Partition Identities and Labels for Some Modular Characters

DOI10.2307/2154497zbMath0806.05065OpenAlexW4255459875MaRDI QIDQ4311342

George E. Andrews, Christine Bessenrodt, Jørn B. Olsson

Publication date: 26 October 1994

Full work available at URL: https://doi.org/10.2307/2154497

zbMATH Keywords

symmetric groupmodular representationpartition identitiesmodular characters

Mathematics Subject Classification ID

Combinatorial aspects of partitions of integers (05A17) Combinatorial aspects of representation theory (05E10) Partitions; congruences and congruential restrictions (11P83) Projective representations and multipliers (20C25)

Related Items (7)

The 2-blocks of the covering groups of the symmetric groups ⋮ A refinement of a partition identity and blocks of some modular characters ⋮ Analytic proof of the partition identity \(A_{5,3,3}(n)=B_{5,3,3}^{0}(n)\) ⋮ In memoriam: Christine Bessenrodt (1958--2022) ⋮ Composition factors of 2-parts spin representations of symmetric groups ⋮ Basic sets for the double covering groups of the symmetric and alternating groups in odd characteristic ⋮ Arithmetical properties of the number of \(t\)-core partitions

Cites Work

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• Decomposition matrices for spin characters of symmetric groups at characteristic \(3\)
• On a theorem of Schur and Gleissberg
• Decomposition matrices for spin characters of symmetric groups
• On the general Rogers-Ramanujan theorem
• A Generalization of the Classical Partition Theorems

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