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No date availableAdobe eBook Reader
9781009103473
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Table of Contents
- Introduction David Jordan, Nadia Mazza and Sibylle Schroll
- 1. Auslander-Reiten theory of finite-dimensional algebras Raquel Coelho Simões
- 2. τ-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.
