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The book delves into the representation theory of groups and finite-dimensional algebras, beginning with foundational non-commutative ring theory. It explores essential concepts in homological algebra and group representations, including block theory, vertices, defect groups, and various correspondences like Green and Brauer. Additionally, it emphasizes a general approach, applying its findings to symmetric finite-dimensional algebras over fields, making it a comprehensive resource for understanding these mathematical structures.
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Representation Theory, Alexander Zimmermann
- Language
- Released
- 2016
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- (Paperback)
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- Title
- Representation Theory
- Subtitle
- A Homological Algebra Point of View
- Language
- English
- Authors
- Alexander Zimmermann
- Publisher
- Springer International Publishing
- Released
- 2016
- Format
- Paperback
- Pages
- 728
- ISBN13
- 9783319352619
- Category
- Mathematics
- Description
- The book delves into the representation theory of groups and finite-dimensional algebras, beginning with foundational non-commutative ring theory. It explores essential concepts in homological algebra and group representations, including block theory, vertices, defect groups, and various correspondences like Green and Brauer. Additionally, it emphasizes a general approach, applying its findings to symmetric finite-dimensional algebras over fields, making it a comprehensive resource for understanding these mathematical structures.