C. Lecouvey

activity

20022004

most citedSchensted-type correspondences and plactic monoids for types

B_{n}

and

D_{n}

4 citations · 12 across the 6 of their papers we have counts for

collaborators

Showing math.COShow all

5 papers · 1 filter

math.CO2004★ 3 cited

Combinatorics of crystal graphs and Kostka-Foulkes polynomials for the root systems $B_{n}, C_{n}$ and $D_{n} .$

Cedric Lecouvey

We use Kashiwara-Nakashima's combinatorics of crystal graphs associated to the roots sytems $B_{n}$ and $D_{n}$ to extend the results of \QCITE{cite}{}{lec3} and \QCITE{cite}{}{Mor…

math.CO2003

Kostka-Foulkes polynomials cyclage graphs and charge statistic for the root system $C_{n}$

Cedric lecouvey

We establish a Morris type recurrence formula for the root system $C_{n}$ .\ Next we introduce cyclage graphs for the corresponding Kashiwara-Nakashima's tableaux and use them to de…

math.CO2002★ 4 cited

Schensted-type correspondences and plactic monoids for types $B_{n}$ and $D_{n}$

Cedric lecouvey

We use Kashiwara's theory of crystal bases to study plactic monoids for $U_{q} (s o_{2 n + 1})$ and $U_{q} (s o_{2 n})$ . Simultaneously we describe a Schensted type correspondence in the c…

math.CO2002★ 2 cited

Schensted type correspondence for type $G_{2}$ and computation of the canonical basis of a finite dimensional $U_{q} (G_{2})$ -module

cedric Lecouvey

We use Kang-Misra's combinatorial description of the crystal graphs for $U_{q} (G_{2})$ to introduce the plactic monoid for type $G_{2}$ . Then we describe the corresponding insertio…

math.CO2002

Schensted-type correspondence, plactic monoid and jeu de taquin for type C

Cedric Lecouvey

We use Kashiwara's theory of crystal bases to study the plactic monoid for type C. Then we describe the correponding sliding and bumping algorithms.

Combinatorics of crystal graphs and Kostka-Foulkes polynomials for the root systems Bn​,Cn​ and Dn​.

Kostka-Foulkes polynomials cyclage graphs and charge statistic for the root system Cn​

Schensted-type correspondences and plactic monoids for types Bn​ and Dn​

Schensted type correspondence for type G2​ and computation of the canonical basis of a finite dimensional Uq​(G2​)-module

Schensted-type correspondence, plactic monoid and jeu de taquin for type C

Combinatorics of crystal graphs and Kostka-Foulkes polynomials for the root systems $B_{n}, C_{n}$ and $D_{n} .$

Kostka-Foulkes polynomials cyclage graphs and charge statistic for the root system $C_{n}$

Schensted-type correspondences and plactic monoids for types $B_{n}$ and $D_{n}$

Schensted type correspondence for type $G_{2}$ and computation of the canonical basis of a finite dimensional $U_{q} (G_{2})$ -module