Geodesic
Characters of Representations of the Quantum Toroidal Algebra $\widehat{\widehat{\mathfrak{gl}_1}}$:
Funkcionalʹnyj analiz i ego priloženiâ, Tome 48 (2014) no. 1, pp. 46-60

Voir la notice de l'article provenant de la source Math-Net.Ru

An expression for the generating function of plane partitions $a_{i,j}$ subject to the constraints $a_{m,n}=0$ and $a_{i,j}\ge k_j$, $1\le j\le n$, which is the character of an irreducible representation of the quantum toroidal algebra $\widehat{\widehat{\mathfrak{gl}_1}}$, is obtained.
Mots-clés : plane partitions
Keywords: RSK algorithm, representations of the Lie algebra. 
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     author = {G. S. Mutafyan and B. L. Feigin},
     title = {Characters of {Representations} of the {Quantum} {Toroidal} {Algebra} $\widehat{\widehat{\mathfrak{gl}_1}}$:},
     journal = {Funkcionalʹnyj analiz i ego prilo\v{z}eni\^a},
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G. S. Mutafyan; B. L. Feigin. Characters of Representations of the Quantum Toroidal Algebra $\widehat{\widehat{\mathfrak{gl}_1}}$:. Funkcionalʹnyj analiz i ego priloženiâ, Tome 48 (2014) no. 1, pp. 46-60. http://geodesic.mathdoc.fr/item/FAA_2014_48_1_a3/