Crystal graphs of irreducible $\mathcal{U}_v({\widehat{\mathfrak{sl}}_e})$-modules of level two and Uglov bipartitions - Archive ouverte HAL Access content directly
Journal Articles Journal of Algebraic Combinatorics / Journal of Algebraic Combinatorics An International Journal Year : 2008

Crystal graphs of irreducible $\mathcal{U}_v({\widehat{\mathfrak{sl}}_e})$-modules of level two and Uglov bipartitions

Abstract

We give a simple description of the natural bijection between the set of FLOTW bipartitions and the set of Uglov bipartitions (which generalizes the set of Kleshchev bipartitions). These bipartitions, which label the crystal graphs of irreducible $\mathcal{U}_v({\widehat{\mathfrak{sl}}_e})$-modules of level two, naturally appear in the context of the modular representation theory of Hecke algebras of type $B_n$.
Fichier principal
Vignette du fichier
klesh2.pdf (249.87 Ko) Télécharger le fichier
Loading...

Dates and versions

hal-00084925 , version 1 (11-07-2006)

Identifiers

Cite

Nicolas Jacon. Crystal graphs of irreducible $\mathcal{U}_v({\widehat{\mathfrak{sl}}_e})$-modules of level two and Uglov bipartitions. Journal of Algebraic Combinatorics / Journal of Algebraic Combinatorics An International Journal, 2008, 27 (No. 2), pp.143-162. ⟨hal-00084925⟩
170 View
92 Download

Altmetric

Share

Gmail Facebook X LinkedIn More