The ring of polynomial functors of prime degree

DOI10.1090/S0002-9947-2014-06265-XzbMath1386.13035arXiv1304.4850OpenAlexW2136674731MaRDI QIDQ2944822

Alexander Zimmermann

Publication date: 8 September 2015

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1304.4850

zbMATH Keywords

Schur algebrasBrauer tree algebraspolynomial functorsrepresentation typeGreen ordersrecollement diagram

Mathematics Subject Classification ID

Orders in separable algebras (16H10) Module categories and commutative rings (13C60)

Cites Work

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• A stratification of generic representation theory and generalized Schur algebras.
• Recollements of module categories
• Bifunctor cohomology and cohomological finite generation for reductive groups.
• Polynomial representations of \(\text{GL}_n\). With an appendix on Schensted correspondence and Littelmann paths by K. Erdmann, J. A. Green and M. Schocker.
• Extensions of simple functors
• Quadratic functors and metastable homotopy
• Towards the MacLane cohomology of finite fields
• Generic representations of the finite general linear groups and the Steenrod algebra. II
• Cohomology of finite group schemes over a field
• On the MacLane cohomology for the ring of integers
• Derived equivalences for group rings
• Extensions between exterior powers and between symmetric powers
• General linear and functor cohomology over finite fields
• Homology of automorphism groups of free groups with polynomial coefficients.
• Generic representations of orthogonal groups: the mixed functors
• Generic representations of orthogonal groups: The functor category \({\mathcal F}_{\text{quad}}\)
• On the groups \(H(\varPi,n)\). III. Operations and obstructions
• Foncteurs polynomiaux et foncteurs de Mackey non linéaires
• Sur l'homologie des groupes unitaires à coefficients polynomiaux
• Generic representations of orthogonal groups: projective functors in the category F_quad
• Sur l’homologie des groupes orthogonaux et symplectiques à coefficients tordus
• Blocks of cyclic defect and green-orders
• The Categories of Unstable Modules and Unstable Algebras Over the Steenrod Algebra Modulo Nilpotent Objects
• Generic Representations of the Finite General Linear Groups and the Steenrod Algebra: I
• Cyclotomic Schur Algebras and Blocks of Cyclic Defect
• On Cubic Functors
• Polynomial Functors from Algebras Over a Set-Operad and Nonlinear Mackey Functors
• Finitely generated quadratic modules

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