Orbits and characters associated with rook placements for Sylow $p$-subgroups of finite orthogonal groups

Let $U$ be a Sylow $p$-subgroup in a classical group over a finite field of characteristic $p$. The coadjoint orbits of the group $U$ play the key role in the description of irreducible complex characters of $U$. Almost all important classes of orbits and characters studied to the moment can be unif...

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Hauptverfasser:	Ignatev, Mikhail, Venchakov, Mikhail
Format:	Artikel
Sprache:	eng
Schlagworte:	Mathematics - Group Theory Mathematics - Representation Theory
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