An Hoa Nguyen
Research Subjects
An Hoa Nguyen has a total of 2 co-authors. Here are the top co-authors by number of shared publications:
- Peter Littelmann
Universität zu Köln
1 shared publication - Stéphane Gaussent
Université de Lyon, Saint-Etienne, France
1 shared publication
Latest Publications
- Open Access
Knuth relations, tableaux and MV-cycles
We give a geometric interpretation of the Knuth equivalence relations in terms of the affine Gra{\ss} mann variety. The Young tableaux are seen as sequences of coweights, called galleries. We show that to any gallery corresponds a Mirkovi\'c-Vilonen cycle and that two galleries are equivalent if, and only if, their associated MV cycles are equal. Words are naturally identified to some galleries. So, as a corollary, we obtain that two words are Knuth equivalent if, and only if, their associated MV cycles are equal.
Open AccessKnuth relations, tableaux and MV-cycles
We give a geometric interpretation of the Knuth equivalence relations in terms of the affine Gra{\ss} mann variety. The Young tableaux are seen as sequences of coweights, called galleries. We show that to any gallery corresponds a Mirkovi\'c-Vilonen cycle and that two galleries are equivalent if, and only if, their associated MV cycles are equal. Words are naturally identified to some galleries. So, as a corollary, we obtain that two words are Knuth equivalent if, and only if, their associated MV cycles are equal.