# Representation Theory

Modules over an Algebra and Group RepresentationsModules over an algebra, K[G]-modules and the operation of a group on a module.

[Modules over an Algebra and Group Representations](ModulesOverAnAlgebraAndGroupRepresentations/index-modules-over-an-algebra-and-group-representations.md)Characters of Finite GroupsCharacter tables, character rings and Brauer characters.

[Characters of Finite Groups](CharactersOfFiniteGroups/index-characters-of-finite-groups.md)Representations of Symmetric GroupsSpecht modules, representations and characters of symmetric and alternating groups.

[Representations of Symmetric Groups](RepresentationsOfSymmetricGroups/index-representations-of-symmetric-groups.md)Mod p Galois RepresentationsMod p Galois representations and their associated modules.

[Mod P Galois Representations](ModPGaloisRepresentations/index-mod-pgalois-representations.md)Group RepresentationsCreation, properties, operations and morphisms of group representations.

[Group Representations](GroupRepresentations/index-group-representations.md)