Séminaire Lotharingien de Combinatoire, 93B.156 (2025), 12 pp.
Ryo Uchiumi
Permutation Representations of Classical Weyl Groups on mod q Lattices
Abstract.
For a given linear action of a finite group on a lattice and a positive integer q,
the mod q permutation representation is a quasi-polynomial
in q.
In this paper, we compute the multiplicity of each irreducible representation in the mod q permutation representation of a classical Weyl group on the two types of lattices, generated by the standard basis and by coroots.
Received: November 15, 2024.
Accepted: February 15, 2025.
Final version: April 1, 2025.
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