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1

A New Approach to the Representation Theory of the Symmetric Groups. II

A. M. Vershik, A. Yu. Okounkov

Journal:

Journal of Mathematical Sciences

Année:

2005

Langue:

english

Fichier:

PDF, 829 KB

english, 2005

2

Does there exist a lebesgue measure in the infinite-dimensional space?

Journal:

Proceedings of the Steklov Institute of Mathematics

Année:

2007

Langue:

english

Fichier:

PDF, 1.63 MB

english, 2007

3

A new approach to representation theory of symmetric groups

Andrei Okounkov, Anatoly Vershik

Journal:

Selecta Mathematica

Année:

1996

Langue:

english

Fichier:

PDF, 401 KB

english, 1996

4

Leonid Vital'evich Kantorovich (on the 100th anniversary of his birth)

Vershik, Anatolii M, Kutateladze, Semen S, Novikov, Sergei P

Journal:

Russian Mathematical Surveys

Année:

2012

Langue:

english

Fichier:

PDF, 659 KB

english, 2012

5

Infinite-dimensional metagonal and metaplectic groups. I. General concepts and metagonal groups

Journal:

Journal of Mathematical Sciences

Année:

1985

Langue:

english

Fichier:

PDF, 1.24 MB

english, 1985

6

On the number of convex lattice polytopes

I. Bárány, A. M. Vershik

Journal:

Geometric And Functional Analysis

Année:

1992

Langue:

english

Fichier:

PDF, 553 KB

english, 1992

7

Harmonic analysis on the infinite symmetric group

Sergei Kerov, Grigori Olshanski, Anatoly Vershik

Journal:

Inventiones mathematicae

Année:

2004

Langue:

english

Fichier:

PDF, 865 KB

english, 2004

8

Opinion

A. Vershik, A. Shen

Journal:

The Mathematical Intelligencer

Année:

1994

Langue:

english

Fichier:

PDF, 2.26 MB

english, 1994

9

The Characters of the Infinite Symmetric Group and Probability Properties of the Robinson–Schensted–Knuth Algorithm

Kerov, Sergei V., Vershik, Anatol M.

Journal:

SIAM Journal on Algebraic and Discrete Methods

Année:

1986

Langue:

english

Fichier:

PDF, 1.08 MB

english, 1986

10

Theorem on lacunary isomorphisms of monotonic sequences of partitions

Journal:

Functional Analysis and Its Applications

Année:

1968

Langue:

english

Fichier:

PDF, 305 KB

english, 1968

11

Asymptotic of the largest and the typical dimensions of irreducible representations of a symmetric group

A. M. Vershik, S. V. Kerov

Journal:

Functional Analysis and Its Applications

Année:

1985

Langue:

english

Fichier:

PDF, 766 KB

english, 1985

12

Asymptotic theory of characters of the symmetric group

A. M. Vershik, S. V. Kerov

Journal:

Functional Analysis and Its Applications

Année:

1981

Langue:

english

Fichier:

PDF, 807 KB

english, 1981

13

On a infinite-dimensional group over a finite field

A. M. Vershik, S. V. Kerov

Journal:

Functional Analysis and Its Applications

Année:

1998

Langue:

english

Fichier:

PDF, 568 KB

english, 1998

14

Mathematical Events of the Twentieth Century Volume 9 || The Generalized Shift, Transformation Operators, and Inverse Problems

Bolibruch, † A. A., Osipov, Yu. S., Sinai, Ya. G., Arnold, V. I., Bolibruch, A. A., Vershik, A. M., Manin, Yu. I., Osipov, Yu. S., Sinai, Ya.G., Tikhomirov, V.M., Faddeev, L.D., Philippov, V. B.

Année:

2006

Langue:

english

Fichier:

PDF, 265 KB

english, 2006

15

[Lecture Notes in Mathematics] Global Analysis — Studies and Applications I Volume 1108 || Classical and non-classical dynamics with constraints

Borisovich, Yurii G., Gliklikh, Yurii E., Vershik, A. M.

Année:

1984

Langue:

english

Fichier:

PDF, 1.26 MB

english, 1984

16

Dynamic theory of growth in groups: Entropy, boundaries, examples

Journal:

Russian Mathematical Surveys

Année:

2000

Langue:

english

Fichier:

PDF, 668 KB

english, 2000

17

Cohomology in nonunitary representations of semisimple Lie groups (the groupU(2, 2))

Vershik, A. M., Graev, M. I.

