The Kronecker product of Schur functions indexed by two-row shapes or hook shapes

DOI10.1023/A:1011942029902zbMath0999.05098arXivmath/0001084MaRDI QIDQ1610685

Mercedes H. Rosas

Publication date: 20 August 2002

Published in: Journal of Algebraic Combinatorics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0001084

zbMATH Keywords

Schur functionsKronecker productinternal productSergeev's formula

Mathematics Subject Classification ID

Symmetric functions and generalizations (05E05) Combinatorial aspects of representation theory (05E10)

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Cites Work

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• Shuffles of permutations and the Kronecker product
• Formulas for the expansion of the Kronecker products \(S_{(m,n)} \otimes{}S_{(1^{p-r},r)}\) and \(S_{(1^ k2^ l)} \otimes{}S_{(1^{p-r},r)}\)
• On the Kronecker product of Schur functions of two row shapes
• A formula for the Kronecker products of Schur functions of hook shapes
• The Kronecker Product of Symmetric Group Representations
• Plethysm and the Inner Product of S -Functions
• Sergeev's formula and the littlewood—richardson rule
• THE TENSOR ALGEBRA OF THE IDENTITY REPRESENTATION AS A MODULE OVER THE LIE SUPERALGEBRAS $ \mathfrak{Gl}(n,\,m)$ AND $ Q(n)$

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