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A Journey Through Representation Theory : From Finite Groups to Quivers via Algebras / by Caroline Gruson, Vera Serganova

By: Contributor(s): Resource type: Ressourcentyp: Buch (Online)Book (Online)Language: English Series: Universitext | Springer eBook Collection | SpringerLink BücherPublisher: Cham : Springer International Publishing, 2018Description: Online-Ressource (XIII, 223 p, online resource)ISBN:
  • 9783319982717
Subject(s): Additional physical formats: 9783319982694 | 9783319982700 | Erscheint auch als: 9783319982694 Druck-Ausgabe | Printed edition: 9783319982694 | Printed edition: 9783319982700 | Erscheint auch als: A journey through representation theory. Druck-Ausgabe Cham : Springer International Publishing, 2018. xiii, 223 SeitenDDC classification:
  • 512.2
MSC: MSC: *20-02 | 20Cxx | 20G05 | 16G20 | 16T05RVK: RVK: SK 260LOC classification:
  • QA174-183
DOI: DOI: 10.1007/978-3-319-98271-7Online resources: Summary: This text covers a variety of topics in representation theory and is intended for graduate students and more advanced researchers who are interested in the field. The book begins with classical representation theory of finite groups over complex numbers and ends with results on representation theory of quivers. The text includes in particular infinite-dimensional unitary representations for abelian groups, Heisenberg groups and SL(2), and representation theory of finite-dimensional algebras. The last chapter is devoted to some applications of quivers, including Harish-Chandra modules for SL(2). Ample examples are provided and some are revisited with a different approach when new methods are introduced, leading to deeper results. Exercises are spread throughout each chapter. Prerequisites include an advanced course in linear algebra that covers Jordan normal forms and tensor products as well as basic results on groups and ringsSummary: Introduction to Representation Theory of Finite Groups -- Modules with Applications to Finite Groups -- Representations of Compact Groups -- Results About Unitary Representations -- On Algebraic Methods -- Symmetric Groups, Schur-Weyl Duality and Positive Self-adjoint Hopf Algebras -- Introduction to representation theory of quivers -- Representations of Dynkin and affine quivers -- Applications of quivers -- Bibliography -- IndexPPN: PPN: 103868546XPackage identifier: Produktsigel: ZDB-2-SEB | ZDB-2-SMA | ZDB-2-SXMS
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Reproduktion. (Springer eBook Collection. Mathematics and Statistics)

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