Oriented Lagrangian Orthogonal Matroid Representations
Combinatorics
2007-05-23 v1
Abstract
In this paper we extend the theory of oriented matroids to Lagrangian orthogonal matroids and their representations, and give a completely natural transformation from a representation of a classical oriented matroid to a representation of the same oriented matroid considered as a Lagrangian orthogonal matroid. Classical concepts of orientation and this extension may both be thought of as stratifications of thin Schubert cells into unions of connected components.
Cite
@article{arxiv.math/0011060,
title = {Oriented Lagrangian Orthogonal Matroid Representations},
author = {Richard F. Booth},
journal= {arXiv preprint arXiv:math/0011060},
year = {2007}
}
Comments
13 pages. To appear in the European Journal of Combinatorics