Affine semipolar spaces

Autor:	Mariusz Żynel, Krzysztof Prażmowski
Rok vydání:	2019
Předmět:	Pure mathematics Hyperplane Polarity (physics) Generalization Geometry and Topology Affine transformation Polar space Space (mathematics) Automorphism Mathematics::Symplectic Geometry Mathematics Symplectic geometry
Zdroj:	Journal of Geometry. 110
ISSN:	1420-8997 0047-2468
DOI:	10.1007/s00022-019-0494-y
Popis:	Deleting a hyperplane from a polar space associated with a symplectic polarity we get a specific, symplectic, affine polar space. Similar geometry, called an affine semipolar space arises as a result of generalization of the notion of an alternating form to a semiform. Some properties of these two geometries are given and their automorphism groups are characterized.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::7e77d6f42b99adf9c2b15a1711da754d https://doi.org/10.1007/s00022-019-0494-y Zobrazit plný text záznamu Full text from SpringerLink