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Springer Representation Theory: A Homological Algebra View

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Description

Expand your mathematical understanding with Representation Theory: A Homological Algebra Point of View. This volume from the Algebra and Applications series provides a structured approach to the representation theory of groups and finite dimensional algebras. By starting with basic non-commutative ring theory, the text builds a strong foundation for studying elementary homological algebra and group representations up to block theory. Readers will explore advanced topics including vertices, defect groups, Green and Brauer correspondences, and Clifford theory. The book adopts a general setting whenever possible, applying concepts to broader structures like symmetric finite dimensional algebras over a field. To provide a modern mathematical perspective, the text introduces abelian and derived categories in detail to explain complex theoretical concepts. This resource is designed for those seeking a rigorous look at how homological algebra informs representation theory.

Key Features

Comprehensive coverage of group and finite dimensional algebra representation theory.

Foundational instruction starting with basic non-commutative ring theory.

In-depth exploration of block theory, vertices, and defect groups.

Detailed analysis of Green and Brauer correspondences and Clifford theory.

General mathematical settings applied to symmetric finite dimensional algebras.

In-depth introduction to abelian and derived categories for advanced study.

Product Specifications

Format
paperback
Domain
Amazon UK
Release Date
10 September 2016
Listed Since
01 September 2016

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