-
2
-
-
84951515986
-
Triple multiplicities for sl(r + 1) and the spectrum of the exterior algebra of the adjoint representation
-
MR 93h:17012
-
A. Berenstein and A. Zelevinsky, Triple multiplicities for sl(r + 1) and the spectrum of the exterior algebra of the adjoint representation, J. Algebraic Combinatorics 1 (1992), 7-22. MR 93h:17012.
-
(1992)
J. Algebraic Combinatorics
, vol.1
, pp. 7-22
-
-
Berenstein, A.1
Zelevinsky, A.2
-
3
-
-
0034215968
-
Multiple left regular representations generated by alternants
-
MR 2002c:05158
-
F. Bergeron, A. Garsia, and G. Tesler, Multiple left regular representations generated by alternants, J. Combinatorial Theory (A) 91 (2000), 49-83. MR 2002c:05158.
-
(2000)
J. Combinatorial Theory (A)
, vol.91
, pp. 49-83
-
-
Bergeron, F.1
Garsia, A.2
Tesler, G.3
-
4
-
-
0034390399
-
Asymptotics of Plancherel measures for symmetric groups
-
math.C0/9905032. MR 2001g:05103
-
A. Borodin, A. Okounkov, and G. Olshanski, Asymptotics of Plancherel measures for symmetric groups, J. Amer. Math. Soc. 13 (2000), 481-515, math.C0/9905032. MR 2001g:05103.
-
(2000)
J. Amer. Math. Soc.
, vol.13
, pp. 481-515
-
-
Borodin, A.1
Okounkov, A.2
Olshanski, G.3
-
5
-
-
0002438119
-
The saturation conjecture
-
after A. Knutson and T. Tao, math.C0/9810180. MR 2001g:05105
-
A. Buch, The saturation conjecture (after A. Knutson and T. Tao), Enseign. Math. 46 (2000), 43-60, math.C0/9810180. MR 2001g:05105.
-
(2000)
Enseign. Math.
, vol.46
, pp. 43-60
-
-
Buch, A.1
-
6
-
-
0000200448
-
Integrable systems and combinatorial theory
-
MR 2001g:05012
-
P. Deift, Integrable systems and combinatorial theory, Notices Amer. Math. Soc. 47 (2000), 631-640. MR 2001g:05012.
-
(2000)
Notices Amer. Math. Soc.
, vol.47
, pp. 631-640
-
-
Deift, P.1
-
7
-
-
0040808956
-
Semi-invariants of quivers and saturation for Littlewood-Richardson coefficients
-
MR 2001g:16031
-
H. Derksen and J. Weyman, Semi-invariants of quivers and saturation for Littlewood-Richardson coefficients, J. Amer. Math. Soc. 13 (2000), 467-479. MR 2001g:16031.
-
(2000)
J. Amer. Math. Soc.
, vol.13
, pp. 467-479
-
-
Derksen, H.1
Weyman, J.2
-
8
-
-
0003297366
-
Young tableaux
-
Cambridge University Press, Cambridge. MR 99f:05119
-
W. Fulton, Young Tableaux, London Mathematical Society Student Texts 35, Cambridge University Press, Cambridge, 1997. MR 99f:05119.
-
(1997)
London Mathematical Society Student Texts
, vol.35
-
-
Fulton, W.1
-
9
-
-
0034215846
-
Eigenvalues, invariant factors, highest weights, and Schubert calculus
-
math.AG/9908012. MR 2001g:15023
-
W. Fulton, Eigenvalues, invariant factors, highest weights, and Schubert calculus, Bull. Amer. Math. Soc. 37 (2000), 209-249, math.AG/9908012. MR 2001g:15023.
-
(2000)
Bull. Amer. Math. Soc.
, vol.37
, pp. 209-249
-
-
Fulton, W.1
-
10
-
-
0242480556
-
A proof of the q, t-Catalan positivity conjecture
-
to appear
-
A.M. Garsia and J. Haglund, A proof of the q, t-Catalan positivity conjecture, Discrete Math., to appear, www.math.upenn.edu/̃jhaglund.
-
Discrete Math.
