Overview

Symmetry is one of the most important organising principles in the natural sciences. The mathematical theory of symmetry has long been associated with group theory, but it is a basic premise of this book that there are aspects of symmetry which are more faithfully represented by a generalization of groups called inverse semigroups. The theory of inverse semigroups is described from its origins in the foundations of differential geometry through to its most recent applications in combinatorial group theory, and the theory tilings.Contents: Introduction to Inverse SemigroupsExtending Partial SymmetriesThe Natural Partial OrderOrdered GroupoidsExtensions of Inverse SemigroupsFree Inverse Semigroups E -unitary Inverse SemigroupsEnlargements0- E -unitary Inverse SemigroupsCategory Actions and Inverse SemigroupsReadership: Mathematicians, and students of symmetry in the physical sciences.

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9781299620902

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