Extensions of simple functors

DOI10.1023/A:1007700132156zbMath0918.20036OpenAlexW2054537665MaRDI QIDQ1272520

Lionel Schwartz, Laurent Piriou

Publication date: 8 March 1999

Published in: \(K\)-Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1023/a:1007700132156

zbMATH Keywords

Schur modulesWeyl modulespolynomial functorscategories of functorsmodular representations of symmetric groupsMacLane cohomologysimple functors

Mathematics Subject Classification ID

Representations of finite symmetric groups (20C30) Module categories in associative algebras (16D90) Representation theory for linear algebraic groups (20G05) Homological methods in group theory (20J05) Projectives and injectives (category-theoretic aspects) (18G05) Cohomology theory for linear algebraic groups (20G10) Semihereditary and hereditary rings, free ideal rings, Sylvester rings, etc. (16E60)

Related Items (9)

Splitting of composite functors. ⋮ The ring of polynomial functors of prime degree ⋮ Une description fonctorielle des K-théories de Morava des 2-groupes abéliens élémentaires ⋮ Division functors and structure of \(I^{\otimes 2}\otimes \Lambda^n\) in the category \(\mathcal F\) ⋮ Extensions of strict polynomial functors ⋮ The functor \(V\mapsto\mathbb F_{2}[V^{\otimes 3}\) between \(\mathbb F_{ 2 }\)-vector spaces is Noetherian] ⋮ The structure of the tensor product of \(\mathbb{F}_2[-\) with a finite functor between \(\mathbb{F}_2\)-vector spaces] ⋮ QUELQUES CALCULS DE COHOMOLOGIE DE COMPOSITIONS DE PUISSANCES SYMÉTRIQUES ⋮ Some finiteness results in the category \(\mathcal U\)

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