scholarly journals Bounded contractions for affine buildings

2019 ◽  
Vol 148 (2) ◽  
pp. 875-883
Author(s):  
Mladen Bestvina ◽  
Gordan Savin
Keyword(s):  
Affine Buildings

scholarly journals MV-polytopes via affine buildings

2010 ◽  
Vol 155 (3) ◽  
pp. 433-482 ◽  
Author(s):  
Michael Ehrig
Keyword(s):  
Affine Buildings

scholarly journals Affine buildings for dihedral groups

2011 ◽  
Vol 156 (1) ◽  
pp. 171-207 ◽  
Author(s):  
Arkady Berenstein ◽  
Michael Kapovich
Keyword(s):  
Dihedral Groups ◽  
Affine Buildings

scholarly journals Non-discrete affine buildings and convexity

2011 ◽  
Vol 227 (1) ◽  
pp. 210-244 ◽  
Author(s):  
Petra Hitzelberger
Keyword(s):  
Affine Buildings

scholarly journals Buildings, spiders, and geometric Satake

2013 ◽  
Vol 149 (11) ◽  
pp. 1871-1912 ◽  
Author(s):  
Bruce Fontaine ◽  
Joel Kamnitzer ◽  
Greg Kuperberg
Keyword(s):  
Algebraic Group ◽  
Configuration Space ◽  
Tensor Products ◽  
Configuration Spaces ◽  
Affine Buildings ◽  
Simple Algebraic Group ◽  
Trivalent Graphs ◽  
Invariant Vectors ◽  
Invariant Spaces ◽  
The Web

AbstractLet$G$be a simple algebraic group. Labelled trivalent graphs called webs can be used to produce invariants in tensor products of minuscule representations. For each web, we construct a configuration space of points in the affine Grassmannian. Via the geometric Satake correspondence, we relate these configuration spaces to the invariant vectors coming from webs. In the case of$G= \mathrm{SL} (3)$, non-elliptic webs yield a basis for the invariant spaces. The non-elliptic condition, which is equivalent to the condition that the dual diskoid of the web is$\mathrm{CAT} (0)$, is explained by the fact that affine buildings are$\mathrm{CAT} (0)$.

scholarly journals Hyperbolic buildings, affine buildings, and automatic groups.

1995 ◽  
Vol 42 (3) ◽  
pp. 511-523 ◽  
Author(s):  
Donald I. Cartwright ◽  
Michael Shapiro
Keyword(s):  
Affine Buildings ◽  
Automatic Groups
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