Branching rules for modular fundamental representations of symplectic groups

Details Branching rules for modular fundamental representations of symplectic groups Branching rules for modular fundamental representations of symplectic groups

2000-03-30

arxiv.org/abs/math/0003210v1

Mathematics

Representation Theory

11 pages, to be published in Bull. London Math. Soc

Scientific paper

In this paper branching rules for the fundamental representations of the symplectic groups in positive characteristic are found. The submodule structure of the restrictions of the fundamental modules for the group $Sp_{2n}(K)$ to the naturally embedded subgroup $Sp_{2n-2}(K)$ is determined. As a corollary, inductive systems of fundamental representations for $Sp_{\infty}(K)$ are classified. The submodule structure of the fundamental Weyl modules is refined.

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