Concept
Semi-simplicity
Related courses (7)
MATH-319: Lie Algebras
On introduit les algèbres de Lie semisimples de dimension finie sur les nombres complexes et démontre le théorème de classification de celles-ci.
MATH-334: Representation theory
Study the basics of representation theory of groups and associative algebras.
MATH-113: Algebra I - fundamental structures
Le but de ce cours est d'introduire et d'étudier les notions de base de l'algèbre abstraite.
MSE-651: Crystallography of structural phase transformations
The microstructure of many alloys and ceramics are constituted of very fine intricate domains (variants) created by diffusive or displacive phase transformations. The course introduces the crystallogr
MATH-686: Introduction to geometric representation theory
This course presents geometric constructions of irreducible representations of semi-simple Lie Algebras and their Weyl groups by means of Springer theory.
MATH-620(1): Topics in the theory of reductive algebraic groups, Lie algebras, and representation theory I
The topics addressed in this course are the structure theory of reductive algebraic groups, their associated Lie algebras, the related finite groups of Lie type, and the representation theory of all o
MATH-680: Monstrous moonshine
The monstrous moonshine is an unexpected connection between the Monster group and modular functions. In the course we will explain the statement of the conjecture and study the main ideas and concepts