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Bruhat decomposition for subgroups containing the group of diagonal matrices

✍ Scribed by N. A. Vavilov

Publisher: Springer US
Year: 1984
Tongue: English
Weight: 714 KB
Volume: 24
Category: Article
ISSN: 1573-8795
DOI: 10.1007/bf01094367

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For an arbitrary division algebra T we study the arrangement of subgroups of the special linear group r = SL.(T)(n 2 3) that contain the subgroup A = SD,(T) of diagonal matrices with Dieudonne's determinant (see [l]) equal to 1. We show that the description of these subgroups is standard in the foll