Geodesic
Inductive systems of representations with small highest weights for~natural embeddings of symplectic groups
Trudy Instituta matematiki, Tome 22 (2014) no. 2, pp. 109-118.

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For natural embeddings of symplectic groups, inductive systems of irreducible representations where the maximum of the highest weight value on the maximal root is equal to $2$ are studied. For such embeddings of algebraic groups of type $C_n$ in characteristic $3$, the inductive system of representations generated by irreducible representations with highest weight $2\omega_n$ is determined. It is proved that any inductive system of representations of such groups consisting of representations with the value of the highest weight on the maximal root at most $2$ and containing representations with such value equal to $2$ contains the subsystem generated by the standard representations or the subsystem generated by the representations with highest weight $\omega_n$, For algebraic groups of type $C_n$ in characteristic $3$, the restrictions of certain irreducible modules to subsystem subgroups of type $C_{n-1}$ are described. 
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A. A. Osinovskaya; I. D. Suprunenko. Inductive systems of representations with small highest weights for~natural embeddings of symplectic groups. Trudy Instituta matematiki, Tome 22 (2014) no. 2, pp. 109-118. http://geodesic.mathdoc.fr/item/TIMB_2014_22_2_a10/

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