-
-
Garsia, A.M.1
Haglund, J.2
-
11
-
-
0000596377
-
A remarkable q, t-Catalan sequence and q-Lagrange inversion
-
MR 97k:05208
-
A.M. Garsia and M. Haiman, A remarkable q, t-Catalan sequence and q-Lagrange inversion, J. Algebraic Combin. 5 (1996), 191-244. MR 97k:05208.
-
(1996)
J. Algebraic Combin.
, vol.5
, pp. 191-244
-
-
Garsia, A.M.1
Haiman, M.2
-
12
-
-
0027538476
-
A graded representation model for Macdonald's polynomials
-
MR 94b:05206
-
A.M. Garsia and M. Haiman, A graded representation model for Macdonald's polynomials, Proc. Nat. Acad. Sci. U.S.A. 90 (1993), 3607-3610. MR 94b:05206.
-
(1993)
Proc. Nat. Acad. Sci. U.S.A.
, vol.90
, pp. 3607-3610
-
-
Garsia, A.M.1
Haiman, M.2
-
14
-
-
0003166713
-
Symmetric functions and P-recursiveness
-
MR 91c:05190
-
I. Gessel, Symmetric functions and P-recursiveness, J. Combinatorial Theory (A) 53 (1990), 257-285. MR 91c:05190.
-
(1990)
J. Combinatorial Theory (A)
, vol.53
, pp. 257-285
-
-
Gessel, I.1
-
15
-
-
0000203379
-
An extension of Schensted's theorem
-
MR 50:6874
-
C. Greene, An extension of Schensted's theorem, Advances in Math. 14 (1974), 254-265. MR 50:6874.
-
(1974)
Advances in Math.
, vol.14
, pp. 254-265
-
-
Greene, C.1
-
16
-
-
85030939362
-
Conjectured statistics for the q, t-Catalan numbers
-
to appear
-
J. Haglund, Conjectured statistics for the q, t-Catalan numbers, Advances in Math., to appear, www.math.upenn.edu/̃jhaglund.
-
Advances in Math.
-
-
Haglund, J.1
-
17
-
-
0001185964
-
Macdonald polynomials and geometry
-
Berkeley, CA, 1996-97, L.J. Billera, et al., eds., MSRI Publ. Cambridge Univ. Press, Cambridge. MR 2001k:05203
-
M. Haiman, Macdonald polynomials and geometry, in New perspectives in algebraic combinatorics (Berkeley, CA, 1996-97) (L.J. Billera, et al., eds.), MSRI Publ. 38, Cambridge Univ. Press, Cambridge, 1999, pp. 207-254. MR 2001k:05203.
-
(1999)
New perspectives in algebraic combinatorics
, vol.38
, pp. 207-254
-
-
Haiman, M.1
-
18
-
-
0035616269
-
Hilbert schemes, polygraphs, and the Macdonald positivity conjecture
-
MR 2002c:14008
-
M. Haiman, Hilbert schemes, polygraphs, and the Macdonald positivity conjecture, J. Amer. Math. Soc. 14 (2001), 941-1006, www/math.berkeley.edu/̃mhaiman. MR 2002c:14008.
-
(2001)
J. Amer. Math. Soc.
, vol.14
, pp. 941-1006
-
-
Haiman, M.1
-
19
-
-
0012308411
-
Vanishing theorems and character formulas for the Hilbert scheme of points in the plane
-
preliminary draft; abbreviated version in, A.N. Kirillov and N. Liskova, eds., World Scientific, London
-
M. Haiman, Vanishing theorems and character formulas for the Hilbert scheme of points in the plane, preliminary draft, www/math.berkeley.edu/̃mhahaiman; abbreviated version in Physics and Combinatorics (A.N. Kirillov and N. Liskova, eds.), World Scientific, London, 2001, pp. 1-21.
-
(2001)
Physics and Combinatorics
, pp. 1-21
-
-
Haiman, M.1
-
21
-
-
0001545233
-
A few seedlings of research
-
University of California Press, Berkeley/Los Angeles. MR 53:9457
-
J.M. Hammersley, A few seedlings of research, in Proc. Sixth Berkeley Symposium on Mathematical Statistics and Probability, vol. 1, University of California Press, Berkeley/Los Angeles, 1972, pp. 345-394. MR 53:9457.
