YOUNG MODULE MULTIPLICITIES, DECOMPOSITION NUMBERS AND THE INDECOMPOSABLE YOUNG PERMUTATION MODULES
2014 ◽
Vol 13
(05)
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pp. 1350147
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We study the multiplicities of Young modules as direct summands of permutation modules on cosets of Young subgroups. Such multiplicities have become known as the p-Kostka numbers. We classify the indecomposable Young permutation modules, and, applying the Brauer construction for p-permutation modules, we give some new reductions for p-Kostka numbers. In particular, we prove that p-Kostka numbers are preserved under multiplying partitions by p, and strengthen a known reduction corresponding to adding multiples of a p-power to the first row of a partition.
2012 ◽
Vol 153
(1)
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pp. 1-7
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2018 ◽
Vol 222
(12)
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pp. 3982-4003
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1968 ◽
Vol 20
(1-2)
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pp. 289-296
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2002 ◽
Vol 258
(2)
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pp. 599-614
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Keyword(s):
1997 ◽
Vol 1997
(485)
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pp. 55-92
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