Rim hook tableaux and Kostant's \(\eta\)-function coefficients

DOI10.1016/j.aam.2003.06.004zbMath1056.05144arXivmath/0201003OpenAlexW2136389283MaRDI QIDQ705243

Ron M. Adin, Avital Frumkin

Publication date: 26 January 2005

Published in: Advances in Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0201003

zbMATH Keywords

Young diagramsrim hook tableaux

Mathematics Subject Classification ID

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

Related Items (6)

The \(\widehat W\)-orbit of \(\rho\), Kostant's formula for powers of the Euler product and affine Weyl groups as permutations of \(\mathbb Z\). ⋮ Trivial intersection of blocks and nilpotent subgroups ⋮ Modular Nekrasov-Okounkov formulas ⋮ The Nekrasov-Okounkov hook length formula: refinement, elementary proof, extension and applications ⋮ Combining hook length formulas and BG-ranks for partitions via the Littlewood decomposition ⋮ Polynomiality of Plancherel averages of hook-content summations for strict, doubled distinct and self-conjugate partitions

Cites Work

• A Schensted algorithm for rim hook tableaux
• The heat equation and modular forms
• On Macdonald's \(\eta\)-function formula, the Laplacian and generalized exponents
• Affine root systems and Dedekind's \(\eta\)-function
• The stable behavior of some characters of SL¹
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