-
1
-
-
0016272054
-
An analytic generalization of the Rogers-Ramanujan identities for odd moduli
-
G.E. Andrews, "An analytic generalization of the Rogers-Ramanujan identities for odd moduli," Proc. Nat. Acad. Sci. USA 71 (1974), 4082-4085.
-
(1974)
Proc. Nat. Acad. Sci. USA
, vol.71
, pp. 4082-4085
-
-
Andrews, G.E.1
-
2
-
-
0003341319
-
The theory of partitions
-
Addison-Wesley, Reading, Massachusetts
-
G.E. Andrews, "The Theory of Partitions," Encyclopedia of Mathematics and its Applications, vol. 2 (Addison-Wesley, Reading, Massachusetts, 1976).
-
(1976)
Encyclopedia of Mathematics and Its Applications
, vol.2
-
-
Andrews, G.E.1
-
3
-
-
84972580044
-
Multiple series Rogers-Ramanujan type identities
-
G.E. Andrews, "Multiple series Rogers-Ramanujan type identities," Pacific J. Math. 114 (1984), 267-283
-
(1984)
Pacific J. Math.
, vol.114
, pp. 267-283
-
-
Andrews, G.E.1
-
4
-
-
1042287960
-
Bailey's transform, lemma, chains and tree
-
J. Bustoz et al (Eds.), Kluwer Academic Publishers, Dordrecht
-
G.E. Andrews, "Bailey's transform, lemma, chains and tree," in Special Functions 2000: Current Perspective and Future Directions, J. Bustoz et al (Eds.), (Kluwer Academic Publishers, Dordrecht, 2001), pp. 1-22.
-
(2001)
Special Functions 2000: Current Perspective and Future Directions
, pp. 1-22
-
-
Andrews, G.E.1
-
6
-
-
84960571915
-
Some identities in combinatory analysis
-
W.N. Bailey, "Some identities in combinatory analysis," Proc. London Math. Soc. 49(2) (1947), 421-435.
-
(1947)
Proc. London Math. Soc.
, vol.49
, Issue.2
, pp. 421-435
-
-
Bailey, W.N.1
-
7
-
-
84960575615
-
Identities of the Rogers-Ramanujan type
-
W.N. Bailey, "Identities of the Rogers-Ramanujan type," Proc. London Math. Soc. 50(2) (1949), 1-10.
-
(1949)
Proc. London Math. Soc.
, vol.50
, Issue.2
, pp. 1-10
-
-
Bailey, W.N.1
-
8
-
-
3943106507
-
Fermionic counting of RSOS-states and virasoro character formulas for the unitary minimal series M(v, v+1). Exact results
-
A. Berkovich, "Fermionic counting of RSOS-states and Virasoro character formulas for the unitary minimal series M(v, v+1). Exact results," Nucl. Phys. B 431 (1994), 315-348.
-
(1994)
Nucl. Phys. B.
, vol.431
, pp. 315-348
-
-
Berkovich, A.1
-
9
-
-
0011574745
-
An analytic generalization of the Rogers-Ramanujan identities with interpretation
-
D.M. Bressoud, "An analytic generalization of the Rogers-Ramanujan identities with interpretation," Quart. J. Maths. Oxford 31(2) (1980), 385-399.
-
(1980)
Quart. J. Maths. Oxford
, vol.31
, Issue.2
, pp. 385-399
-
-
Bressoud, D.M.1
-
10
-
-
0003257179
-
Subgroup lattices and symmetric functions
-
L.M. Butler, "Subgroup lattices and symmetric functions," Memoirs of the Amer. Math. Soc. 112 (1994) 539.
-
(1994)
Memoirs of the Amer. Math. Soc.
, vol.112
, pp. 539
-
-
Butler, L.M.1
-
12
-
-
0003251542
-
Young tableaux: With applications to representation theory and geometry
-
Cambridge University Press, Cambridge
-
W. Fulton, "Young tableaux: With applications to representation theory and geometry," London Math. Soc. student texts vol. 35 (Cambridge University Press, Cambridge, 1997).
