Geodesic
The shifted plactic monoid (extended abstract)
Discrete mathematics & theoretical computer science, DMTCS Proceedings vol. AK, 21st International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2009), DMTCS Proceedings vol. AK, 21st International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2009) (2009).

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

We introduce a shifted analog of the plactic monoid of Lascoux and Schützenberger, the \emphshifted plactic monoid. It can be defined in two different ways: via the \emphshifted Knuth relations, or using Haiman's mixed insertion. Applications include: a new combinatorial derivation (and a new version of) the shifted Littlewood-Richardson Rule; similar results for the coefficients in the Schur expansion of a Schur P-function; a shifted counterpart of the Lascoux-Schützenberger theory of noncommutative Schur functions in plactic variables; a characterization of shifted tableau words; and more. 
@article{DMTCS_2009_special_256_a30,
     author = {Serrano, Luis},
     title = {The shifted plactic monoid (extended abstract)},
     journal = {Discrete mathematics & theoretical computer science},
     publisher = {mathdoc},
     volume = {DMTCS Proceedings vol. AK, 21st International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2009)},
     year = {2009},
     doi = {10.46298/dmtcs.2708},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.46298/dmtcs.2708/}
}
TY  - JOUR
AU  - Serrano, Luis
TI  - The shifted plactic monoid (extended abstract)
JO  - Discrete mathematics & theoretical computer science
PY  - 2009
VL  - DMTCS Proceedings vol. AK, 21st International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2009)
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/articles/10.46298/dmtcs.2708/
DO  - 10.46298/dmtcs.2708
LA  - en
ID  - DMTCS_2009_special_256_a30
ER  - 
%0 Journal Article
%A Serrano, Luis
%T The shifted plactic monoid (extended abstract)
%J Discrete mathematics & theoretical computer science
%D 2009
%V DMTCS Proceedings vol. AK, 21st International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2009)
%I mathdoc
%U http://geodesic.mathdoc.fr/articles/10.46298/dmtcs.2708/
%R 10.46298/dmtcs.2708
%G en
%F DMTCS_2009_special_256_a30
Serrano, Luis. The shifted plactic monoid (extended abstract). Discrete mathematics & theoretical computer science, DMTCS Proceedings vol. AK, 21st International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2009), DMTCS Proceedings vol. AK, 21st International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2009) (2009). doi : 10.46298/dmtcs.2708. http://geodesic.mathdoc.fr/articles/10.46298/dmtcs.2708/

Cité par Sources :