Geodesic
Large Tensor Products and Littlewood-Richardson Coefficients
Journal of Lie theory, Tome 29 (2019) no. 4, pp. 927-94
Cet article a éte moissonné depuis la source Heldermann Verlag

Voir la notice de l'article

Littlewood-Richardson coefficients describe the decomposition of tensor products of irreducible representations of a simple Lie algebra into irreducibles. Assuming the number of factors is large, one gets a measure on the space of weights. This limiting measure was extensively studied by many authors. In particular, Kerov computed the corresponding density in a special case in type A and Kuperberg gave a formula for the general case. The goal of this paper is to give a short, self-contained and pure Lie theoretic proof of the formula for the density of the limiting measure. Our approach is based on the link between the limiting measure induced by the Littlewood-Richardson coefficients and the measure defined by the weight multiplicities of the tensor products.
Classification : 17B10, 60B10
Mots-clés : Littlewood-Richardson coefficients, distributions, limit shapes 
@article{JLT_2019_29_4_JLT_2019_29_4_a1,
     author = {E. Feigin},
     title = {Large {Tensor} {Products} and {Littlewood-Richardson} {Coefficients}},
     journal = {Journal of Lie theory},
     pages = {927--94},
     year = {2019},
     volume = {29},
     number = {4},
     url = {http://geodesic.mathdoc.fr/item/JLT_2019_29_4_JLT_2019_29_4_a1/}
}
TY  - JOUR
AU  - E. Feigin
TI  - Large Tensor Products and Littlewood-Richardson Coefficients
JO  - Journal of Lie theory
PY  - 2019
SP  - 927
EP  - 94
VL  - 29
IS  - 4
UR  - http://geodesic.mathdoc.fr/item/JLT_2019_29_4_JLT_2019_29_4_a1/
ID  - JLT_2019_29_4_JLT_2019_29_4_a1
ER  - 
%0 Journal Article
%A E. Feigin
%T Large Tensor Products and Littlewood-Richardson Coefficients
%J Journal of Lie theory
%D 2019
%P 927-94
%V 29
%N 4
%U http://geodesic.mathdoc.fr/item/JLT_2019_29_4_JLT_2019_29_4_a1/
%F JLT_2019_29_4_JLT_2019_29_4_a1
E. Feigin. Large Tensor Products and Littlewood-Richardson Coefficients. Journal of Lie theory, Tome 29 (2019) no. 4, pp. 927-94. http://geodesic.mathdoc.fr/item/JLT_2019_29_4_JLT_2019_29_4_a1/