Stable higher Specht polynomials indexed by infinite Ferrers diagrams give irreducible representations of the infinite symmetric group, and a conjectural f-indexed filtration describes all non-completely-reducible layers.
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Stable Higher Specht Polynomials and Representations of Infinite Symmetric Groups
Stable higher Specht polynomials indexed by infinite Ferrers diagrams give irreducible representations of the infinite symmetric group, and a conjectural f-indexed filtration describes all non-completely-reducible layers.