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Search: All articles in the CMB digital archive with keyword building

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1. CMB 2006 (vol 49 pp. 321)

Balser, Andreas
 Polygons with Prescribed Gauss Map in Hadamard Spaces and Euclidean Buildings We show that given a stable weighted configuration on the asymptotic boundary of a locally compact Hadamard space, there is a polygon with Gauss map prescribed by the given weighted configuration. Moreover, the same result holds for semistable configurations on arbitrary Euclidean buildings. Keywords:Euclidean buildings, Hadamard spaces, polygonsCategory:53C20

2. CMB 2001 (vol 44 pp. 385)

Ballantine, Cristina M.
 A Hypergraph with Commuting Partial Laplacians Let \$F\$ be a totally real number field and let \$\GL_{n}\$ be the general linear group of rank \$n\$ over \$F\$. Let \$\mathfrak{p}\$ be a prime ideal of \$F\$ and \$F_{\mathfrak{p}}\$ the completion of \$F\$ with respect to the valuation induced by \$\mathfrak{p}\$. We will consider a finite quotient of the affine building of the group \$\GL_{n}\$ over the field \$F_{\mathfrak{p}}\$. We will view this object as a hypergraph and find a set of commuting operators whose sum will be the usual adjacency operator of the graph underlying the hypergraph. Keywords:Hecke operators, buildingsCategories:11F25, 20F32