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This course aims to introduce learners to a wide range of exceptional structures in mathematics and physics through the dynamics of two games on graphs. The course covers topics such as Coxeter and Dynkin diagrams, root systems, Weyl groups, simple Lie algebras, and exceptional finite simple groups. Learners will develop skills in understanding combinatorial structures, representation theory, and their applications in modern physics. The teaching method involves lectures accessible to lay people and undergraduates without prior experience in Lie theory. The intended audience for this course is members of the Wild Egg Maths channel interested in exploring advanced mathematical concepts and their connections to physics.
