nLab Anatoly Vershik

• Wikipedia entry

Selected writings

On the asymptotic number of standard Young tableaux (dimension of Specht modules) with respect to the Plancherel measure:

• Anatoly Vershik, Sergei Kerov, Asymptotic of the largest and the typical dimensions of irreducible representations of a symmetric group, Functional Analysis and Its Applications volume 19, pages 21–31 (1985) (doi:10.1007/BF01086021)

On the representation theory of the symmetric group via the Gelfand-Tsetlin basis/seminormal representation:

• Anatoly Vershik, Andrei Okounkov, A New Approach to the Representation Theory of the Symmetric Groups,

  Part I: Selecta Mathematica, New Series 2, 581-605 (arXiv:math/0503040, doi:10.1007/BF02433451); Part II (incorporates Part I in revised and improved form): Russian version: Записки научных семинаров ПОМИ 307 (2004), 57–98 (Zapiski nauchnyh seminarov POMI 307 (2004), 57–98); English version: Journal of Mathematical Sciences 131 (2005), 5471–5494 (doi:10.1007/s10958-005-0421-7)

• Anatoly Vershik, Gel’fand-Tsetlin algebras, expectations, inverse limits, Fourier analysis, pp. 619 in: Pavel Etingof, Vladimir S. Retakh, Isadore Singer (eds.) The Unity of Mathematics In Honor of the Ninetieth Birthday of I. M. Gelfand, Birkhäuser 2006 (arXiv:math/0503140, ISBN:978-0-8176-4467-3)

category: people