On the Representations of the Symmetric Group

DOI10.2307/2371574zbMath0017.15503OpenAlexW2321048149MaRDI QIDQ5767296

F. D. Murnaghan

Publication date: 1937

Published in: American Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2307/2371574

zbMATH Keywords

symmetric permutation group

Mathematics Subject Classification ID

Representations of finite symmetric groups (20C30) Characterization theorems for permutation groups (20B10)

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Some Characters of the Symmetric Group ⋮ Classification of KPI lumps ⋮ On graded quotient modules of mapping class groups of surfaces ⋮ Generalized Young Tableaux and the General Linear Group ⋮ Branching Rules for Simple Lie Groups ⋮ Quantum mechanics of bipartite ribbon graphs: integrality, lattices and Kronecker coefficients ⋮ On some spherical t-designs ⋮ The monomial symmetric functions and the Frobenius map ⋮ Induced good gradings of structural matrix rings ⋮ Paths in ordered structures of partitions ⋮ A characteristic-free approach to the representation theory of \(\mathfrak S_n\) ⋮ Young diagrams, Schur functions, the Gale-Ryser theorem and a conjecture or Snapper ⋮ Symmetry Effects in the Spacing of Nuclear Energy Levels ⋮ Recurrences for characters of the symmetric group ⋮ Combinatorial algorithms for the expansion of various products of Schur functions ⋮ A proof of the Murnaghan-Nakayama rule using Specht modules and tableau combinatorics ⋮ Symmetric functions and raising operators ⋮ Über die Anwendung von Binärmodellen in der Theorie der Charaktere der symmetrischen Gruppen ⋮ Cycle type factorizations in \(\mathrm{GL}_n \mathbb{F}_q\) ⋮ RTNI—A symbolic integrator for Haar-random tensor networks ⋮ All-orders asymptotics of tensor model observables from symmetries of restricted partitions

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