This article is cited in 10 papers

On the behaviour of root elements in modular representations of symplectic groups

M. V. Velichko

Institute of Mathematics of the National Academy of Sciences of Belarus

Abstract: 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 $m_{n-1}<p-1$ is described.

UDC: 512.554.32

Received: 29.06.2006