Affine buildings for dihedral groups
نویسنده
چکیده
We construct rank 2 thick nondiscrete affine buildings associated with an arbitrary finite dihedral group.
منابع مشابه
Descent of affine buildings - I. Large minimal angles
In this two-part paper we prove an existence result for affine buildings arising from exceptional algebraic reductive groups. Combined with earlier results on classical groups, this gives a complete and positive answer to the conjecture concerning the existence of affine buildings arising from such groups defined over a (skew) field with a complete valuation, as proposed by Jacques Tits. This f...
متن کاملA reduction of axioms
Jacques Tits introduced the notion of a building as a geometry associated to groups of Lie type in [T1], providing new geometries associated to the exceptional groups of Lie type. In 1972, F. Bruhat and Tits [BT] developed a theory of affine buildings for the purpose of studying groups over fields having a discrete valuation, although their work applied more generally to groups over fields havi...
متن کاملAFFINE SUBGROUPS OF THE CLASSICAL GROUPS AND THEIR CHARACTER DEGREES
In this paper we describe how the degrees of the irreducible characters of the affine subgroups of the classical groups under consideration can be found inductively. In [4] Gow obtained certain character degrees for all of the affine subgroups of the classical groups. We apply the method of Fischer to the above groups and, in addition to the character degrees given in [4], we obtain some ne...
متن کاملLoop Groups and Twin Buildings
In these notes we describe some buildings related to complex Kac-Moody groups. First we describe the spherical building of SLn(C) (i.e. the projective geometry PG(Cn)) and its Veronese representation. Next we recall the construction of the affine building associated to a discrete valuation on the rational function field C(z). Then we describe the same building in terms of complex Laurent polyno...
متن کاملRegular sequences and random walks in affine buildings
— We define and characterise regular sequences in affine buildings, thereby giving the p-adic analogue of the fundamental work of Kaimanovich on regular sequences in symmetric spaces. As applications we prove limit theorems for random walks on affine buildings and their automorphism groups. Résumé. — On donne la définition et des caractérisations de suites régulières dans les immeubles affines....
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
دوره شماره
صفحات -
تاریخ انتشار 2008