Nonlinear oblique projections
Representation Theory
2017-08-03 v1
Abstract
We construct nonlinear oblique projections along subalgebras of nilpotent Lie algebras in terms of the Baker-Campbell-Hausdorff multiplication. We prove that these nonlinear projections are real analytic on every Schubert cell of the Grassmann manifold whose points are the subalgebras of the nilpotent Lie algebra under consideration.
Cite
@article{arxiv.1708.00614,
title = {Nonlinear oblique projections},
author = {Ingrid Beltita and Daniel Beltita},
journal= {arXiv preprint arXiv:1708.00614},
year = {2017}
}
Comments
14 pages; to appear in Linear Algebra and its Applications