-
1
-
-
51649132619
-
On the generating functions of totally positive sequences I
-
M. Aissen, I. J. Schoenberg, and A. M. Whitney, On the generating functions of totally positive sequences I, J. Anal. Math. 2 (1952), 93-103.
-
(1952)
J. Anal. Math.
, vol.2
, pp. 93-103
-
-
Aissen, M.1
Schoenberg, I.J.2
Whitney, A.M.3
-
2
-
-
0001800186
-
Discrete potential theory and boundaries
-
J. L. Doob, Discrete potential theory and boundaries, J. Math. Mech. 8 (1959), 433-458.
-
(1959)
J. Math. Mech.
, vol.8
, pp. 433-458
-
-
Doob, J.L.1
-
3
-
-
51649133826
-
On the generating functions of totally positive sequences II
-
A. Edrei, On the generating functions of totally positive sequences II, J. Anal. Math. 2 (1952), 104-109.
-
(1952)
J. Anal. Math.
, vol.2
, pp. 104-109
-
-
Edrei, A.1
-
4
-
-
4043114503
-
Dimensions of skew shifted Young diagrams and projective characters of the infinite symmetric group
-
Zap. Nauchn. Sem. S.-Peterburg. Otdel. Mat. Inst. Steklov. (POMI) Russian
-
V. N. Ivanov, "Dimensions of skew shifted Young diagrams and projective characters of the infinite symmetric group" in Representation Theory, Dynamical Systems, Combinatorial and Algorithmical Methods, II, Zap. Nauchn. Sem. S.-Peterburg. Otdel. Mat. Inst. Steklov. (POMI) 240 (1997), 116-136 (Russian); English transl. to appear in J. Math. Sci.
-
(1997)
Representation Theory, Dynamical Systems, Combinatorial and Algorithmical Methods, II
, vol.240
, pp. 116-136
-
-
Ivanov, V.N.1
-
5
-
-
1842777644
-
-
English transl. to appear
-
V. N. Ivanov, "Dimensions of skew shifted Young diagrams and projective characters of the infinite symmetric group" in Representation Theory, Dynamical Systems, Combinatorial and Algorithmical Methods, II, Zap. Nauchn. Sem. S.-Peterburg. Otdel. Mat. Inst. Steklov. (POMI) 240 (1997), 116-136 (Russian); English transl. to appear in J. Math. Sci.
-
J. Math. Sci.
-
-
-
6
-
-
0005784689
-
Combinatorial examples in the theory of AF-algebras
-
X, Zap. Nauchn. Sem. Leningrad Otdel. Mat. Inst. Steklov. (LOMI) Russian
-
S. V. Kerov, "Combinatorial examples in the theory of AF-algebras," in Differential Geometry, Lie Groups and Mechanics, X, Zap. Nauchn. Sem. Leningrad Otdel. Mat. Inst. Steklov. (LOMI) 172 (1989), 55-67 (Russian); English transl. in J. Sov. Math. 59 (1992), 1063-1071.
-
(1989)
Differential Geometry, Lie Groups and Mechanics
, vol.172
, pp. 55-67
-
-
Kerov, S.V.1
-
7
-
-
1842676876
-
-
English transl.
-
S. V. Kerov, "Combinatorial examples in the theory of AF-algebras," in Differential Geometry, Lie Groups and Mechanics, X, Zap. Nauchn. Sem. Leningrad Otdel. Mat. Inst. Steklov. (LOMI) 172 (1989), 55-67 (Russian); English transl. in J. Sov. Math. 59 (1992), 1063-1071.
-
(1992)
J. Sov. Math.
, vol.59
, pp. 1063-1071
-
-
-
8
-
-
0005784688
-
Generalized Hall-Littlewood symmetric functions and orthogonal polynomials
-
Representation Theory and Dynamical Systems (A. M. Vershik, ed.), Amer. Math. Soc., Providence
-
_, "Generalized Hall-Littlewood symmetric functions and orthogonal polynomials" in Representation Theory and Dynamical Systems (A. M. Vershik, ed.), Adv. Soviet Math. 9, Amer. Math. Soc., Providence, 1992, 67-94.
