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Related lectures (30)
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Determinants: Alternate Forms and Symmetrization
Explores alternate forms, symmetric forms, and determinants in linear algebra.
Algebraic Quotients
Covers the concept of algebraic quotients in the context of a-variety.
Homomorphisms: Birational Maps and Affine Varieties
Covers homomorphisms between affine varieties, birational maps, regular groups, and connectedness.
Decomposition of Group Algebras
Covers examples of group algebra decomposition and simple infinite-dimensional algebras.
McKay Graphs of Finite Subgroups of SU(2)
Explores McKay graphs for finite subgroups of SU(2) and the corresponding Coxeter graphs.
Coxeter Groups: Simple Roots and Reflections
Explores the properties of simple roots and reflections in Coxeter groups, emphasizing uniqueness and linear independence.
Symmetries in Regular Polygons
Delves into the symmetries of regular polygons, including the dihedral group and left cosets in a finite group.
Useful Lemmas for p-Groups
Covers useful lemmas for p-groups, including divisibility properties and the existence of specific elements in finite abelian groups.
Geometric McKay correspondence: Du Val singularities and Dynkin diagrams
Explores the derivation of Dynkin diagrams from Du Val singularities.
Uniqueness in Abelian Groups
Explores the uniqueness in abelian groups, emphasizing the structure and choices within the groups.