Straightening rule for an m′-truncated polynomial ring
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DOI: 10.1016/j.jalgebra.2018.11.030
Abstract: We consider a certain quotient of a polynomial ring categorified by both the isomorphic Green rings of the symmetric groups and Schur algebras generated by the signed Young permutation modules and mixed powers respectively. They… read more here.
Keywords: polynomial ring; signed young; straightening rule; ring ... See more keywords
On signed Young permutation modules and signed p-Kostka numbers
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DOI: 10.1515/jgth-2017-0007
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… read more here.
Keywords: young permutation; permutation modules; kostka numbers; signed young ... See more keywords