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Oriented Lagrangian Orthogonal Matroid Representations

Richard F. Booth
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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.

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Richard F. Booth. 2000-11-09. Oriented Lagrangian Orthogonal Matroid Representations. https://arxiv.org/abs/math/0011060

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