Branching rules for modular fundamental representations of symplectic groups
Abstract
Description
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.
11 pages, to be published in Bull. London Math. Soc
11 pages, to be published in Bull. London Math. Soc