Abstract
Decomposition of Young Permutation Modules demonstrates “Young’s Rule,” which describes how permutation modules decompose into irreducible subrepresentations whose multiplicities are described by the Kotska numbers.
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Notes
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A space equivalent to.
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There is also a “Young’s Rule” in medicine.
References
James, G. (1978). The representation theory of the symmetric groups. Berlin, HeidelbergBerlin, Heidelberg: Springer.
James, G., & Kerber, A. (1985). The representation theory of the symmetric group. New York: Cambridge University Press.
Sagan, B. E. (1991). The symmetric group; representations, combinatorial algorithms, and symmetric functions (2nd ed.). New York, Berlin, Heidelberg, Barcelona, Hong Kong, London, Paris, Singapore, Tokyo: Springer.
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Howe, R.M. (2022). Decomposition of Young Permutation Modules. In: An Invitation to Representation Theory. Springer Undergraduate Mathematics Series(). Springer, Cham. https://doi.org/10.1007/978-3-030-98025-2_12
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DOI: https://doi.org/10.1007/978-3-030-98025-2_12
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