2017-07-30T04:08:38+03:00[Europe/Moscow] en true Group representation, Representation theory, Semisimple module, Clebsch–Gordan coefficients, Young tableau, Restricted representation, List of representation theory topics, Crystal base, Freudenthal magic square, Projective representation, Irreducible representation, Schubert variety, Oscillator representation flashcards
Representation theory

# Representation theory

• Group representation
In the mathematical field of representation theory, group representations describe abstract groups in terms of linear transformations of vector spaces; in particular, they can be used to represent group elements as matrices so that the group operation can be represented by matrix multiplication.
• Representation theory
Representation theory is a branch of mathematics that studies abstract algebraic structures by representing their elements as linear transformations of vector spaces, and studies modules over these abstract algebraic structures.
• Semisimple module
In mathematics, especially in the area of abstract algebra known as module theory, a semisimple module or completely reducible module is a type of module that can be understood easily from its parts.
• Clebsch–Gordan coefficients
In physics, the Clebsch–Gordan (CG) coefficients are numbers that arise in angular momentum coupling in quantum mechanics.
• Young tableau
In mathematics, a Young tableau (pl.: tableaux) is a combinatorial object useful in representation theory and Schubert calculus.
• Restricted representation
In mathematics, restriction is a fundamental construction in representation theory of groups.
• List of representation theory topics