English

Inner ideals in Lie algebras and spherical buildings

Representation Theory 2020-11-02 v1

Abstract

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

Keywords

Cite

@article{arxiv.2010.15897,
  title  = {Inner ideals in Lie algebras and spherical buildings},
  author = {Arjeh M. Cohen},
  journal= {arXiv preprint arXiv:2010.15897},
  year   = {2020}
}

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26 pages