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This article is cited in 2 scientific papers (total 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.
Received: 12.04.2011
Citation:
M. V. Velichko, “The Jordan block structure of images of long root elements in modular representations of algebraic groups of types $B_n$ and $F_4$”, Tr. Inst. Mat., 19:2 (2011), 7–11
Linking options:
https://www.mathnet.ru/eng/timb146 https://www.mathnet.ru/eng/timb/v19/i2/p7
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