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research article

Multiplicity-free representations of algebraic groups II

Liebeck, Martin W.
•
Seitz, Gary M.
•
Testerman, Donna M.  
October 1, 2022
Journal Of Algebra

We continue our work, started in [9], on the program of classifying triples (X, Y, V), where X, Yare simple algebraic groups over an algebraically closed field of characteristic zero with X < Y, and Vis an irreducible module for Y such that the restriction V down arrow 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. (c) 2021 Elsevier Inc. All rights reserved.

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Type
research article
DOI
10.1016/j.jalgebra.2021.07.003
Web of Science ID

WOS:000833526600022

Author(s)
Liebeck, Martin W.
•
Seitz, Gary M.
•
Testerman, Donna M.  
Date Issued

2022-10-01

Publisher

ACADEMIC PRESS INC ELSEVIER SCIENCE

Published in
Journal Of Algebra
Volume

607

Start page

531

End page

606

Subjects

Mathematics

•

algebraic group

•

representation

•

multiplicity-free representation

Peer reviewed

REVIEWED

Written at

EPFL

EPFL units
GR-TES  
Available on Infoscience
August 15, 2022
Use this identifier to reference this record
https://infoscience.epfl.ch/handle/20.500.14299/190020
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