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Abstract We prove the existence and main properties of signed Young modules for the symmetric group, using only basic facts about symmetric group representations and the Broué correspondence. We then… Click to show full abstract
Abstract We prove the existence and main properties of signed Young modules for the symmetric group, using only basic facts about symmetric group representations and the Broué correspondence. We then prove new reduction theorems for the signed p-Kostka numbers, defined to be the multiplicities of signed Young modules as direct summands of signed Young permutation modules. We end by classifying the indecomposable signed Young permutation modules and determining their endomorphism algebras.
Keywords:
young permutation;
permutation modules;
kostka numbers;
signed young;
signed kostka
Journal Title: Journal of Group Theory
Year Published: 2017
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Journal Title: Journal of Group Theory
Year Published: 2017
Link to full text (if available)
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recommendations!