-
(1972)
Proc. Sixth Berkeley Symposium on Mathematical Statistics and Probability
, vol.1
, pp. 345-394
-
-
Hammersley, J.M.1
-
22
-
-
0001638330
-
Projections of orbits and asymptotic behavior of multiplicities for compact connected Lie groups
-
MR 84d:22019
-
G.J. Heckman, Projections of orbits and asymptotic behavior of multiplicities for compact connected Lie groups, Invent. Math. 67 (1982), 333-356. MR 84d:22019.
-
(1982)
Invent. Math.
, vol.67
, pp. 333-356
-
-
Heckman, G.J.1
-
23
-
-
0035626398
-
Discrete orthogonal polynomial ensembles and the Plancherel measure
-
math.C0/9906120. MR 20022:05188
-
K. Johansson, Discrete orthogonal polynomial ensembles and the Plancherel measure, Ann. Math. 153 (2001), 259-296, math.C0/9906120. MR 20022:05188.
-
(2001)
Ann. Math.
, vol.153
, pp. 259-296
-
-
Johansson, K.1
-
24
-
-
54649083948
-
Stable bundles, representation theory and Hermitian operators
-
MR 2000b:14054
-
A.A. Klyachko, Stable bundles, representation theory and Hermitian operators, Selecta Math. 4 (1998), 419-445. MR 2000b:14054.
-
(1998)
Selecta Math.
, vol.4
, pp. 419-445
-
-
Klyachko, A.A.1
-
25
-
-
0003657590
-
-
Addison-Wesley, Reading, Massachusetts, 1973; second edition. MR 56:4281
-
D.E. Knuth, The Art of Computer Programming, vol. 3, Sorting and Searching, Addison-Wesley, Reading, Massachusetts, 1973; second edition, 1998. MR 56:4281.
-
(1998)
The Art of Computer Programming, vol. 3, Sorting and Searching
, vol.3
-
-
Knuth, D.E.1
-
26
-
-
0033423661
-
n(ℂ) tensor products I: Proof of the saturation conjecture
-
math.RT/9807160. MR 2000c:20066
-
n(ℂ) tensor products I: Proof of the saturation conjecture, J. Amer. Math. Soc. 12 (1999), 1055-1090, math.RT/9807160. MR 2000c:20066.
-
(1999)
J. Amer. Math. Soc.
, vol.12
, pp. 1055-1090
-
-
Knutson, A.1
Tao, T.2
-
27
-
-
0001459609
-
Honeycombs and sums of Hermitian matrices
-
math.RT/0009048. MR 20022:15020
-
A. Knutson and T. Tao, Honeycombs and sums of Hermitian matrices, Notices Amer. Math. Soc. 48 (2001), 175-186, math.RT/0009048. MR 20022:15020.
-
(2001)
Notices Amer. Math. Soc.
, vol.48
, pp. 175-186
-
-
Knutson, A.1
Tao, T.2
-
28
-
-
0001345688
-
A variational problem for random Young tableaux
-
MR 98e:05108 [sic]
-
B.F. Logan and L.A. Shepp, A variational problem for random Young tableaux, Advances in Math. 26 (1977), 206-222. MR 98e:05108 [sic].
-
(1977)
Advances in Math.
, vol.26
, pp. 206-222
-
-
Logan, B.F.1
Shepp, L.A.2
-
29
-
-
0003310111
-
A new class of symmetric functions
-
Publ. I.R.M.A., Strasbourg
-
e Séminaire Lotharingien, Publ. I.R.M.A., Strasbourg, 1992, pp. 5-39.
-
(1992)
e Séminaire Lotharingien
, pp. 5-39
-
-
Macdonald, I.G.1
-
31
-
-
0030243523
-
The Hall polynomial revisited
-
MR 97j:20054
-
F.M. Maley, The Hall polynomial revisited, J. Algebra 184 (1996), 363-371. MR 97j:20054.
-
(1996)
J. Algebra
, vol.184
, pp. 363-371
-
-
Maley, F.M.1
-
32
-
-
0346385960
-
Random matrices and random permutations
-
math.C0/9903176. MR 2002c:15045
-
A. Okounkov, Random matrices and random permutations, Internat. Math. Res. Notices 2000, 1043-1095, math.C0/9903176. MR 2002c:15045.
