Mapping the geometry of the E6 group
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Publication:3544580
DOI10.1063/1.2830522zbMath1153.81321arXiv0710.0356OpenAlexW2023823078MaRDI QIDQ3544580
Antonio Scotti, Fabio Bernardoni, Bianca L. Cerchiai, Sergio Luigi Cacciatori
Publication date: 8 December 2008
Published in: Journal of Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/0710.0356
Exceptional (super)algebras (17B25) Applications of Lie groups to the sciences; explicit representations (22E70) Finite-dimensional groups and algebras motivated by physics and their representations (81R05)
Related Items (6)
Invariant differential operators for non-compact Lie algebras parabolically related to conformal Lie algebras ⋮ Non-semisimple gauging of a magical \(N = 4\) supergravity in three dimensions ⋮ On the scalar manifold of exceptional supergravity ⋮ A note on exceptional groups and Reidemeister torsion ⋮ Accelerated discovery of machine-learned symmetries: deriving the exceptional Lie groups \(G_2\), \(F_4\) and \(E_6\) ⋮ Compact Lie groups: Euler constructions and generalized Dyson conjecture
Cites Work
- The volume of a compact Lie group
- On Macdonald's formula for the volume of a compact Lie group
- Lie groups in the foundations of geometry
- Über die Topologie der Gruppen-Mannigfaltigkeiten und ihre Verallgemeinerungen
- On the Euler angles for SU(N)
- GAUGE BOSON FAMILIES IN GRAND UNIFIED THEORIES OF FERMION MASSES: $E_6^4 \rtimes S_4$
- The Exceptional Simple Lie Algebras F 4 and E 6
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