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Results tagged with symmetric-functions
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user 100670
Symmetric functions are symmetric polynomials, in finitely many, or countably infinitely many variables. They arise in the representation theory of symmetric groups and in the polynomial representation theory of general linear groups. Bases of the ring of symmetric functions are indexed by integer partitions. Schur functions, elementary symmetric functions, complete symmetric functions, and power sum symmetric functions are the most commonly used bases.
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votes
On shifted symmetric power sums
This is only a partial answer, but perhaps it will help. While the symmetric functions $\Lambda$ are graded by polynomial degree, the shifted symmetric functions $\Lambda^*$ are only filtered. It is f …
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