Name: Representation Theory: A Categorical Approach (en Inglés)
SKU: 65903272
Price: 35.61 USD
Availability: InStock
Author: Grabowski, Jan E.

portada Representation Theory: A Categorical Approach (en Inglés)

Representation Theory: A Categorical Approach (en Inglés)

Formato

Libro Físico

Editorial

Open Book Publishers

Autor

Grabowski, Jan E.

Idioma

Inglés

N° páginas

234

Encuadernación

Tapa Blanda

Dimensiones

23.4x15.6x1.2 cm

ISBN13

9781805117148

Representation Theory: A Categorical Approach (en Inglés)

Grabowski, Jan E. (Autor) · Open Book Publishers · Tapa Blanda

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Reseña del libro "Representation Theory: A Categorical Approach (en Inglés)"

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.