Back to Search
Start Over
FIXED POINTS OF PRINCIPAL E6-BUNDLES OVER A COMPACT ALGEBRAIC CURVE.
- Source :
-
QM - Quaestiones Mathematicae . 2024, Vol. 47 Issue 3, p501-513. 13p. - Publication Year :
- 2024
-
Abstract
- Let X be a compact algebraic curve of genus g ≥ 2. The nontrivial outer automorphism σ of the complex Lie group E6 acts on the moduli space M(E6) of principal E6-bundles over X, and this action defines an automorphism fσ of M(E6). The group H¹ (X, Z(E6)) of principal Z(E6)-bundles over X also acts on M(E6) by tensor product, Z(E6) being the center of E6, so each choice of an element L ∈ H¹ (X, Z(E6)) defines an automorphism fL of M(E6). In this paper two theorems describing the simple fixed points of the automorphism fL of M(E6) and the composition fL o fσ are proved. [ABSTRACT FROM AUTHOR]
- Subjects :
- *TENSOR products
*ALGEBRAIC curves
*AUTOMORPHISMS
*LIE groups
*AUTOMORPHISM groups
Subjects
Details
- Language :
- English
- ISSN :
- 16073606
- Volume :
- 47
- Issue :
- 3
- Database :
- Academic Search Index
- Journal :
- QM - Quaestiones Mathematicae
- Publication Type :
- Academic Journal
- Accession number :
- 177615251
- Full Text :
- https://doi.org/10.2989/16073606.2023.2229559