An Introduction to Groups, Groupoids and Their Representations

ISBN-13: 9781138035867 / Angielski / Twarda / 2019 / 18 str.

Alberto Ibort; Miguel A. Rodriguez

Opis

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.

Spis treści

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.