The stability of the Kronecker product of Schur functions

DOI10.1016/j.jalgebra.2010.12.026zbMath1226.05248OpenAlexW2952081580MaRDI QIDQ716443

Emmanuel Briand, Rosa C. Orellana, Mercedes H. Rosas

Publication date: 22 September 2011

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2010.12.026

zbMATH Keywords

symmetric functionsKronecker productinternal product

Mathematics Subject Classification ID

Symmetric functions and generalizations (05E05) Representations of finite symmetric groups (20C30)

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Uses Software

• SF

Cites Work

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• An invitation to the generalized saturation conjecture
• On rectangular Kronecker coefficients.
• Reduced Kronecker coefficients and counter-examples to Mulmuley's strong saturation conjecture SH
• Nonzero Kronecker coefficients and what they tell us about spectra
• On the Kronecker product of \(S_n\) characters
• Tensorprodukte von Charakteren der symmetrischen Gruppe
• Stability of Kronecker products of irreducible characters of the symmetric group
• Stable properties of plethysm: On two conjectures of Foulkes
• The Kronecker product of Schur functions indexed by two-row shapes or hook shapes
• A Maple package for symmetric functions
• A combinatorial interpretation for the coefficients in the Kronecker product \(s_{(n-p,p)} \ast s_\lambda\)
• HOPF ALGEBRAS OF SYMMETRIC FUNCTIONS AND TENSOR PRODUCTS OF SYMMETRIC GROUP REPRESENTATIONS
• Products and Plethysms of Characters with Orthogonal, Symplectic and Symmetric Groups
• Reduced notation, inner plethysms and the symmetric group
• Eigenvalues, invariant factors, highest weights, and Schubert calculus
• The symmetric group: Characters, products and plethysms