1 citations · 1 across the 11 of their papers we have counts for
12 papers
The Standard Model Gauge Group from the Exceptional Jordan Algebra
John C. Baez, Paul Schwahn
We construct the Standard Model gauge group using the exceptional Jordan algebra and its automorphism group . The group acts o…
Geometries with parallel, skew-symmetric and closed torsion
Andrei Moroianu, Paul Schwahn
We study Riemannian manifolds carrying a metric connection with parallel, skew-symmetric and closed torsion, which we call in short PSCT manifolds. We prove that PSCT manifolds alw…
Balanced subsets in root systems
Andrei Moroianu, Paul Schwahn
Balanced and well-balanced subsets of the set of positive roots of compact Lie algebras arise naturally in problems related to Hermitian and spin geometry. In this paper we compute…
Einstein metrics, their moduli spaces and stability
Paul Schwahn, Uwe Semmelmann
This survey deals with two closely connected topics: first, the stability of Einstein metrics under the Einstein-Hilbert functional, and second, their deformation theory and the st…
Formalizing a classification theorem for low-dimensional solvable Lie algebras in Lean
Viviana del Barco, Gustavo Infanti, Exequiel Rivas +1
We present a formalization, in the theorem prover Lean, of the classification of solvable Lie algebras of dimension at most three over arbitrary fields. Lie algebras are algebraic…
Sandwich operators and Einstein deformations of compact symmetric spaces related to Jordan algebras
Stuart James Hall, Paul Schwahn, Uwe Semmelmann
We study the deformability of the symmetric Einstein metrics on the spaces and , thereby concluding the problem to s…
Submersion constructions for geometries with parallel skew torsion
Andrei Moroianu, Paul Schwahn
In the absence of a de Rham decomposition theorem for geometries with torsion, we develop and unify ways to view a geometry with parallel skew torsion as the total space of a local…
On the rigidity of the complex Grassmannians
Paul Schwahn, Uwe Semmelmann
We study the integrability to second order of the infinitesimal Einstein deformations of the symmetric metric on the complex Grassmannian of -planes inside . B…
The Lichnerowicz Laplacian on normal homogeneous spaces
Paul Schwahn
We give a new formula for the Lichnerowicz Laplacian on normal homogeneous spaces in terms of Casimir operators. We derive some practical estimates and apply them to the known list…
Stability of the Non-Symmetric Space
Paul Schwahn, Uwe Semmelmann, Gregor Weingart
We prove that the normal metric on the homogeneous space is stable with respect to the Einstein-Hilbert action, thereby exhibiting the first known example of…
Coindex and rigidity of Einstein metrics on homogeneous Gray manifolds
Paul Schwahn
Any -dimensional strict nearly Kähler manifold is Einstein with positive scalar curvature. We compute the coindex of the metric with respect to the Einstein-Hilbert functional o…
Stability of Einstein metrics on symmetric spaces of compact type
Paul Schwahn
We prove the linear stability with respect to the Einstein-Hilbert action of the symmetric spaces , , and . Combined with earlier results, this res…