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A geometry of the generalized quadrangle (Ω,𝔏) of type O6−(2) and Lie algebras of type E6 with characteristic two.
- Source :
-
Journal of Algebra & Its Applications . Jan2020, Vol. 19 Issue 1, pN.PAG-N.PAG. 13p. - Publication Year :
- 2020
-
Abstract
- The purpose of this paper is to study certain geometric properties of generalized quadrangle (Ω , 𝔏) of type O 6 − (2). We define certain root elements which generate a Lie algebra of type E 6 (K) for fields K of characteristic two. The construction will be mainly based on the geometric properties of the generalized quadrangle (Ω , 𝔏). In fact, we will explicity construct a Chevalley base of this Lie algebra. [ABSTRACT FROM AUTHOR]
- Subjects :
- *LIE algebras
*FINITE geometries
*GEOMETRY
*LIE groups
Subjects
Details
- Language :
- English
- ISSN :
- 02194988
- Volume :
- 19
- Issue :
- 1
- Database :
- Academic Search Index
- Journal :
- Journal of Algebra & Its Applications
- Publication Type :
- Academic Journal
- Accession number :
- 141734032
- Full Text :
- https://doi.org/10.1142/S0219498820500164