Structure of certain Weyl modules for the Spin groups

Mikaël Cavallin
2018
Article

Résumé

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 .

Source officielle

https://infoscience.epfl.ch/record/268017?ln=fr

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Moments of the number of points in a bounded set for number field lattices

Maryna Viazovska, Nihar Prakash Gargava, Vlad Serban

We examine the moments of the number of lattice points in a fixed ball of volume

V

for lattices in Euclidean space which are modules over the ring of integers of a number field

K

. In particular, denoting by

ω_K

the number of roots of unity in

K

, we ...

arXiv2023

Structure of certain Weyl modules for the Spin groups

Multiplicity-free Representations of Algebraic Groups

Almost cyclic regular semisimple elements in irreducible representations of simple algebraic groups

Moments of the number of points in a bounded set for number field lattices

Multiplicity-free Representations of Algebraic Groups

Moments of the number of points in a bounded set for number field lattices

Almost cyclic regular semisimple elements in irreducible representations of simple algebraic groups