Abstract
Specht Modules are irreducible representations that appear with multiplicity one in each Young permutation module. We exhibit an explicit basis for Specht modules in the space of polytabloids.
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Notes
- 1.
The notation \(\twoheadrightarrow \) indicates a surjective (onto) mapping, and the notation ↪ indicates an injective (one-to-one) mapping.
References
Howe, R. M., Liu, H., & Vaughan, M. (2020). A proof of the equivalence between the polytabloid bases and Specht polynomials for irreducible representations of the symmetric group. Ball State Mathematics Exchange, 14(1) (Fall), 25–33.
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Howe, R.M. (2022). Specht Modules. In: An Invitation to Representation Theory. Springer Undergraduate Mathematics Series(). Springer, Cham. https://doi.org/10.1007/978-3-030-98025-2_11
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DOI: https://doi.org/10.1007/978-3-030-98025-2_11
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