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JOURNALS // Zapiski Nauchnykh Seminarov POMI // Archive

Zap. Nauchn. Sem. POMI, 2008 Volume 356, Pages 159–178 (Mi znsl2113)

This article is cited in 3 papers

Regular unipotent elements from naturally embedded subgroups of rank 2 in modular representations of classical groups

A. A. Osinovskaya

Institute of Mathematics of the National Academy of Sciences of Belarus

Abstract: We study images of regular unipotent elements from naturally embedded subgroups of type $A_2$ and $B_2$ in irreducible modular representations of classical groups. For the images of such elements and representations with locally small highest weights one encounters Jordan block of all sizes of the same parity. Bibl. – 17 titles.

UDC: 512.554.32

Received: 20.03.2008


 English version:
Journal of Mathematical Sciences (New York), 2009, 156:6, 943–953

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