An introduction to groups, groupoids and their representations

Inhaltsverzeichnis: Categories : basic notions and examples -- Groups -- Groupoids -- Actions of groups and groupoids -- Functors and transformations -- The structure of groupoids -- Linear representations of groups -- Characters and orthogonality relations -- Linear representations of catego'r...

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Bibliographische Detailangaben
1. Verfasser: Ibort, Alberto (VerfasserIn)
Weitere Verfasser: Rodríguez, Miguel A. (VerfasserIn)
Format: UnknownFormat
Sprache:eng
Veröffentlicht: Boca Raton, London, New York CRC Press, Taylor & Francis Group 2020
Schlagworte:
Online Zugang:zbMATH
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Beschreibung
Zusammenfassung:Inhaltsverzeichnis: Categories : basic notions and examples -- Groups -- Groupoids -- Actions of groups and groupoids -- Functors and transformations -- The structure of groupoids -- Linear representations of groups -- Characters and orthogonality relations -- Linear representations of catego'ries and groupoids -- Algebras and groupoids -- Semi-simplicity -- Representations of groupoids.
"This book offers an introduction to the theory of groupoids and their representations encompassing the standard theory of groups. Using a categorical language, developed from simple examples, the theory of finite groupoids is shown to knit neatly with that of groups and their structure as well as that of their representations is described. The book comprises numerous examples and applications, including well-known games and puzzles, databases and physics applications. Key concepts have been presented using only basic notions so that it can be used both by students and researchers interested in the subject"--
Beschreibung:"A Science Publishers book."
Includes bibliographical references and index
Beschreibung:xviii, 343 Seiten
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ISBN:9781138035867
978-1-138-03586-7