The decomposition of level-1 irreducible highest weight modules with respect to the level-0 actions of the quantum affine algebra $U_q^{\prime }({\widehat{sl}}_n)$

Abstract

We decompose the level-1 irreducible highest weight modules of the quantum affine algebra $U_q({\widehat{sl}}_n)$ with respect to the level-0 $U_q^{\prime }({\widehat{sl}}_n)$--action defined in q-alg/9702024. The decomposition is parameterized by the skew Young diagrams of the border strip type.

22 pages, AMSLaTeX

References in corpus (5)

• Schur duality in the toroidal setting
• Integrality of two variable Kostka functions
• Skew Young diagram method in spectral decomposition of integrable lattice models
• The trigonometric counterpart of the Haldane Shastry Model
• Level-0 structure of level-1 $U_q({\widehat{sl}}_2)$-modules and Macdonald polynomials

Cited by in corpus (4)

• Yangian actions on higher level irreducible integrable modules of affine gl(N)
• $k$-Modules over linear spaces by $n$-linear maps admitting a multiplicative basis
• Weight modules over split Lie algebras
• An integrable $U_q(\widehat{gl}(2|2){)}_1$-Model: Corner Transfer Matrices and Young Skew Diagrams