Journal:

Functional Analysis and Its Applications

Année:

2014

Langue:

english

Fichier:

PDF, 204 KB

english, 2014

18

THE ACTION OF PSL (2, Z ) IN R 1 IS APPROXIMABLE

Journal:

Russian Mathematical Surveys

Année:

1978

Langue:

english

Fichier:

PDF, 145 KB

english, 1978

19

[Lecture Notes in Mathematics] Global Analysis - Studies and Applications V Volume 1520 || Fuchsian systems with reducible monodromy and the Riemann-Hilbert problem

Borisovich, Yuri G., Gliklikh, Yuri E., Vershik, A. M.

Année:

1992

Langue:

english

Fichier:

PDF, 991 KB

english, 1992

20

An Infinite-Dimensional Analogue of the Lebesgue Measure and Distinguished Properties of the Gamma Process

Natalia Tsilevich, Anatoly Vershik, Marc Yor

Journal:

Journal of Functional Analysis

Année:

2001

Langue:

english

Fichier:

PDF, 366 KB

english, 2001

21

Factorial representations of path groups

S Albeverio, R Høegh-Krohn, D Testard, A Vershik

Journal:

Journal of Functional Analysis

Année:

1983

Langue:

english

Fichier:

PDF, 1.19 MB

english, 1983

22

The local stationary presentation of the alternating groups and the normal form

A. Vershik, M. Vsemirnov

Journal:

Journal of Algebra

Année:

2008

Langue:

english

Fichier:

PDF, 113 KB

english, 2008

23

Arithmetic isomorphism of hyperbolic toral automorphisms and sofic shifts

Journal:

Functional Analysis and Its Applications

Année:

1992

Langue:

english

Fichier:

PDF, 414 KB

english, 1992

24

Product of commuting spectral measures need not be countably additive

M. Sh. Birman, A. M. Vershik, M. Z. Solomyak

Journal:

Functional Analysis and Its Applications

Année:

1979

Langue:

english

Fichier:

PDF, 173 KB

english, 1979

25

Convex hulls of orbits of representations of finite groups and combinatorial optimization

A. I. Barvinok, A. M. Vershik

Journal:

Functional Analysis and Its Applications

Année:

1988

Langue:

english

Fichier:

PDF, 167 KB

english, 1988

26

Continuum of pairwise nonisomorphic diadic sequences

Journal:

Functional Analysis and Its Applications

Année:

1971

Langue:

english

Fichier:

PDF, 189 KB

english, 1971

27

Irreducible representations of the group GXand cohomologifs

A. M. Vershik, I. M. Gel'fand, M. I. Graev

Journal:

Functional Analysis and Its Applications

Année:

1974

Langue:

english

Fichier:

PDF, 227 KB

english, 1974

28

The limit shape of convex lattice polygons and related topics

Journal:

Functional Analysis and Its Applications

Année:

1994

Langue:

english

Fichier:

PDF, 654 KB

english, 1994

29

Four definitions of the scale of an automorphism

Journal:

Functional Analysis and Its Applications

Année:

1973

Langue:

english

Fichier:

PDF, 1014 KB

english, 1973

30

A commutative model of representation of the group of flows SL(2, R)Xthat is connected with a unipotent subgroup

A. M. Vershik, I. M. Gel'fand, M. I. Graev

Journal:

Functional Analysis and Its Applications

Année:

1983

Langue:

english

Fichier:

PDF, 209 KB

english, 1983

31

Locally semisimple algebras. Combinatorial theory and the K0-functor

A. M. Vershik, S. V. Kerov

Journal:

Journal of Mathematical Sciences

Année:

1987

Langue:

english

Fichier:

PDF, 2.83 MB

english, 1987

32

Bundle of nilpotent Lie algebras over a nonholonomic manifold (nilpotentization)

A. M. Vershik, V. Ya. Gershkovich

Journal:

Journal of Mathematical Sciences

Année:

1992

Langue:

english

Fichier:

PDF, 996 KB

english, 1992

33

The evolution of measures determined by the Navier-Stokes equations and on the solvability of the Cauchy problem for the Hopf statistical equation

A. M. Vershik, O. A. Ladyzhenskaya

Journal:

Journal of Mathematical Sciences

Année:

1978

Langue:

english

Fichier:

