Continuous selection of Lagrangian subspaces
Representation Theory
2022-11-07 v1
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.
Cite
@article{arxiv.2211.02433,
title = {Continuous selection of Lagrangian subspaces},
author = {Ingrid Beltita and Daniel Beltita},
journal= {arXiv preprint arXiv:2211.02433},
year = {2022}
}
Comments
22 pages