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0111 · Dec 202419922001200920172026
2 results for G2-equivariant

Study of a G2G_2-equivariant octonionic operator and its right spectrum.

problem Understanding the spectrum of a G2G_2-equivariant octonionic operator.
method Computed the ordinary real spectrum and analyzed the octonionic right-eigenvalue problem using G2G_2-decomposition and residual symmetry analysis.
result Explicit spectral loci (quartic curve and circle) in each complex slice of the octonionic space.

New Lie groupoid and algebroid constructed for octonionic Hopf foliation.

problem No known Lie group action generates the singular octonionic Hopf foliation.
method Constructs a G2-equivariant Lie groupoid and Lie algebroid.
result Minimal Lie algebroid and groupoid generate the singular octonionic Hopf foliation.