Geodesic
Compression of Nakajima monomials in type A and C
Journal of Algebraic Combinatorics, Tome 35 (2012) no. 4, pp. 649-690.

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Summary: We describe an explicit crystal morphism between Nakajima monomials and monomials which give a realization of crystal bases for finite dimensional irreducible modules over the quantized enveloping algebra for Lie algebras of type A and C. This morphism provides a connection between arbitrary Nakajima monomials and Kashiwara-Nakashima tableaux. This yields a translation of Nakajima monomials to the Littelmann path model. Furthermore, as an application of our results we define an insertion scheme for Nakajima monomials compatible to the insertion scheme for tableaux.
Keywords: keywords crystals, nakajima monomials, littelmann paths, insertion scheme, tableaux 
@article{JAC_2012__35_4_a0,
     author = {Meng, Matthias},
     title = {Compression of {Nakajima} monomials in type {A} and {C}},
     journal = {Journal of Algebraic Combinatorics},
     pages = {649--690},
     publisher = {mathdoc},
     volume = {35},
     number = {4},
     year = {2012},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/JAC_2012__35_4_a0/}
}
TY  - JOUR
AU  - Meng, Matthias
TI  - Compression of Nakajima monomials in type A and C
JO  - Journal of Algebraic Combinatorics
PY  - 2012
SP  - 649
EP  - 690
VL  - 35
IS  - 4
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/JAC_2012__35_4_a0/
LA  - en
ID  - JAC_2012__35_4_a0
ER  - 
%0 Journal Article
%A Meng, Matthias
%T Compression of Nakajima monomials in type A and C
%J Journal of Algebraic Combinatorics
%D 2012
%P 649-690
%V 35
%N 4
%I mathdoc
%U http://geodesic.mathdoc.fr/item/JAC_2012__35_4_a0/
%G en
%F JAC_2012__35_4_a0
Meng, Matthias. Compression of Nakajima monomials in type A and C. Journal of Algebraic Combinatorics, Tome 35 (2012) no. 4, pp. 649-690. http://geodesic.mathdoc.fr/item/JAC_2012__35_4_a0/