-
(1992)
Adv. Soviet Math.
, vol.9
, pp. 67-94
-
-
-
9
-
-
0005788560
-
The boundary of Young lattice and random Young tableaux
-
Formal Power Series and Algebraic Combinatorics (New Brunswick, NJ, 1994), Amer. Math. Soc., Providence
-
_, "The boundary of Young lattice and random Young tableaux" in Formal Power Series and Algebraic Combinatorics (New Brunswick, NJ, 1994), DIMACS Ser. Discrete Math. Theoret. Comput. Sci. 24, Amer. Math. Soc., Providence, 1996, 133-158.
-
(1996)
DIMACS Ser. Discrete Math. Theoret. Comput. Sci.
, vol.24
, pp. 133-158
-
-
-
11
-
-
0001839814
-
0-functor theory of AF-algebras)
-
Representation of Lie groups and related topics (A. M. Vershik and D. P. Zhelobenko, eds.), Gordon and Breach, New York
-
0-functor theory of AF-algebras)" in Representation of Lie groups and related topics (A. M. Vershik and D. P. Zhelobenko, eds.), Adv. Stud. Contemp. Math. 7, Gordon and Breach, New York, 1990, 39-117.
-
(1990)
Adv. Stud. Contemp. Math.
, vol.7
, pp. 39-117
-
-
Kerov, S.1
Vershik, A.2
-
12
-
-
27744507962
-
Characters, factor-representations and K-functor of the infinite symmetric group
-
Operator Algebras and Group Representations, Vol. 2, Pitman, Boston
-
_, "Characters, factor-representations and K-functor of the infinite symmetric group" in Operator Algebras and Group Representations, Vol. 2, Monogr. Stud. Math. 18, Pitman, Boston, 1980, 23-32.
-
(1980)
Monogr. Stud. Math.
, vol.18
, pp. 23-32
-
-
-
13
-
-
0001503633
-
Random partitions in population genetics
-
J. F. C. Kingman, Random partitions in population genetics, Proc. Roy. Soc. London Ser. A. 361 (1978), 1-20.
-
(1978)
Proc. Roy. Soc. London Ser. A
, vol.361
, pp. 1-20
-
-
Kingman, J.F.C.1
-
14
-
-
0000130099
-
Difference equations and symmetric polynomials defined by their zeros
-
F. Knop and S. Sahi, Difference equations and symmetric polynomials defined by their zeros, IMRN (Internat. Math. Res. Notices) 1996, 473-486.
-
IMRN (Internat. Math. Res. Notices)
, vol.1996
, pp. 473-486
-
-
Knop, F.1
Sahi, S.2
-
15
-
-
0003556131
-
-
Oxford Math. Monogr., The Clarendon Press, Oxford University Press, New York
-
I. G. Macdonald, Symmetric Functions and Hall Polynomials, 2d ed., Oxford Math. Monogr., The Clarendon Press, Oxford University Press, New York, 1995.
-
(1995)
Symmetric Functions and Hall Polynomials, 2d Ed.
-
-
Macdonald, I.G.1
-
17
-
-
1842676873
-
Projective representations of the infinite symmetric group
-
Representation Theory and Dynamical Systems (A. M. Vershik, ed.), Amer. Math. Soc., Providence
-
M. L. Nazarov, "Projective representations of the infinite symmetric group" in Representation Theory and Dynamical Systems (A. M. Vershik, ed.), Adv. Soviet Math. 9, Amer. Math. Soc., Providence, 1992, 115-130.
-
(1992)
Adv. Soviet Math.
, vol.9
, pp. 115-130
-
-
Nazarov, M.L.1
-
18
-
-
0346129894
-
Thoma's theorem and representations of infinite bisymmetric group
-
A. Okounkov, Thoma's theorem and representations of infinite bisymmetric group, Funct. Anal. Appl. 28 (1994), 101-107.
-
(1994)
Funct. Anal. Appl.
