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JOURNALS // Proceedings of the Institute of Mathematics of the NAS of Belarus // Archive

Tr. Inst. Mat., 2011 Volume 19, Number 2, Pages 7–11 (Mi timb146)

This article is cited in 2 papers

The Jordan block structure of images of long root elements in modular representations of algebraic groups of types $B_n$ and $F_4$

M. V. Velichko

Belarusian State Pedagogical University

Abstract: 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 $m_3<p-1$, in characteristic $p$ is described.

UDC: 512.554.32

Received: 12.04.2011



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