Oriented Lagrangian Orthogonal Matroid Representations

Details Oriented Lagrangian Orthogonal Matroid Representations Oriented Lagrangian Orthogonal Matroid Representations

2000-11-09

arxiv.org/abs/math/0011060v1

Mathematics

Combinatorics

13 pages. To appear in the European Journal of Combinatorics

Scientific paper

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.

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