On p -Kostka numbers and Young modules

The combinatorial properties of Young modules corresponding to maximal Young subgroups are studied: an explicit formula for p -Kostka numbers is given, and as applications, the ordinary characters of Young modules are described and a branching rule for Young modules is determined. Moreover, for cert...

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Bibliographic Details
Published in:European journal of combinatorics 2005-08, Vol.26 (6), p.923-942
Main Author: Henke, Anne
Format: Article
Language:English
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Summary:The combinatorial properties of Young modules corresponding to maximal Young subgroups are studied: an explicit formula for p -Kostka numbers is given, and as applications, the ordinary characters of Young modules are described and a branching rule for Young modules is determined. Moreover, for certain n -part partitions the reduction formulas for p -Kostka numbers given in A. Henke, S. Koenig [Relating polynomial G L n -representations in different degree, J. Reine Angew. Math. 551 (2002) 219] are reproved.
ISSN:0195-6698
1095-9971
DOI:10.1016/j.ejc.2004.06.006