# Modular plethystic isomorphisms for two-dimensional linear groups

@article{McDowell2021ModularPI,
title={Modular plethystic isomorphisms for two-dimensional linear groups},
author={Eoghan McDowell and Mark Wildon},
journal={Journal of Algebra},
year={2021}
}
• Published 2 May 2021
• Mathematics
• Journal of Algebra
1 Citations

## Figures from this paper

. Let p be an odd prime and let k be a ﬁeld of characteristic p . We provide a practical algebraic description of the representation ring of k SL 2 ( F p ) modulo projectives. We then investigate a

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In this paper the reader is assumed to have taken notice of [I]. In [III] 1 we described the $lambda;, and s-, structure of the Green ring of GL(2,F p), and Sl(2,F p). We shall now construct a Young tableaux and Schur functions are used to analyse the angular momentum eigenstates of multiparticle configurations. The method is based on the plethysms governing the restriction from SU(2j+1) • Mathematics • 1991 This volume represents a series of lectures which aims to introduce the beginner to the finite dimensional representations of Lie groups and Lie algebras. Following an introduction to representation Algebraic geometry affine algebraic groups lie algebras homogeneous spaces chracteristic 0 theory semisimple and unipoten elements solvable groups Borel subgroups centralizers of Tori structure of • Mathematics Transactions of the American Mathematical Society • 2021 Let$s_\nu \circ s_\mu$denote the plethystic product of the Schur functions$s_\nu$and$s_\mu$. In this article we define an explicit polynomial representation corresponding to$s_\nu \circ s_\mu\$