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Algebraic Groups and Discontinuous Subgroups

Algebraic Groups and Discontinuous Subgroups

Algebraic Groups and Discontinuous Subgroups

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Group Theory by Ferdi Aryasetiawan

Group Theory by Ferdi Aryasetiawan

This note describes the following topics: Abstract Group Theory, Theory of Group Representations, Group Theory in Quantum Mechanics, Lie Groups, Atomic Physics, The Group SU2: Isospin, The Point Groups, The Group SU3.

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Geometric Group Theory Preliminary Version Under revision

Geometric Group Theory Preliminary Version Under revision

The goal of this book is to present several central topics in geometric group theory, primarily related to the large scale geometry of infinite groups and spaces on which such groups act, and to illustrate them with fundamental theorems such as Gromovís Theorem on groups of polynomial growth. Topics covered includes: Geometry and Topology, Metric spaces, Differential geometry, Hyperbolic Space, Groups and their actions, Median spaces and spaces with measured walls, Finitely generated and finitely presented groups, Coarse geometry, Coarse topology, Geometric aspects of solvable groups, Gromovís Theorem, Amenability and paradoxical decomposition, Proof of Stallingsí Theorem using harmonic functions.

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Group Theory Lecture Notes (PDF 88P)

Group Theory Lecture Notes (PDF 88P)

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Algebraic Groups and Discontinuous Subgroups

Algebraic Groups and Discontinuous Subgroups

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Group Theory

Group Theory

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Algebraic               Groups and Arithmetic Groups

Algebraic Groups and Arithmetic Groups

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Groups,               Symmetry and Fractals

Groups, Symmetry and Fractals

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The Classification of the Finite Simple Groups

The Classification of the Finite Simple Groups

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Classical Groups

Classical Groups

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An     Introduction to Galois Theory (PDF 130p)

An Introduction to Galois Theory (PDF 130p)

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Groups and     symmetry (PDF 68p)

Groups and symmetry (PDF 68p)

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Homogeneous spaces and equivariant embeddings

Homogeneous spaces and equivariant embeddings

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