, vol.28
, pp. 101-107
-
-
Okounkov, A.1
-
19
-
-
1842777645
-
(Shifted) Macdonald polynomials: Q-integral representation and combinatorial formula
-
q-alg/9605013, to appear
-
_, (Shifted) Macdonald polynomials: q-integral representation and combinatorial formula, q-alg/9605013, to appear in Compositio Math.
-
Compositio Math.
-
-
-
20
-
-
0347640859
-
On representations of the infinite symmetric group
-
Zap. Nauchn. Sem. (POMI) Russian
-
_, "On representations of the infinite symmetric group" in Representation Theory, Dynamical Systems, Combinatorial and Algorithmical Methods, II, Zap. Nauchn. Sem. (POMI) 240 (1997), 167-229 (Russian); English transl. to appear in J. Math. Sci.
-
(1997)
Representation Theory, Dynamical Systems, Combinatorial and Algorithmical Methods, II
, vol.240
, pp. 167-229
-
-
-
21
-
-
1842827978
-
-
English transl. to appear
-
_, "On representations of the infinite symmetric group" in Representation Theory, Dynamical Systems, Combinatorial and Algorithmical Methods, II, Zap. Nauchn. Sem. (POMI) 240 (1997), 167-229 (Russian); English transl. to appear in J. Math. Sci.
-
J. Math. Sci.
-
-
-
22
-
-
0003337923
-
Shifted Schur functions
-
Russian
-
A. Okounkov and G. Olshanski, Shifted Schur functions, Algebra i Analiz 9 (1997), 73-146 (Russian); English version to appear in St. Petersburg Math. J. 9 (1998).
-
(1997)
Algebra i Analiz
, vol.9
, pp. 73-146
-
-
Okounkov, A.1
Olshanski, G.2
-
23
-
-
1842777647
-
-
English version to appear
-
A. Okounkov and G. Olshanski, Shifted Schur functions, Algebra i Analiz 9 (1997), 73-146 (Russian); English version to appear in St. Petersburg Math. J. 9 (1998).
-
(1998)
St. Petersburg Math. J.
, vol.9
-
-
-
24
-
-
0031286860
-
Shifted Jack polynomials, binomial formula, and applications
-
_, Shifted Jack polynomials, binomial formula, and applications, Math. Res. Lett. 4 (1997), 69-78.
-
(1997)
Math. Res. Lett.
, vol.4
, pp. 69-78
-
-
-
25
-
-
0011022325
-
Unitary representations of (G, K)-pairs connected with the infinite symmetric group S(∞)
-
G. I. Olshanski, Unitary representations of (G, K)-pairs connected with the infinite symmetric group S(∞), Leningrad Math. J. 1 (1990), 983-1014.
-
(1990)
Leningrad Math. J.
, vol.1
, pp. 983-1014
-
-
Olshanski, G.I.1
-
26
-
-
45249131043
-
Some combinatorial properties of Jack symmetric functions
-
R. P. Stanley, Some combinatorial properties of Jack symmetric functions, Adv. Math. 77 (1989), 76-115.
-
(1989)
Adv. Math.
, vol.77
, pp. 76-115
-
-
Stanley, R.P.1
-
27
-
-
0002043076
-
Die unzerlegbaren, positiv-definiten Klassenfunktionen der abzählbar unendlichen, symmetrischen Gruppe
-
E. Thoma, Die unzerlegbaren, positiv-definiten Klassenfunktionen der abzählbar unendlichen, symmetrischen Gruppe, Math. Z. 85 (1964), 40-61.
-
(1964)
Math. Z.
, vol.85
, pp. 40-61
-
-
Thoma, E.1
-
28
-
-
34250241244
-
Asymptotic character theory of the symmetric group
-
A. M. Vershik and S. V. Kerov, Asymptotic character theory of the symmetric group, Funct. Anal. Appl. 15 (1981), 246-255.
-
(1981)
Funct. Anal. Appl.
, vol.15
, pp. 246-255
-
-
Vershik, A.M.1
Kerov, S.V.2
|