AN ALGORITHM TO CONSTRUCT THE LE DIAGRAM ASSOCIATED TO A GRASSMANN NECKLACE
Glasgow mathematical journal, Tome 62 (2020) no. 1, pp. 85-91

Voir la notice de l'article provenant de la source Cambridge

DOI

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/}
}
TY  - JOUR
AU  - AGARWALA, SUSAMA
AU  - FRYER, SIÂN
TI  - AN ALGORITHM TO CONSTRUCT THE LE DIAGRAM ASSOCIATED TO A GRASSMANN NECKLACE
JO  - Glasgow mathematical journal
PY  - 2020
SP  - 85
EP  - 91
VL  - 62
IS  - 1
UR  - http://geodesic.mathdoc.fr/articles/10.1017/S001708951800054X/
DO  - 10.1017/S001708951800054X
ID  - 10_1017_S001708951800054X
ER  - 
%0 Journal Article
%A AGARWALA, SUSAMA
%A FRYER, SIÂN
%T AN ALGORITHM TO CONSTRUCT THE LE DIAGRAM ASSOCIATED TO A GRASSMANN NECKLACE
%J Glasgow mathematical journal
%D 2020
%P 85-91
%V 62
%N 1
%U http://geodesic.mathdoc.fr/articles/10.1017/S001708951800054X/
%R 10.1017/S001708951800054X
%F 10_1017_S001708951800054X

Cité par Sources :