Buildings as Generalizations of Projective Spaces | Visualizing the Moufang Property скачать в хорошем качестве

Buildings as Generalizations of Projective Spaces | Visualizing the Moufang Property

Literature: Tits – Buildings of spherical type and finite BN-pairs Tits – Endliche Spiegelungsgruppen, die als Weylgruppen auftreten Tits, Weiss – Moufang Polygons Weiss – The Structure of Spherical Buildings Abramenko, Brown – Buildings Brown – Buildings Shult – Points and Lines If you want to support me and my work you can: become a patreon   / sirabusch   paypal me https://www.paypal.com/paypalme/sirab... gift a coffee https://ko-fi.com/sirabusch 00:00 Introduction 02:45 Goal & Motivation 04:36 Coxeter groups 07:44 Buildings 13:40 Spherical, irreducible, thick 16:33 Apartments 17:52 Moufang Buildings History & LIterature 20:30 The Usual Definition of the Moufang Property 22:35 Incidence Structures & Projective Planes 24:53 "Distance Function" for Projective Planes 27:33 Projective Spaces 30:51 "Distance Function" for Projective Spaces 32:44 The Moufang Property for Projective Spaces