Asymptotic representation theory of the symmetric group and its applications in analysis /
[Book]
S.V. Kerov ; translated by N. Tsilevich.
Providence, R.I. :
American Mathematical Society,
c2003.
xv, 201 p. :
ill. ;
27 cm.
Translations of mathematical monographs,
v. 219
0065-9282 ;
Includes bibliographical references.
Introduction -- Boundaries and dimension groups of certain graphs -- The boundary of the Young graph and the Macdonald polynomials -- The Plancherel measure of the symmetric group -- Young diagrams in problems of analysis.
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Asimptoticheskai͡a teorii͡a predstavlenii͡a simmetricheskoĭ gruppy i ee primenenii͡a v analize.