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research article

Structure of certain Weyl modules for the Spin groups

Cavallin, Mikaël  
July 1, 2018
Journal of Algebra

Let K be an algebraically closed field of characteristic and let W be a finite-dimensional K-vector space of dimension greater than or equal to 5. In this paper, we give the structure of certain Weyl modules for in the case where , as well as the dimension of the corresponding irreducible, finite-dimensional, rational KG-modules. In addition, we determine the composition factors of the restriction of certain irreducible, finite-dimensional, rational -modules to .

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Type
research article
DOI
10.1016/j.jalgebra.2018.03.007
Author(s)
Cavallin, Mikaël  
Date Issued

2018-07-01

Published in
Journal of Algebra
Volume

505

Start page

420

End page

455

Subjects

Algebraic groups

•

Classical groups

•

Representation theory

•

Weight multiplicities

•

Irreducible modules

•

Composition factors

•

Restriction rules

Editorial or Peer reviewed

REVIEWED

Written at

EPFL

EPFL units
GR-TES  
Available on Infoscience
July 8, 2019
Use this identifier to reference this record
https://infoscience.epfl.ch/handle/20.500.14299/158933
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