Multiplicity-free representations of algebraic groups II
File(s)
Accepted version
Author(s)
Liebeck, Martin
Seitz, Gary
Testerman, Donna
Type
Journal Article
Abstract
We continue our work, started in [9], on the program of classifying triples
(X, Y, V ), where X, Y are simple algebraic groups over an algebraically closed field of
characteristic zero with X < Y , and V is an irreducible module for Y such that the
restriction V ↓ X is multiplicity-free. In this paper we handle the case where X is of
type A, and is irreducibly embedded in Y of type B, C or D. It turns out that there
are relatively few triples for X of arbitrary rank, but a number of interesting exceptional
examples arise for small ranks.
(X, Y, V ), where X, Y are simple algebraic groups over an algebraically closed field of
characteristic zero with X < Y , and V is an irreducible module for Y such that the
restriction V ↓ X is multiplicity-free. In this paper we handle the case where X is of
type A, and is irreducibly embedded in Y of type B, C or D. It turns out that there
are relatively few triples for X of arbitrary rank, but a number of interesting exceptional
examples arise for small ranks.
Date Issued
2022-10-01
Date Acceptance
2021-07-07
Citation
Journal of Algebra, 2022, 607 (Part A), pp.531-606
ISSN
0021-8693
Publisher
Elsevier
Start Page
531
End Page
606
Journal / Book Title
Journal of Algebra
Volume
607
Issue
Part A
Copyright Statement
© 2022 Elsevier Ltd. All rights reserved. This manuscript is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International Licence http://creativecommons.org/licenses/by-nc-nd/4.0/
Identifier
https://www.sciencedirect.com/science/article/pii/S0021869321003471
Subjects
General Mathematics
0101 Pure Mathematics
Publication Status
Published
Date Publish Online
2021-07-14