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 2002Show all

5 papers · 1 filter

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.

math.QA2002

An algorithm for computing the global basis of an irreducible $U_{q} (s p_{2 n})$ -module

Cedric Lecouvey

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

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.

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

An algorithm for computing the global basis of an irreducible Uq​(sp2n​)-module

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

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

An algorithm for computing the global basis of an irreducible $U_{q} (s p_{2 n})$ -module