Symmetric functions

Plethysm

In algebra, plethysm is an operation on symmetric functions introduced by Dudley E. Littlewood, who denoted it by {λ} ⊗ {μ}. The word "plethysm" for this operation (after the Greek word πληθυσμός meaning "multiplication") was introduced later by Littlewood , who said that the name was suggested by M. L. Clark. If symmetric functions are identified with operations in lambda rings, then plethysm corresponds to composition of operations. (Wikipedia).

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Direct sum | Schur functor | Group representation | Ring of symmetric functions | Character theory | Complex number | Vector space | Irreducible representation | General linear group | Schur polynomial | Representation theory