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geometric flows 1hermitian reductive lie algebras 1integrable systems 1lie algebra reductions 1vortex filaments 1

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math.DG2026

Vortex Filaments in Hermitian Reductive Lie Algebras

Qing Ding, Xiayu Dong, Shiping Zhong

The paper extends the geometric theory of vortex filament dynamics from Euclidean space and Hermitian symmetric Lie algebras to the broader setting of Hermitian reductive Lie algeb…