Elsevier

Indagationes Mathematicae

Volume 32, Issue 5, September 2021, Pages 1115-1138
Indagationes Mathematicae

Special issue to the memory of T.A. Springer
Inner ideals in Lie algebras and spherical buildings

Dedicated to the memory of my Ph.D. adviser T.A. Springer
https://doi.org/10.1016/j.indag.2021.03.007Get rights and content
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Abstract

The correspondence found by Faulkner between inner ideals of the Lie algebra of a simple algebraic group and shadows on the set of long root groups of the building associated with the algebraic group is shown to hold in greater generality (in particular, over fields of characteristic distinct from two).

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