On the caluculation of weight multiplicity

V. F. Molchanov


Abstract: 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 $G_2$.

Received: 20.11.1970

 English version: Theoretical and Mathematical Physics, 1971, 8:2, 810–812

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