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Related lectures (29)
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Dihedral Group: Symmetries and Cosets
Explores the symmetries of a regular n-gon, normal subgroups, cosets, and Lagrange's theorem.
Subgroups and Cosets: Lagrange's Theorem
Explores subgroups, normal subgroups, cosets, and Lagrange's theorem in group theory, emphasizing the importance of left cosets.
Coxeter Groups: Generators and Relations
Explores Coxeter groups, emphasizing generators, relations, and unique presentations in group theory.
Permutations and Adjacency
Explores permutations preserving adjacency, linear transformations, groups, and sub-groups.
Symmetries in Regular Polygons
Delves into the symmetries of regular polygons, including the dihedral group and left cosets in a finite group.
Untitled
Irreducible Representations of Rotations Group
Explores irreducible representations of the rotations group and their mathematical properties.
Fundamental Groups
Explores fundamental groups, homotopy classes, and coverings in connected manifolds.
Lie Groups: Representations and Transformations
Explores Lie groups, scalar fields, and vector spaces transformations.
Untitled
Proper Actions and Quotients
Covers proper actions of groups on Riemann surfaces and introduces algebraic curves via square roots.
Lemma of Schur: Group Repetition Theory
Explores irreducible and reducible representations in group repetition theory and the lemma of Schur in quantum physics.
Local structure of totally disconnected locally compact groups I
Covers the local structure of totally disconnected locally compact groups, exploring properties and applications.
Untitled
Local structure of totally disconnected locally compact groups III
Explores the local structure of totally disconnected locally compact groups and their isomorphisms through conjugation.
Untitled
Algebra Review: Rings, Fields, and Groups
Covers a review of algebraic structures such as rings, fields, and groups, including integral domains, ideals, and finite fields.
Stochastic Block Model: Community Detection
Covers the Stochastic Block Model for community detection, focusing on the detection of communities, clusters, and groups.
Symmetry in Chemistry
Explores symmetry in chemistry, covering reflection planes, dihedral groups, cubic groups, and geometric shapes.
Identical Particles: Fermions
Explores quantum physics concepts related to identical fermions and bosons.
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