Modular plethystic isomorphisms for two-dimensional linear groups
DOI10.1016/j.jalgebra.2022.02.025OpenAlexW3159847919MaRDI QIDQ2132476
Publication date: 28 April 2022
Published in: Journal of Algebra (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2105.00538
dualitygeneral linear groupalgebraic grouptableauplethysmspecial linear groupmodular representationSchur functorHermite reciprocityWronskian isomorphism
Symmetric functions and generalizations (05E05) Combinatorial aspects of representation theory (05E10) Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Modular representations and characters (20C20) Semisimple Lie groups and their representations (22E46) Representations of Lie and real algebraic groups: algebraic methods (Verma modules, etc.) (22E47)
Related Items (1)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- A new generalization of Hermite's reciprocity law
- On permutation modules and decomposition numbers of the symmetric group.
- On the Wronskian combinants of binary forms
- The representation theory of the symmetric groups
- Symmetrizing tableaux and the 5th case of the Foulkes conjecture
- A random walk on the indecomposable summands of tensor products of modular representations of \(SL_2\left ({\mathbb{F}_p}\right )\)
- Koszul modules and Green's conjecture
- Plethysms of symmetric functions and representations of \(\mathrm{SL}_2(\mathbf{C})\)
- On Ringel duality for Schur algebras
- Young tableaux, Schur functions and SU(2) plethysms
- The λstructure of the green ring of GL(2,Fp)in characteristic P
- TheλX-structure of the green ring of GL(2,Fp) in characteristic P. II
- Plethysms of symmetric functions and highest weight representations
This page was built for publication: Modular plethystic isomorphisms for two-dimensional linear groups