-
(1997)
London Math. Soc. Student Texts
, vol.35
-
-
Fulton, W.1
-
15
-
-
0032576509
-
nmodules and inhomogeneous paths
-
[PM]
-
nmodules and inhomogeneous paths," Nucl. Phys. B 536 [PM] (1999), 575-616.
-
(1999)
Nucl. Phys. B.
, vol.536
, pp. 575-616
-
-
Hatayama, G.1
Kirillov, A.N.2
Kuniba, A.3
Okado, M.4
Takagi, T.5
Yamada, Y.6
-
16
-
-
0000140857
-
Remarks on fermionic formula
-
N. Jing and K.C. Misra (Eds.), Contemp. Math. (AMS, Providence)
-
G. Hatayama, A. Kuniba, M. Okado, T. Takagi, and Y. Yamada, "Remarks on fermionic formula," in Recent Developments in Quantum Affine Algebras and Related Topics, N. Jing and K.C. Misra (Eds.), Contemp. Math. vol. 248 (AMS, Providence, 1999), pp. 243-291.
-
(1999)
Recent Developments in Quantum Affine Algebras and Related Topics
, vol.248
, pp. 243-291
-
-
Hatayama, G.1
Kuniba, A.2
Okado, M.3
Takagi, T.4
Yamada, Y.5
-
17
-
-
34250409421
-
Infinite-dimensional lie algebras, and the Dedekind η-function
-
V.G. Kac, "Infinite-dimensional Lie algebras, and the Dedekind η-function," Functional Anal. Appl. 8 (1974), 68-70.
-
(1974)
Functional Anal. Appl.
, vol.8
, pp. 68-70
-
-
Kac, V.G.1
-
18
-
-
0002956518
-
Infinite-dimensional algebras, Dedekind's η-function, classical Möbius function and the very strange formula
-
V.G. Kac, "Infinite-dimensional algebras, Dedekind's η-function, classical Möbius function and the very strange formula," Adv. in Math. 30 (1978), 85-136.
-
(1978)
Adv. in Math.
, vol.30
, pp. 85-136
-
-
Kac, V.G.1
-
19
-
-
49149148716
-
(1) and the cube root of the modular invariant j
-
(1) and the cube root of the modular invariant j," Adv. in Math. 35 (1980), 264-273.
-
(1980)
Adv. in Math.
, vol.35
, pp. 264-273
-
-
Kac, V.G.1
-
21
-
-
0001302993
-
Infinite-dimensional lie algebras, theta functions and modular forms
-
V.G. Kac and D.H. Peterson, "Infinite-dimensional Lie algebras, theta functions and modular forms," Adv. in Math. 53 (1984), 125-264.
-
(1984)
Adv. in Math.
, vol.53
, pp. 125-264
-
-
Kac, V.G.1
Peterson, D.H.2
-
22
-
-
0000657471
-
Modular invariant representations of infinite-dimensional lie algebras and superalgebras
-
V.G. Kac and M. Wakimoto, "Modular invariant representations of infinite-dimensional Lie algebras and superalgebras," Proc. Nat. Acad. Sci. USA 85 (1988), 4956-4960.
-
(1988)
Proc. Nat. Acad. Sci. USA
, vol.85
, pp. 4956-4960
-
-
Kac, V.G.1
Wakimoto, M.2
-
23
-
-
33646887407
-
Branching functions for winding subalgebras and tensor products
-
V.G. Kac and M. Wakimoto, "Branching functions for winding subalgebras and tensor products," Acta Appl. Math. 21 (1990), 3-39.
-
(1990)
Acta Appl. Math.
, vol.21
, pp. 3-39
-
-
Kac, V.G.1
Wakimoto, M.2
-
24
-
-
0000874713
-
The Bethe Ansatz and the combinatorics of young tableaux
-
A.N. Kirillov and N. Yu. Reshetikhin, "The Bethe Ansatz and the combinatorics of Young tableaux," J. Soviet Math. 41 (1988), 925-955.
