Abstract
Compactifications of semisimple groups and of homogeneous spaces arise in natural ways in different branches of mathematics (enumerative algebraic geometry, noncommutative harmonic analysis, automorphic forms, etc.). The most important construction of this kind is the family of objects called the Satake boundary or the De Concini-Procesi boundary or thewonderful compactification;see [26], [7], [4], [12], and [22]. For the first time, such compactifications of the group PGLn(ℂ) (the complete collineations) and of the symmetric space PGLn(ℂ)/POn(ℂ) (the complete quadrics) were discovered by Semple [27], [28], [29].
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Neretin, Y.A. (2003). Geometry of GL n (ℂ) at Infinity: Hinges, Complete Collineations,Projective Compactifications, and Universal Boundary. In: Duval, C., Ovsienko, V., Guieu, L. (eds) The Orbit Method in Geometry and Physics. Progress in Mathematics, vol 213. Birkhäuser, Boston, MA. https://doi.org/10.1007/978-1-4612-0029-1_13
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DOI: https://doi.org/10.1007/978-1-4612-0029-1_13
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