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An Introduction to Groups, Groupoids and Their Representations
ISBN-13:
9781351869560
Veröffentl:
2019
Seiten:
362
Autor:
Alberto Ibort
eBook Typ:
EPUB
eBook Format:
EPUB
Kopierschutz:
0 - No protection
Sprache:
Englisch
Beschreibung:
This book provides an elementary introduction to the theory of groupoids and their representations, encompassing the standard theory of groups with plenty of examples and applications ranging from combinatorics to the topology of graphs.
1. Categories: basic notions and examples. 2. Groups. 3. Groupoids. 4. Actions of groups and groupoids. 5. Functors and transformations. 6. The structure of groupoids. 7. Linear representations of groups. 8. Characters. 9. Linear representations of categories. 10. Algebras and groupoids. 11. Semi-simplicity. 12. Representations of groupoids. A. Glossary of Linear Algebra. B. Generators and relations. C. Schwinger Algebra. Bibliography. Index.
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