Michael Bate, Gerhard Röhrle, Damian Sercombe, David I. Stewart
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A Construction of Pseudo-reductive Groups with Non-reduced Root Systems
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.
期刊介绍：
Transformation Groups will only accept research articles containing new results, complete Proofs, and an abstract. Topics include: Lie groups and Lie algebras; Lie transformation groups and holomorphic transformation groups; Algebraic groups; Invariant theory; Geometry and topology of homogeneous spaces; Discrete subgroups of Lie groups; Quantum groups and enveloping algebras; Group aspects of conformal field theory; Kac-Moody groups and algebras; Lie supergroups and superalgebras.
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