A construction of pseudo-reductive groups with non-reduced root system

A construction of pseudo-reductive groups with non-reduced root system

We describe a straightforward construction of the pseudo-split absolutely pseudo-simple groups of minimal type with irreducible root systems of type $BC_n$; these exist only in characteristic $2$. We also give a formula for the dimensions of their irreducible modules.

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Hauptverfasser: Bate, Michael, Röhrle, Gerhard, Sercombe, Damian, Stewart, David I
Format: Artikel
Sprache:eng
Schlagworte:
Mathematics - Group Theory
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Zusammenfassung:We describe a straightforward construction of the pseudo-split absolutely pseudo-simple groups of minimal type with irreducible root systems of type $BC_n$; these exist only in characteristic $2$. We also give a formula for the dimensions of their irreducible modules.
DOI:10.48550/arxiv.2205.00800