Harmonic morphisms and eigenfamilies on the exceptional Lie group G2
Jonas Nordstr\"om
TL;DR
This paper constructs harmonic morphisms on the compact Lie group G2 using eigenfamilies within a representation theoretic framework, advancing the understanding of harmonic analysis on exceptional Lie groups.
Contribution
It introduces a novel method to construct harmonic morphisms on G2 employing eigenfamilies and representation theory, which was not previously established.
Findings
Harmonic morphisms successfully constructed on G2
Eigenfamilies are effective in the construction process
Advances harmonic analysis on exceptional Lie groups
Abstract
We construct harmonic morphisms on the compact simple Lie group G2. The construction uses eigenfamilies in a representation theoretic scheme.
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Taxonomy
TopicsAdvanced Algebra and Geometry · Geometric Analysis and Curvature Flows · Geometry and complex manifolds