Isotypic Decomposition

About
Privacy
Disclaimer

Graph Chatbot

Related lectures (31)

Page 2 of 4

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

Linearly reductive groups

Discusses linearly reductive groups and their properties, focusing on completely reducible representations and equivalent modules.

Linear Representations: Basics and Examples

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

Schur's Lemma and Representations

Explores Schur's lemma and its applications in representations of an associative algebra over an algebraically closed field.

Modules of Covariants

Explores the decomposition of the circle of the coordinate ring of a G variety into a direct sum of simple submodules.

Structure of Algebras

Covers the structure of finite dimensional algebras and the characterization of semisimple algebras.

Unitary Minimal Models: Representation Theory Insights

Covers the representation theory of unitary minimal models and the Virasoro algebra.

G-modules and G-varieties

Explores the embedding of chi-varieties into vector spaces with linear actions.

Algebraic Kunneth Theorem

Covers the Algebraic Kunneth Theorem, explaining chain complexes and cohomology computations.

Completely Reducible Representations

Covers completely reducible representations, simple modules, semisimple modules, and G-stable submodules.