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

8 papers

math.RT2004★ 1 cited

A duality between $q$ -multiplicities in tensor products and $q$ -multiplicities of weights for the root systems $B, C$ or $D$

Cedric Lecouvey

Starting from Jacobi-Trudi's type determinental expressions for the Schur functions corresponding to types $B, C$ and $D,$ we define a natural $q$ -analogue of the multiplicity $[V(λ…

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.QA2002★ 2 cited

An algorithm for computing the global basis of a finite dimensional irreducible $U_{q} (s o_{2 n + 1})$ or $U_{q} (s o_{2 n})$ -module

Cedric Lecouvey

We describe a simple algorithm for computing the canonical basis of any irreducible finite-dimensional $U_{q} (s o_{2 n + 1})$ or $U_{q} (s o_{2 n})$ -module.

A duality between q-multiplicities in tensor products and q-multiplicities of weights for the root systems B,C or D

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

An algorithm for computing the global basis of a finite dimensional irreducible Uq​(so2n+1​) or Uq​(so2n​)-module

A duality between $q$ -multiplicities in tensor products and $q$ -multiplicities of weights for the root systems $B, C$ or $D$

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

An algorithm for computing the global basis of a finite dimensional irreducible $U_{q} (s o_{2 n + 1})$ or $U_{q} (s o_{2 n})$ -module