HOPF ALGEBRAS OF SYMMETRIC FUNCTIONS AND TENSOR PRODUCTS OF SYMMETRIC GROUP REPRESENTATIONS

DOI10.1142/S0218196791000134zbMath0723.05117MaRDI QIDQ3211362

Jean-Yves Thibon

Publication date: 1991

Published in: International Journal of Algebra and Computation (Search for Journal in Brave)

zbMATH Keywords

Schur functionssymmetric functionssymmetric group representationsProcesi-Regev-Remmel identities

Mathematics Subject Classification ID

Symmetric functions and generalizations (05E05) Combinatorial aspects of representation theory (05E10) Representations of infinite symmetric groups (20C32)

Related Items (17)

Commutation and normal ordering for operators on symmetric functions ⋮ A diagrammatic approach to Kronecker squares ⋮ The Heisenberg product: from Hopf algebras and species to symmetric functions ⋮ Products of symmetric group characters ⋮ Generalized stability of Heisenberg coefficients ⋮ Algebraic random walks in the setting of symmetric functions ⋮ On the growth of Kronecker coefficients ⋮ Abacus-histories and the combinatorics of creation operators ⋮ Reduced Kronecker products which are multiplicity free or contain only few components ⋮ The stability of the Kronecker product of Schur functions ⋮ A comment on the combinatorics of the vertex operator \(\Gamma_{(t|X)}\) ⋮ Plethysm and vertex operators ⋮ Stability of Kronecker coefficients via discrete tomography ⋮ Stability of the Heisenberg product on symmetric functions ⋮ Ribbon Hopf algebras from group character rings ⋮ The partition algebra and the Kronecker coefficients ⋮ Kronecker coefficients for some near-rectangular partitions

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