The Regular Representation

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Related lectures (27)

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Explores the construction of group representations through various methods and provides an illustrative example using the standard representation of sr2 on c2.

Algebraic Varieties in Linear Algebra

Explores algebraic varieties in linear algebra, focusing on their nature, determinants, irreducibility, prime properties, and geometric representation theory.

Vector Spaces: Properties and Examples

Explores vector spaces, focusing on properties, examples, and subspaces within a practical exercise on polynomials.

Kernel, Image and Linear Maps

Explains kernel, image, and linear maps, illustrating concepts with examples.

Linear Algebra: Subspaces and Transformations

Explores subspaces in linear algebra and transformations, including kernels and images of linear transformations.

Group Algebra: Maschke's Theorem

Explores Wedderburn's theorem, group algebras, and Maschke's theorem in the context of finite dimensional simple algebras and their endomorphisms.

Change of Basis, General Case

Explores the relationship between matrices under different bases in linear algebra.

Linear Algebra: Change of Basis and Matrix Representation

Explores changing bases in vector spaces and matrix representation of linear transformations.

Finding a Base from a System of Generators

Covers the process of finding a base from a system of generators in linear algebra.

Linear Representations: Basics and Examples

Covers linear representations, isomorphism, G modules, and classification of representations of C star and C plus.