Work

Polarities of Exceptional Geometries of Type E6

Year: 2025

Type: article

Abstract: A polarity of an exceptional geometry of type E6 is called regularif its fixed structure, viewed as a simplicial complex, is a building. Polarities that do not act trivially on the underlying field were classified a long time ago by Jacques Tits. In the present paper, we classify the regular polarities of exceptional geometries of type E6 that act trivially on the underlying (arbitrary) field. As a result, we discover new subgeometries of the exceptional geometry of type E6.

Source: Mathematics

DOI: 10.3390/math13233804

Authors: Vincent Batens, Hendrik Van Maldeghem

Institution: Ghent University

Language: English

Topic: Advanced Algebra and Geometry

Subfield: Mathematical Physics

Field: Mathematics

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $3,137

Funder: Fonds Wetenschappelijk Onderzoek