This paper is an extended version of a series of lectures on polar spaces given during the workshop and conference \lq Groups and Geometries\rq\, held at the Indian Statistical Institute in Bangalore in December 2012. We firstly give a concise exposition of the theory of polar spaces, ending up with the classification of polar spaces of rank at least $3$. Then we present a few related research topics, as polar spaces of infinite rank, non-linear embeddings of polar spaces, projective embeddings of dual polar spaces and polar grassmannians.

Cardinali, I. (2014). An outline of polar spaces: basics and advances. In Workshop and Conference on Groups and GeometriesGroups of Exceptional Type, Coxeter Groups and Related Geometries (pp. 41-74). Bangalore : N.N.Sastry [10.1007/978-81-322-1814-2].

An outline of polar spaces: basics and advances

CARDINALI, ILARIA
2014-01-01

Abstract

This paper is an extended version of a series of lectures on polar spaces given during the workshop and conference \lq Groups and Geometries\rq\, held at the Indian Statistical Institute in Bangalore in December 2012. We firstly give a concise exposition of the theory of polar spaces, ending up with the classification of polar spaces of rank at least $3$. Then we present a few related research topics, as polar spaces of infinite rank, non-linear embeddings of polar spaces, projective embeddings of dual polar spaces and polar grassmannians.
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Cardinali, I. (2014). An outline of polar spaces: basics and advances. In Workshop and Conference on Groups and GeometriesGroups of Exceptional Type, Coxeter Groups and Related Geometries (pp. 41-74). Bangalore : N.N.Sastry [10.1007/978-81-322-1814-2].
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11365/45582
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