21 citations · 32 across the 8 of their papers we have counts for
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math.RT2008
A new approach to the representation theory of the symmetric groups. IV. -graded groups and algebras
A. M. Vershik, A. N. Sergeev
We start with definitions of the general notions of the theory of -graded algebras. Then we consider theory of inductive families of -graded semisimple fini…
math.RT2006★ 1 cited
A new approach to the representation theory of the symmetric groups, III: Induced representations and the Frobenius--Young correspondence
A. Vershik
We give a new (inductive) proof of the classical Frobenius--Young correspondence between irreducible complex representations of the symmetric group and Young diagrams, using the ne…
math.RT2003
Harmonic analysis on the infinite symmetric group
Sergei Kerov, Grigori Olshanski, Anatoly Vershik
Let S be the group of finite permutations of the naturals 1,2,... The subject of the paper is harmonic analysis for the Gelfand pair (G,K), where G stands for the product of two co…