Concept
Division algebra
Related lectures (30)
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.
Representation Theory: Algebras and Homomorphisms
Covers the goals and motivations of representation theory, focusing on associative algebras and homomorphisms.
Analysis IV: Convolution and Hilbert Structure
Explores convolution, uniform continuity, Hilbert structure, and Lebesgue measure in analysis.
Density Theorem: Endomorphisms of Simple Modules
Covers the density theorem in representation theory, focusing on endomorphisms of simple finite-dimensional modules.
Analytic Manifolds and Berkovich Spaces
Introduces analytic manifolds, Berkovich spaces, and multiplicative semi-norms in K-algebras.
Structure of Algebras
Covers the structure of finite dimensional algebras and the characterization of semisimple algebras.
Introduction and Probability Spaces
Covers the basics of probability theory, including probability spaces and random variables.
Probability Theory: Basics
Covers the basics of probability theory, including probability spaces, random variables, and measures.
Lie Groups: SU(2) and SO(3)
Explores Lie groups SU(2) and SO(3), emphasizing their mathematical properties and significance in physics.
Elements of Lie Groups and Algebras
Explores the transformation of vectors and tensors in quantum physics, emphasizing Lie groups and algebras.