An outline of polar spaces: basics and advances

2013/03/22 by Ilaria Cardinali, Cardinali, Ilaria
Mathematics · #51A45 #51A50 #FOS: Mathematics #Finite Group Theory Research #Rings and Algebras (math.RA) #math.RA #msc:51A45 #msc:51A50

paper · pdf · doi:10.48550/arxiv.1303.5764

arxiv created 2013/03/22 · openalex publication_date 2013/03/22 · arxiv updated 2013/03/26 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

This paper is an extended version of a series of lectures on polar spaces given during the workshop and conference 'Groups and Geometries', held at the Indian Statistical Institute in Bangalore in December 2012. The aim of this paper is to give an overview of the theory of polar spaces focusing on some research topics related to polar spaces. We survey the fundamental results about polar spaces starting from classical polar spaces. Then we introduce and report on the state of the art on the following research topics: polar spaces of infinite rank, embedding polar spaces in groups and projective embeddings of dual polar spaces.

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