Explore
This volume offers a fresh and modern introduction to one of abstract algebra’s key topics. Guiding readers through the transition between structure theory and representation theory, this textbook explores how algebraic objects like groups and rings act as symmetries of other structures. Using the accessible yet powerful language of category theory, the book reimagines standard approaches to topics such as modules and algebras in a way that unlocks modern treatments of more advanced topics such as quiver representations and even representations of Hopf algebras and categories. Aimed at undergraduate students with prior exposure to linear algebra and basic group theory, the book introduces categories early and uses them throughout, providing a cohesive framework that mirrors current mathematical research. Though technically sophisticated, it also includes examples and exercises designed to develop intuition and understanding. Grabowski’s inclusion of computational tools such as SageMath offers a valuable and traditionally underdeveloped bridge between abstract theory and hands-on exploration. This is a uniquely valuable guide for students ready to stretch their understanding of the subject’s conceptual depth and evolving frontiers.
This book is included in DOAB.
Why read this book? Have your say.
You must be logged in to comment.
Rights Information
Are you the author or publisher of this work? If so, you can claim it as yours by registering as an Unglue.it rights holder.Downloads
This work has been downloaded 0 times via unglue.it ebook links.
- 0 - pdf (CC BY-NC) at OAPEN Library.
Keywords
- Advanced Algebra
- Mathematics
- Mathematics textbook
- Representation Theory
- Representation Theory of Algebras
- Representation Theory of Finite Groups
- thema EDItEUR::P Mathematics and Science::PB Mathematics::PBF Algebra
- thema EDItEUR::P Mathematics and Science::PB Mathematics::PBK Calculus and mathematical analysis
- thema EDItEUR::P Mathematics and Science::PB Mathematics::PBW Applied mathematics
- thema EDItEUR::P Mathematics and Science::PH Physics::PHU Mathematical physics
Links
DOI: 10.11647/OBP.0492Editions