Geodesic
On the caluculation of weight multiplicity
Teoretičeskaâ i matematičeskaâ fizika, Tome 8 (1971) no. 2, pp. 251-254

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For each of the classical series of Lie algebras a recursion (in the rank) relation is given for the Kostant partition function. In addition, explicit expressions are given for the partition function of the algebra $G_2$. 
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     author = {V. F. Molchanov},
     title = {On the caluculation of weight multiplicity},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {251--254},
     publisher = {mathdoc},
     volume = {8},
     number = {2},
     year = {1971},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1971_8_2_a8/}
}
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V. F. Molchanov. On the caluculation of weight multiplicity. Teoretičeskaâ i matematičeskaâ fizika, Tome 8 (1971) no. 2, pp. 251-254. http://geodesic.mathdoc.fr/item/TMF_1971_8_2_a8/