Abstract
Spherical buildings are certain combinatorial simplicial complexes introduced, at first in the language of “incidence geometries,” to provide a systematic geometric interpretation of the exceptional complex Lie groups. (The definition of a building in terms of chamber systems and definitions of the various related notions used in this introduction such as “thick,” “residue,” “rank,” “spherical,” etc. are given in Chapter 39.) Via the notion of a BN-pair, the theory turned out to apply to simple algebraic groups over an arbitrary field.
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© 2002 Springer-Verlag Berlin Heidelberg
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Tits, J., Weiss, R.M. (2002). Introduction. In: Moufang Polygons. Springer Monographs in Mathematics. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-04689-0_1
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DOI: https://doi.org/10.1007/978-3-662-04689-0_1
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