Residue symbols and Jantzen-Seitz partitions

1997/07/29 by Christine Bessenrodt, Bessenrodt, Christine, Jørn B. Olsson +1
Mathematics · #Combinatorics (math.CO) #FOS: Mathematics #math.CO

paper · pdf · doi:10.48550/arxiv.math/9707222

arxiv created 1997/07/29 · arxiv updated 2009/11/30

Abstract

Jantzen-Seitz partitions are those p-regular partitions of~n which label p-modular irreducible representations of the symmetric group S_n which remain irreducible when restricted to S_n-1; they have recently also been found to be important for certain exactly solvable models in statistical mechanics. In this article we study their combinatorial properties via a detailed analysis of their residue symbols; in particular the p-cores of Jantzen-Seitz partitions are determined.

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