PDF, 1.17 MB

english, 1978

34

The K -functor (Grothendieck group) of the infinite symmetric group

A. M. Vershik, S. V. Kerov

Journal:

Journal of Mathematical Sciences

Année:

1985

Langue:

english

Fichier:

PDF, 1.07 MB

english, 1985

35

Algebras in plancherel duality and algebraic combinatorics

S. A. Evdokimov, I. N. Ponomarenko, A. M. Vershik

Journal:

Functional Analysis and Its Applications

Année:

1997

Langue:

english

Fichier:

PDF, 705 KB

english, 1997

36

Statistical mechanics of combinatorial partitions, and their limit shapes

Journal:

Functional Analysis and Its Applications

Année:

1996

Langue:

english

Fichier:

PDF, 1.05 MB

english, 1996

37

Combinatorial algebras and multivalued involutive groups

V. M. Buchstaber, S. A. Evdokimov, I. N. Ponomarenko, A. M. Vershik

Journal:

Functional Analysis and Its Applications

Année:

1996

Langue:

english

Fichier:

PDF, 363 KB

english, 1996

38

A Commutative Model of a Representation of the GroupO(n, 1)Xand a Generalized Lebesgue Measure in the Space of Distributions

M. I. Graev, A. M. Vershik

Journal:

Functional Analysis and Its Applications

Année:

2005

Langue:

english

Fichier:

PDF, 181 KB

english, 2005

39

Traces on infinite-dimensional brauer algebras

P. P. Nikitin, A. M. Vershik

Journal:

Functional Analysis and Its Applications

Année:

2006

Langue:

english

Fichier:

PDF, 155 KB

english, 2006

40

Krein duality, positive 2-algebras, and dilation of comultiplications

Journal:

Functional Analysis and Its Applications

Année:

2007

Langue:

english

Fichier:

PDF, 238 KB

english, 2007

41

Integral models of representations of current groups

A. M. Vershik, M. I. Graev

Journal:

Functional Analysis and Its Applications

Année:

2008

Langue:

english

Fichier:

PDF, 193 KB

english, 2008

42

Integral models of unitary representations of current groups with values in semidirect products

A. M. Vershik, M. I. Graev

Journal:

Functional Analysis and Its Applications

Année:

2008

Langue:

english

Fichier:

PDF, 194 KB

english, 2008

43

The pascal automorphism has a continuous spectrum

Journal:

Functional Analysis and Its Applications

Année:

2011

Langue:

english

Fichier:

PDF, 216 KB

english, 2011

44

Description of the characters and factor representations of the infinite symmetric inverse semigroup

A. M. Vershik, P. P. Nikitin

Journal:

Functional Analysis and Its Applications

Année:

2011

Langue:

english

Fichier:

PDF, 210 KB

english, 2011

45

On F. A. Berezin and his work on representations of current groups

Journal:

Journal of Mathematical Sciences

Année:

2007

Langue:

english

Fichier:

PDF, 109 KB

english, 2007

46

Rational approximation of maximal commutative subgroups of({GL(n,mathbb{R})})

Oleg N. Karpenkov, Anatoly M. Vershik

Journal:

Journal of Fixed Point Theory and Applications

Année:

2010

Langue:

english

Fichier:

PDF, 288 KB

english, 2010

47

Classification of Measurable Functions of Several Variables and Invariantly Distributed Random Matrices

Journal:

Functional Analysis and Its Applications

Année:

2002

Langue:

english

Fichier:

PDF, 206 KB

english, 2002

48

Asymptotics of the Uniform Measures on Simplices and Random Compositions and Partitions

A. M. Vershik, Yu. V. Yakubovich

Journal:

Functional Analysis and Its Applications

Année:

2003

Langue:

english

Fichier:

PDF, 132 KB

english, 2003

49

Special representations of the groupsU(∞, 1) andO(∞, 1) and the associated representations of the current groupsU(∞, 1)XandO(∞, 1)Xin quasi-poisson spaces

A. M. Vershik, M. I. Graev

Journal:

Functional Analysis and Its Applications

Année:

2012

Langue:

english

Fichier:

PDF, 188 KB

english, 2012

50

Geometry and dynamics of admissible metrics in measure spaces

Anatoly M. Vershik, Pavel B. Zatitskiy, Fedor V. Petrov

Journal:

Central European Journal of Mathematics

Année:

2013

Langue:

english

Fichier:

PDF, 1.03 MB

english, 2013