A Matsumoto-type theorem for Kac-Moody groups
نویسندگان
چکیده
منابع مشابه
Lattices in Kac - Moody Groups
Initially, we set out to construct non-uniform ‘arithmetic’ lattices in Kac-Moody groups of rank 2 over finite fields, as constructed by Tits ([Ti1], [Ti2]) using the BruhatTits tree of a Tits system for such groups. This attempt succeeded, and in fact, the construction we used can be applied to higher rank Kac-Moody groups over sufficiently large finite fields, and their buildings (Theorem 1.7...
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The proposed project is set in pure mathematics within the areas of infinite-dimensional Lie theory and geometric group theory. Its goal is to contribute to the structure theory of unitary forms (i.e., centralisers of Chevalley involutions) of Kac–Moody algebras and of Kac–Moody groups of indefinite type. The main emphasis of this project will be on finite-dimensional representations and on ide...
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We give the definition of a kind of building I for a symmetrizable KacMoody group over a field K endowed with a dicrete valuation and with a residue field containing C. Due to some bad properties, we call this I a hovel. Nevertheless I has some good properties, for example the existence of retractions with center a sector-germ. This enables us to generalize many results proved in the semi-simpl...
متن کاملKac-Moody groups over ultrametric fields
The Kac-Moody groups studied here are the minimal (=algebraic) and split ones, as introduced by J. Tits in [8]. When they are defined over an ultrametric field, it seems natural to associate to them some analogues of the Bruhat-Tits buildings. Actually I came to this problem when I was trying to build new buildings of nondiscrete type. If G is a Kac-Moody group over an ultrametric field K, I wa...
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ژورنال
عنوان ژورنال: Tohoku Mathematical Journal
سال: 1990
ISSN: 0040-8735
DOI: 10.2748/tmj/1178227573