The symmetric functions catalog

An overview of symmetric functions and related topics


Non-commutative symmetric functions

For an introduction to non-commutative symmetric functions, we refer to [GKLLRT95].

The non-commutative symmetric functions are dual to the quasisymmetric functions. These are not to be confused with symmetric functions in non-commutative variables.

Non-commutative Schur functions

See [GKLLRT95] for definition of the non-commutative Schur polynomials.

Murnaghan–Nakayama rule

See [Tew16] for a non-commutative lifting of the classical Murnaghan–Nakayama rule.