Journal of Soviet Mathematics

, Volume 57, Issue 6, pp 3453–3458 | Cite as

Bruhat decomposition for long root tori in Chevalley groups

  • N. A. Vavilov
  • A. A. Semenov


It is proved that all elements of a given long root torus (i.e., a one-parameter subgroup of long root semisimple elements) in a Chevalley group over a field, except for at most three, belong to the same Bruhat decomposition class.


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Copyright information

© Plenum Publishing Corporation 1991

Authors and Affiliations

  • N. A. Vavilov
  • A. A. Semenov

There are no affiliations available

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