Lecture

Class Equation and Burnside's Lemma

Description

This lecture introduces two formulas, the class equation and Burnside's lemma, which relate numbers related to fixed points, stabilizers, orbits, and group actions. The class equation connects the cardinalities of stabilizer classes, while Burnside's lemma establishes a relationship between orbits and fixed points by calculating the average cardinality of fixed point sets.

Instructor

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Official source

https://mediaspace.epfl.ch/media/0_2ecrz8n6

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Ontological neighbourhood

Mathematics

Algebra: Abstract algebra

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