Polar Spaces (Münster Lectures in Mathematics)

Polar spaces are the natural geometries for the classical groups. Due to the stunning simplicity of an axiom system found by Buekenhout and Shult, they play a central role in incidence geometry and also appear as combinatorial objects in many disciplines such as discrete mathematics, graph theory, finite geometry and coding theory. They can also be viewed as a class of spherical Tits buildings and as such were classified by Jacques Tits - using pseudo-quadratic forms and octonion algebras. Polar spaces bridge the areas of group theory, algebra, combinatorics and incidence geometry.

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