The functor \(V\mapsto\mathbb F_{2}[V]^{\otimes 3}\) between \(\mathbb F_{ 2 }\)-vector spaces is Noetherian

DOI10.5802/aif.2436zbMath1170.18002OpenAlexW2913266922MaRDI QIDQ1013017

Aurélien Djament

Publication date: 29 April 2009

Published in: Annales de l'Institut Fourier (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=AIF_2009__59_2_459_0

zbMATH Keywords

Grassmannianmodular representationfunctor categorylinear groupKrull filtrationdivision functor

Mathematics Subject Classification ID

Related Items (1)

Gröbner methods for representations of combinatorial categories

Cites Work

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• Extensions between exterior powers and between symmetric powers
• Division functors and structure of \(I^{\otimes 2}\otimes \Lambda^n\) in the category \(\mathcal F\)
• The structure of indecomposable injectives in generic representation theory
• Generic Representations of the Finite General Linear Groups and the Steenrod Algebra: I
• Foncteurs en grassmanniennes, filtration de Krull et cohomologie des foncteurs

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