Geodesic
On the behaviour of root elements in modular representations of symplectic groups
Trudy Instituta matematiki, Tome 14 (2006) no. 2, pp. 28-34

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For the algebraic groups of type $C_n$, $n\ge 2$, in characteristic $p>2$ the Jordan block structure of images of long root elements in irreducible $p$-restricted representations with highest weights $m_1\omega_1+\ldots+m_n\omega_n$ and $m_{n-1}$ is described. 
@article{TIMB_2006_14_2_a3,
     author = {M. V. Velichko},
     title = {On the behaviour of root elements in modular representations of symplectic groups},
     journal = {Trudy Instituta matematiki},
     pages = {28--34},
     publisher = {mathdoc},
     volume = {14},
     number = {2},
     year = {2006},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TIMB_2006_14_2_a3/}
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M. V. Velichko. On the behaviour of root elements in modular representations of symplectic groups. Trudy Instituta matematiki, Tome 14 (2006) no. 2, pp. 28-34. http://geodesic.mathdoc.fr/item/TIMB_2006_14_2_a3/