Zobrazeno 1 - 10
of 33
pro vyhledávání: '"Ralf Gramlich"'
Publikováno v:
Israel Journal of Mathematics. 177:49-101
We study final group topologies and their relations to compactness properties. In particular, we are interested in situations where a colimit or direct limit is locally compact, a kω-space, or locally kω. As a first application, we show that unitar
Publikováno v:
advg. 10:505-526
Based on the first author's diploma thesis [Kurth, On a real form of E 6 and its related generalized quadrangle, 2000] we use the theories of Lie groups and of Tits buildings in order to describe a Veronese embedding of the real quadrangle of type E
Publikováno v:
Journal of Algebraic Combinatorics. 32:1-14
Based on the third author's thesis ( arXiv:0805.2403 ) in this article we complete the local recognition of commuting reflection graphs of spherical Coxeter groups arising from irreducible crystallographic root systems.
Autor:
Kristina Altmann, Ralf Gramlich
Publikováno v:
Journal of Algebraic Combinatorics. 31:547-583
Hans Cuypers (Preprint) describes a characterisation of the geometry on singular points and hyperbolic lines of a finite unitary space--the hyperbolic unitary geometry--using information about the planes. In the present article we describe an alterna
Autor:
Kristina Altmann, Ralf Gramlich
Publikováno v:
advg. 10:77-91
Let n ≥ 7 and let V be an (n + 2)-dimensional vector space endowed with an anisotropic sesquilinear form. In this article we characterise the graph whose vertices are the two-dimensional subspaces of V and in which two vertices are adjacent if and
Autor:
Ralf Gramlich, Andreas Mars
Publikováno v:
Journal of Algebra. 322(2):554-561
We use the methods developed in [Pierre-Emmanuel Caprace, “Abstract” homomorphisms of split Kac–Moody groups, Mem. Amer. Math. Soc. 198 (2009); Pierre-Emmanuel Caprace, Bernhard Muhlherr, Isomorphisms of Kac–Moody groups, Invent. Math. 161 (2
Publikováno v:
Journal of the London Mathematical Society. 79:684-700
We prove that the complex of proper non-trivial non-degenerate subspaces of a finite-dimensional vector space endowed with a non-degenerate sesquilinear form is homotopy equivalent to a wedge of spheres. Additionally, we show that the same is true fo
Autor:
Ralf Gramlich
Publikováno v:
Innov. Incidence Geom. 9, no. 1 (2009), 123-175
Geometric methods in the theory of Chevalley groups and their generalisations have made tremendous advances during the last few decades. Among the most noteworthy and influential of these advances are the systematic application of the concept of amal
Autor:
Ralf Gramlich, Simon Goodwin
Publikováno v:
Oberwolfach Reports. :2985-3028
Publikováno v:
Journal of Algebra. 316(2):591-607
In the first part [C. Bennett, R. Gramlich, C. Hoffman, S. Shpectorov, Odd-dimensional orthogonal groups as amalgams of unitary groups. Part 1: General simple connectedness, J. Algebra 312 (2007) 426–444], a characterization of central quotients of