Symmetric powers, Steenrod operations and representation stability

DOI10.1016/j.jpaa.2019.03.005zbMath1447.20016arXiv1809.08781OpenAlexW2952392838MaRDI QIDQ2001437

Geoffrey M. L. Powell

Publication date: 3 July 2019

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1809.08781

zbMATH Keywords

Steenrod algebrapolynomial functorsymmetric powerPeterson hit problemrepresentation stabilitystrict polynomial functor

Mathematics Subject Classification ID

Representation theory for linear algebraic groups (20G05) Steenrod algebra (55S10) Schur and (q)-Schur algebras (20G43)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• A stratification of generic representation theory and generalized Schur algebras.
• Strict polynomial functors and unstable modules over the Steenrod algebra
• On tilting modules for algebraic groups
• Generic representations of the finite general linear groups and the Steenrod algebra. II
• Invariant subspaces of the ring of functions on a vector space over a finite field
• General linear and functor cohomology over finite fields
• The category of modules with good filtrations over a quasi-hereditary algebra has almost split sequences
• On the Peterson hit problem
• Koszul, Ringel and Serre duality for strict polynomial functors
• Computations in generic representation theory: maps from symmetric powers to composite functors
• Generic Representations of the Finite General Linear Groups and the Steenrod Algebra: I
• Polynomials and the mod 2 Steenrod Algebra
• Polynomials and the mod 2 Steenrod Algebra

This page was built for publication: Symmetric powers, Steenrod operations and representation stability