3 papers
math.CO2002
Lagrangian Matroids: Representations of Type
Richard F. Booth, Alexandre V. Borovik, Neil White
We introduce the concept of orientation for Lagrangian matroids represented in the flag variety of maximal isotropic subspaces of dimension N in the real vector space of dimension…
math.CO2002
Lagrangian Pairs and Lagrangian Orthogonal Matroids
Richard F. Booth, Alexandre V. Borovik, Neil White
Represented Coxeter matroids of types and , that is, symplectic and orthogonal matroids arising from totally isotropic subspaces of symplectic or (even-dimensional) orth…
math.CO2000
Oriented Lagrangian Matroids
Richard F. Booth, Alexandre V. Borovik, Israel M. Gelfand +1
In this paper we present a definition of oriented Lagrangian symplectic matroids and their representations. Classical concepts of orientation and this extension may both be thought…