Notes on Categories and Groupoids
by P. J. Higgins
Publisher: Van Nostrand Reinhold 1971
ISBN/ASIN: 0442034067
ISBN-13: 9780442034061
Number of pages: 195
Description:
This book presents a self-contained account of the elementary theory of groupoids and some of its uses in group theory and topology. Category theory appears as a secondary topic whenever it is relevant to the main issue, and its treatment is by no means systematic.
Download or read it online for free here:
Download link
(14MB, PDF)
Similar books
Elements of Group Theoryby F. J. Yndurain - arXiv
The following notes are the basis for a graduate course. They are oriented towards the application of group theory to particle physics, although some of it can be used for general quantum mechanics. They have no pretense of mathematical rigor.
(13107 views)
An Introduction to Group Theory: Applications to Mathematical Music Theoryby Flor Aceff-Sanchez, et al. - BookBoon
In this text, a modern presentation of the fundamental notions of Group Theory is chosen, where the language of commutative diagrams and universal properties, so necessary in Modern Mathematics, in Physics and Computer Science, is introduced.
(7795 views)
Theory of Groups of Finite Orderby William Burnside - Cambridge University Press
After introducing permutation notation and defining group, the author discusses the simpler properties of group that are independent of their modes of representation; composition-series of groups; isomorphism of a group with itself; etc.
(7459 views)
Frobenius Splittings and B-Modulesby Wilberd van der Kallen - Springer
The course given by the author in 1992 explains the solution by O. Mathieu of some conjectures in the representation theory of arbitrary semisimple algebraic groups. The conjectures concern filtrations of 'standard' representations.
(6360 views)