Geodesic
The Jordan block structure of images of long root elements in modular representations of algebraic groups of types $B_n$ and~$F_4$
Trudy Instituta matematiki, Tome 19 (2011) no. 2, pp. 7-11

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For $p>2$ the Jordan block structure of images of long root elements in modular irreducible representations of algebraic groups of type $B_n$, $n>2$, and images of such elements in irreducible $p$-restricted representations of algebraic group of type $F_4$ with highest weight $m_1\omega_1+\dots+m_4\omega_4$ and $m_3$, in characteristic $p$ is described. 
@article{TIMB_2011_19_2_a1,
     author = {M. V. Velichko},
     title = {The {Jordan} block structure of images of long root elements in modular representations of algebraic groups of types $B_n$ and~$F_4$},
     journal = {Trudy Instituta matematiki},
     pages = {7--11},
     publisher = {mathdoc},
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     number = {2},
     year = {2011},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TIMB_2011_19_2_a1/}
}
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M. V. Velichko. The Jordan block structure of images of long root elements in modular representations of algebraic groups of types $B_n$ and~$F_4$. Trudy Instituta matematiki, Tome 19 (2011) no. 2, pp. 7-11. http://geodesic.mathdoc.fr/item/TIMB_2011_19_2_a1/