Group Characters and the Structure of Groups
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Publication:4759434
DOI10.1112/plms/s2-39.1.150zbMath0011.25001OpenAlexW2020806218MaRDI QIDQ4759434
Publication date: 1935
Published in: Proceedings of the London Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1112/plms/s2-39.1.150
Related Items (80)
Inequalities for mixed Schur functions ⋮ Symmetric functions and Koszul complexes ⋮ Représentations exceptionnelles des groupes semi-simples ⋮ Representations of \(\text{SL}(2,\mathbb{C})\) and unimodal polynomials. ⋮ Hilbert series of fixed free algebras and noncommutative classical invariant theory ⋮ The complex characters of the symmetric groups that remain irreducible in subgroups ⋮ On the rationalization of a sum of surds ⋮ Opposite Littlewood-Richardson sequences and their matrix realizations ⋮ Representations of spinor groups and the difference characters of \(SO(2n)\) ⋮ Determinantal method and the Littlewood-Richardson rule ⋮ A question of Muir and Littlewood's products ⋮ A combinatorial proof of the Giambelli identity for Schur functions ⋮ The Littlewood-Richardson rule for Coschur modules ⋮ The universal form of the Littlewood-Richardson rule ⋮ On symmetric balanced incomplete block designs with doubly transitive automorphism groups ⋮ Extended Bressoud-Wei and Koike skew Schur function identities ⋮ A Polya interpretation of the Schur function ⋮ Young symmetry, the flag manifold, and representations of GL(n) ⋮ Monotonicity and unimodality of the pattern inventory ⋮ On the equality of two plane partition correspondences ⋮ Factorization of permutations into n-cycles ⋮ Some observations of plethysms ⋮ Polynomial ring generated by tableau shapes ⋮ Factorization of Schur functions of various types. ⋮ Elementary divisors of tensor products and \(p\)-ranks of binomial matrices. ⋮ Some connections between the Littlewood-Richardson rule and the construction of Schensted ⋮ Enumeration of partitions with hooklengths ⋮ The monomial symmetric functions and the Frobenius map ⋮ The Cauchy identity for \(Sp(2n)\) ⋮ Region distributions of graph embeddings and Stirling numbers ⋮ Explicit solution of the Carlson problem ⋮ Tensor product multiplicities and convex polytopes in partition space ⋮ The Pragacz identity and a new algorithm for Littlewood-Richardson coefficients ⋮ Tableaux and insertion schemes for spinor representations of the orthogonal Lie algebra \(so(2r+1,\mathbb{C})\) ⋮ Unimodal polynomials associated with Lie algebras and superalgebras ⋮ Spectral measures for G2, II: Finite subgroups ⋮ On a bijection between Littlewood-Richardson fillings of conjugate shape ⋮ The column and row immanants over a split quaternion algebra ⋮ Immanants of combinatorial matrices ⋮ Proof of a conjecture on immanants of the Jacobi-Trudi matrix ⋮ Algebraic random walks in the setting of symmetric functions ⋮ Zonal polynomials and domino tableaux ⋮ A linear operator for symmetric functions and tableaux in a strip with given trace ⋮ A triple product identity for Schur functions ⋮ Immant dominance orderings for hook partitions ⋮ Symmetric functions, tableaux decompositions and the fermion-boson correspondence ⋮ On the product of a Schur function and a skew Schur function ⋮ An extension of Schensted's theorem ⋮ The classes and characters of certain maximal and other subgroups of \(O_{2n+2}\) (2) ⋮ Rational tableaux and the tensor algebra of \(gl_ n\) ⋮ Equivalence of the combinatorial and the classical definitions of Schur functions ⋮ Two new functors from modules to algebras ⋮ A characteristic-free approach to the representation theory of \(\mathfrak S_n\) ⋮ Rogers-Szegő polynomials and Hall-Littlewood symmetric functions ⋮ Young diagrams, Schur functions, the Gale-Ryser theorem and a conjecture or Snapper ⋮ Frames, Young tableaux, and Baxter sequences ⋮ Recurrences for characters of the symmetric group ⋮ A new proof of a theorem of Littlewood ⋮ Plethysm and vertex operators ⋮ The umbral symbolic method for supersymmetric tensors ⋮ Some combinatorial properties of Jack symmetric functions ⋮ Matrices with involution and invariant theory ⋮ Inversion des matrices de Hankel. (Inversion of Hankel matrices) ⋮ A decomposition of the group algebra of a finite Coxeter group ⋮ On quantum mechanics of identical particles ⋮ Orthogonal tableaux and an insertion algorithm for \(SO(2n+1)\) ⋮ The asymptotic number of integer stochastic matrices ⋮ A characterization of the finite simple group M(22) ⋮ The conjugate trace and trace of a plane partition ⋮ A model for an interacting quantum field ⋮ An association scheme for the 1-factors of the complete graph ⋮ Generalized Young tableaux and Kronecker products of SO(n) representations ⋮ Finite subgroup bases for compact Lie groups ⋮ Tensor product representations for orthosymplectic Lie superalgebras ⋮ Formulas for the expansion of the plethysms \(s_ 2[s_{(a,b)}\) and \(s_ 2[s_{(n^ k)}]\).] ⋮ A combinatorial interpretation of the inverse \(t\)-Kostka matrix. ⋮ Four correspondences between graphs and generalized Young tableaux ⋮ A bijection proving orthogonality of the characters of \(S_ n\) ⋮ A Schensted algorithm for rim hook tableaux ⋮ Weighted inversion numbers, restricted growth functions, and standard Young tableaux
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