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Residue Symbols and Jantzen–Seitz Partitions

✍ Scribed by C. Bessenrodt; J.B. Olsson

Publisher
Elsevier Science
Year
1998
Tongue
English
Weight
512 KB
Volume
81
Category
Article
ISSN
0097-3165

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✦ Synopsis

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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