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Kostant function of the root system $$A_ n$$. (English. Russian original) Zbl 0542.22014
Funct. Anal. Appl. 18, 65-67 (1984); translation from Funkts. Anal. Prilozh. 18, No. 1, 76-77 (1984).
The formula for the Kostant function of the system of roots $$A_ n$$ is given in terms of certain inductively defined system of polynomials $$Q_ n(x)$$.
Reviewer: S.Prishchepionok

##### MSC:
 22E46 Semisimple Lie groups and their representations 17B20 Simple, semisimple, reductive (super)algebras
##### Keywords:
root system; symmetric group; Kostant function
Full Text:
##### References:
 [1] F. A. Berezin and I. M. Gel’fand, Tr. Mosk. Mat. Ob.,5, 311-351 (1956).
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