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Generalised row and column removal phenomena and p-Kostka numbers

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arxiv 1602.05880 v2 pith:D57ZEQCR submitted 2016-02-18 math.RT

Generalised row and column removal phenomena and p-Kostka numbers

classification math.RT
keywords algebraskostkanumbersphenomenacolumnexplainextensionformulae
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We explain and generalise row-removal phenomena for Schur algebras via isomorphisms between subquotients of these algebras. In particular, we prove a new reduction formulae for $p$-Kostka numbers and extension groups between Weyl and simple modules.

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