On Weyl resolutions associated to Frobenius twists
Mihalis Maliakas
TL;DR
This paper constructs Weyl resolutions linked to Frobenius twists of divided powers and uses these to determine the Weyl filtration dimension of Schur algebras S(2,r), confirming a result by A. Parker.
Contribution
It introduces new Weyl resolutions associated with Frobenius twists and applies them to compute the Weyl filtration dimension of specific Schur algebras.
Findings
Weyl resolutions associated to Frobenius twists are constructed.
The Weyl filtration dimension of S(2,r) is determined.
The results confirm A. Parker's earlier findings.
Abstract
We construct Weyl resolutions associated to certain Frobenius twists of divided powers. Using these and other related complexes we obtain the Weyl filtration dimension of the Schur algebras S(2,r), a result due to A. Parker.
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Taxonomy
TopicsAdvanced Algebra and Geometry · Algebraic structures and combinatorial models · Finite Group Theory Research