| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 6414465 | Journal of Algebra | 2015 | 17 Pages |
Abstract
We give two explicit (quadratic) presentations of the plactic monoid in row and column generators correspondingly. Then we give direct independent proofs that these presentations are Gröbner-Shirshov bases of the plactic algebra in deg-lex orderings of generators. From Composition-Diamond lemma for associative algebras it follows that the set of Young tableaux is the Knuth normal form for plactic monoid ([30], see also Ch. 5 in [32]).
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
L.A. Bokut, Yuqun Chen, Weiping Chen, Jing Li,