Modern Trends In Algebra And Representation Theory

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Modern Trends in Algebra and Representation Theory

Author: David Jordan
language: en
Publisher: Cambridge University Press
Release Date: 2023-08-17
Aimed at graduate students and non-experts, this text gives a guided tour of modern developments in algebra and representation theory.
Modern Trends in Algebra and Representation Theory

Author: David Jordan
language: en
Publisher: Cambridge University Press
Release Date: 2023-08-17
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.
Modular Representation Theory

Author: D. Benson
language: en
Publisher: Springer Science & Business Media
Release Date: 1984-09
This reprint of a 1983 Yale graduate course makes results in modular representation theory accessible to an audience ranging from second-year graduate students to established mathematicians. Following a review of background material, the lectures examine three closely connected topics in modular representation theory of finite groups: representations rings; almost split sequences and the Auslander-Reiten quiver; and complexity and cohomology varieties, which has become a major theme in representation theory.