Invariant subspaces of the ring of functions on a vector space over a finite field

DOI10.1006/jabr.1996.6922zbMath0882.20025OpenAlexW1988239817MaRDI QIDQ1357557

Nicholas J. Kuhn

Publication date: 18 January 1998

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jabr.1996.6922

zbMATH Keywords

polynomial algebrasfinite-dimensional vector spacesindecomposable summandslattices of functorsorder ideals of posets

Mathematics Subject Classification ID

Associative rings of functions, subdirect products, sheaves of rings (16S60) Linear algebraic groups over finite fields (20G40) Representation theory for linear algebraic groups (20G05) Vector and tensor algebra, theory of invariants (15A72) Structure and representation theory of distributive lattices (06D05) Classical groups (algebro-geometric aspects) (14L35) Projectives and injectives (category-theoretic aspects) (18G05)

Related Items (2)

Symmetric powers, Steenrod operations and representation stability ⋮ Gröbner methods for representations of combinatorial categories

Cites Work

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• On embedding polynomial functors in symmetric powers
• Generic representations of the finite general linear groups and the Steenrod algebra. II
• Generic representations of the finite general linear groups and the Steenrod algebra. III
• On the groups \(H(\Pi,n)\). II
• The Morava K-Theories of Some Classifying Spaces
• Generic Representations of the Finite General Linear Groups and the Steenrod Algebra: I

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