8 citations · 10 across the 7 of their papers we have counts for
7 papers
Split buildings of type F4 in buildings of type E6
Anneleen De Schepper, N. S. Narasimha Sastry, Hendrik Van Maldeghem
A symplectic polarity of a building Δ of type E6 is a polarity whose fixed point structure is a building of type F4 containing residues isomorphic to symplectic polar spaces (i.e.,…
Maps related to polar spaces preserving a Weyl distance or an incidence condition
A. De Schepper, H. Van Maldeghem
Let and be the sets of elements of respective types and of a polar space~ of rank at least , viewed as a Tits-building. For any Weyl distance between…
Two-dimensional affine R-buildings defined by generalized polygons with non-discrete valuation
Koen Struyve, Hendrik Van Maldeghem
In this paper we complete the proof of the "equivalence" of non-discrete R-buildings of types A~_2 and C~_2, with, respectively, projective planes and generalized quadrangles with…
Generalized polygons with non-discrete valuation defined by two-dimensional affine R-buildings
Koen Struyve, Hendrik Van Maldeghem
In this paper, we show that the building at infinity of a two-dimensional affine R-building is a generalized polygon endowed with a valuation satisfying some specific axioms. Speci…
Moufang quadrangles of mixed type
Koen Struyve, Hendrik Van Maldeghem
In this paper, we present some geometric characterizations of the Moufang quadrangles of mixed type, i.e., the Moufang quadrangles all the points and lines of which are regular. Ro…
Intersections of Apartments
Peter Abramenko, Hendrik Van Maldeghem
We show that, if a building is endowed with its complete system of apartments, and if each panel is contained in at least four chambers, then the intersection of two apartments can…