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arXiv · 2211.02433

Continuous selection of Lagrangian subspaces

Ingrid Beltita·Daniel Beltita
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Abstract

We study continuous selections of the set-valued map that takes every skew-symmetric bilinear form on a vector space to its corresponding set of maximal isotropic subspaces. Applications are made to establishing continuity properties of the Vergne polarizing subalgebras of completely solvable Lie algebras in terms of Schubert cells of suitable Grassmann manifolds.

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Ingrid Beltita, Daniel Beltita. 2022-11-04. Continuous selection of Lagrangian subspaces. https://arxiv.org/abs/2211.02433

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