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512.81 --- Lie groups --- Lie algebras. --- Einfache Lie-Algebra. --- 512.81 Lie groups --- Lie algebras --- Algebras, Lie --- Algebra, Abstract --- Algebras, Linear

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The aim of this monograph is to give a self-contained introduction to the modern theory of finite transformation semigroups with a strong emphasis on concrete examples and combinatorial applications. It covers the following topics on the examples of the three classical finite transformation semigroups: transformations and semigroups, ideals and Green's relations, subsemigroups, congruences, endomorphisms, nilpotent subsemigroups, presentations, actions on sets, linear representations, cross-sections and variants. The book contains many exercises and historical comments and is directed, first of all, to both graduate and postgraduate students looking for an introduction to the theory of transformation semigroups, but should also prove useful to tutors and researchers.

Semigroups. --- Semigroups --- Mathematics --- Physical Sciences & Mathematics --- Algebra --- Group theory. --- Groups, Theory of --- Substitutions (Mathematics) --- Mathematics. --- Combinatorics. --- Group Theory and Generalizations. --- Group theory --- Combinatorics --- Mathematical analysis

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Group theory --- Discrete mathematics --- discrete wiskunde --- wiskunde