AN ALGORITHM TO CONSTRUCT THE LE DIAGRAM ASSOCIATED TO A GRASSMANN NECKLACE
Glasgow mathematical journal, Tome 62 (2020) no. 1, pp. 85-91
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Le diagrams and Grassmann necklaces both index the collection of positroids in the nonnegative Grassmannian Gr≥0(k, n), but they excel at very different tasks: for example, the dimension of a positroid is easily extracted from its Le diagram, while the list of bases of a positroid is far more easily obtained from its Grassmann necklace. Explicit bijections between the two are, therefore, desirable. An algorithm for turning a Le diagram into a Grassmann necklace already exists; in this note, we give the reverse algorithm.
AGARWALA, SUSAMA; FRYER, SIÂN. AN ALGORITHM TO CONSTRUCT THE LE DIAGRAM ASSOCIATED TO A GRASSMANN NECKLACE. Glasgow mathematical journal, Tome 62 (2020) no. 1, pp. 85-91. doi: 10.1017/S001708951800054X
@article{10_1017_S001708951800054X,
author = {AGARWALA, SUSAMA and FRYER, SI\^AN},
title = {AN {ALGORITHM} {TO} {CONSTRUCT} {THE} {LE} {DIAGRAM} {ASSOCIATED} {TO} {A} {GRASSMANN} {NECKLACE}},
journal = {Glasgow mathematical journal},
pages = {85--91},
year = {2020},
volume = {62},
number = {1},
doi = {10.1017/S001708951800054X},
url = {http://geodesic.mathdoc.fr/articles/10.1017/S001708951800054X/}
}
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