Reflection group

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Mathematics
Algebra
Representation theory

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Related lectures (10)

Travel Guidelines Administration

Covers EPFL travel guidelines administration, new agency transition, booking procedures, and communication strategies.

Multiple Reflection Diagram Example

Demonstrates the application of multiple reflection diagrams to analyze signal behavior in transmission lines.

Introduction to the Perceptron Algorithm

Introduces the perceptron algorithm and its geometric interpretation, emphasizing the rotation of the hyperplane due to misclassified patterns.

Construction of Irreducible Coxeter Groups

Explores the construction of irreducible Coxeter groups and their geometric properties, focusing on classical and simply laced groups.

Symmetry in Modern Geometry

Explores symmetry in modern geometry, focusing on isometries, reflections, rotations, and translations, emphasizing the importance of 180-degree rotations.

Composition of Plane Reflections & Isometries in Space

Explores the composition of plane reflections and isometries in space, showcasing how reflections can lead to rotations and different isometries.

Multiple Reflection Diagrams: Examples

Explores multiple reflection diagrams and their application to voltage and current analysis.

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Explores crystallographic Coxeter groups, lattice preservation, and the classification of irreducible Weyl groups.

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Explores geometric transformations in R2 and R3, including reflections, rotations, and practical applications like billiards.

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Explores the modern definition and practical applications of symmetry in geometry.

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