-
(2000)
Internat. Math. Res. Notices
, pp. 1043-1095
-
-
Okounkov, A.1
-
33
-
-
0012342274
-
On a correspondence between binary trees and a certain type of permutation
-
MR 52:9675
-
D. Rotem, On a correspondence between binary trees and a certain type of permutation, Inf. Proc. Letters 4 (1975/76), 58-61. MR 52:9675.
-
(1975)
Inf. Proc. Letters
, vol.4
, pp. 58-61
-
-
Rotem, D.1
-
34
-
-
0001259916
-
Longest increasing and decreasing subsequences
-
MR 22:12047
-
C.E. Schensted, Longest increasing and decreasing subsequences, Caned. J. Math. 13 (1961), 179-192. MR 22:12047.
-
(1961)
Caned. J. Math.
, vol.13
, pp. 179-192
-
-
Schensted, C.E.1
-
36
-
-
84966235340
-
Invariants of finite groups and their applications to combinatorics
-
MR 81a:20015
-
R. Stanley, Invariants of finite groups and their applications to combinatorics, Bull. Amer. Math. Soc. (new series) 1 (1979), 475-511. MR 81a:20015.
-
(1979)
Bull. Amer. Math. Soc. (new series)
, vol.1
, pp. 475-511
-
-
Stanley, R.1
-
37
-
-
0003652674
-
-
Cambridge University Press, Cambridge. MR 2000k:05026
-
R. Stanley, Enumerative Combinatorics, vol. 2, Cambridge University Press, Cambridge, 1999. MR 2000k:05026.
-
(1999)
Enumerative Combinatorics
, vol.2
-
-
Stanley, R.1
-
39
-
-
27644532196
-
Level-spacing distributions and the Airy kernel
-
hep-th/9211141. MR 95e:82003
-
C.A. Tracy and H. Widom, Level-spacing distributions and the Airy kernel, Comm. Math. Phys. 159 (1994), 151-174, hep-th/9211141. MR 95e:82003.
-
(1994)
Comm. Math. Phys.
, vol.159
, pp. 151-174
-
-
Tracy, C.A.1
Widom, H.2
-
40
-
-
0000484380
-
Asymptotic behavior of the Planeherel measure of the symmetric group and the limit form of Young tableaux
-
A.M. Vershik and S.V. Kerov, Asymptotic behavior of the Planeherel measure of the symmetric group and the limit form of Young tableaux, Dokl. Akad. Nauk SSSR 233 (1977), 1024-1027. English translation in Soviet Math. Dokl. 18 (1977), 527-531. MR 58:562.
-
(1977)
Dokl. Akad. Nauk SSSR
, vol.233
, pp. 1024-1027
-
-
Vershik, A.M.1
Kerov, S.V.2
-
41
-
-
0000057952
-
-
MR 58:562
-
A.M. Vershik and S.V. Kerov, Asymptotic behavior of the Planeherel measure of the symmetric group and the limit form of Young tableaux, Dokl. Akad. Nauk SSSR 233 (1977), 1024-1027. English translation in Soviet Math. Dokl. 18 (1977), 527-531. MR 58:562.
-
(1977)
Soviet Math. Dokl.
, vol.18
, pp. 527-531
-
-
-
42
-
-
0011634650
-
Littlewood-Richardson semigroups
-
Berkeley, CA, 1996-97 (L.J. Billera, et al., eds.), MSRI Publ. Cambridge Univ. Press, Cambridge, math.C0/9704228. MR 2000j:05126
-
A. Zelevinsky, Littlewood-Richardson semigroups, in New perspectives in algebraic combinatorics (Berkeley, CA, 1996-97) (L.J. Billera, et al., eds.), MSRI Publ. 38, Cambridge Univ. Press, Cambridge, 1999, pp. 337-345, math.C0/9704228. MR 2000j:05126.
-
(1999)
New perspectives in algebraic combinatorics
, vol.38
, pp. 337-345
-
-
Zelevinsky, A.1
|