-
(1988)
J. Soviet Math.
, vol.41
, pp. 925-955
-
-
Kirillov, A.N.1
Reshetikhin, N.Yu.2
-
25
-
-
0042631718
-
A bijection between Littlewood-Richardson tableaux and rigged configurations
-
A.N. Kirillov, A. Schilling, and M. Shimozono, "A bijection between Littlewood-Richardson tableaux and rigged configurations," Selecta Math. (N.S.) 8 (2002), 67-135.
-
(2002)
Selecta Math. (N.S.)
, vol.8
, pp. 67-135
-
-
Kirillov, A.N.1
Schilling, A.2
Shimozono, M.3
-
26
-
-
31244431785
-
A generalization of the Kostka-Foulkes polynomials
-
A.N. Kirillov and M. Shimozono, "A generalization of the Kostka-Foulkes polynomials," J. Algebraic Combin 15 (2002), 27-69.
-
(2002)
J. Algebraic Combin
, vol.15
, pp. 27-69
-
-
Kirillov, A.N.1
Shimozono, M.2
-
27
-
-
0001057783
-
Characters of conformal field theories from thermodynamic Bethe ansatz
-
A. Kuniba, T. Nakanishi, and J. Suzuki, "Characters of conformal field theories from thermodynamic Bethe ansatz," Mod. Phys. Lett. A 8 (1993) 1649-1660.
-
(1993)
Mod. Phys. Lett. A.
, vol.8
, pp. 1649-1660
-
-
Kuniba, A.1
Nakanishi, T.2
Suzuki, J.3
-
28
-
-
0000062020
-
Le monoïde plaxique
-
A. de Luca (Ed.), Quad. Ricerca Sci. (CNR, Rome)
-
A. Lascoux and M.-P. Schützenberger, "Le monoïde plaxique," in Noncommutative Structures in Algebra and Geometric Combinatorics, A. de Luca (Ed.), Quad. Ricerca Sci. vol. 109, (CNR, Rome, 1981), pp. 129-156.
-
(1981)
Noncommutative Structures in Algebra and Geometric Combinatorics
, vol.109
, pp. 129-156
-
-
Lascoux, A.1
Schützenberger, M.-P.2
-
31
-
-
34250473707
-
Affine root systems and Dedekind's function
-
I.G. Macdonald, "Affine root systems and Dedekind's function," Invent. Math. 15 (1972), 91-143.
-
(1972)
Invent. Math.
, vol.15
, pp. 91-143
-
-
Macdonald, I.G.1
-
33
-
-
0345833397
-
Symmetric functions, schubert polynomials and degeneracy loci
-
L. Manivel, "Symmetric functions, Schubert polynomials and degeneracy loci," SMF/AMS Texts and Monographs, vol. 6 (2001).
-
(2001)
SMF/AMS Texts and Monographs
, vol.6
-
-
Manivel, L.1
-
34
-
-
0031572791
-
3φ2 summation theorems for U(n) basic hypergeometric series
-
3φ2 summation theorems for U(n) basic hypergeometric series," Adv. Math. 131 (1997), 93-187.
-
(1997)
Adv. Math.
, vol.131
, pp. 93-187
-
-
Milne, S.C.1
-
35
-
-
0142161619
-
Transformations of U(n + 1) multiple basic hypergeometric series
-
A.N. Kirillov et al. (Eds.), World Scientific, Singapore
-
S.C. Milne, "Transformations of U(n + 1) multiple basic hypergeometric series," in Physics and Combinatorics, A.N. Kirillov et al. (Eds.), (World Scientific, Singapore, 2001) pp. 201-243.
-
(2001)
Physics and Combinatorics
, pp. 201-243
-
-
Milne, S.C.1
-
37
-
-
0001132088
-
l Bailey transform and Bailey lemma
-
l Bailey transform and Bailey lemma," Discrete Math. 139 (1995), 319-346.
-
(1995)
Discrete Math.
, vol.139
, pp. 319-346
-
-
Milne, S.C.1
Lilly, G.M.2
-
38
-
-
0038449014
-
Crystal bases and q-identities
-
B.C. Berndt and K. Ono (Eds.), Contemp. Math. (AMS, Providence)
-
M. Okado, A. Schilling, and M. Shimozono, "Crystal bases and q-identities," in q-Series with Applications to Combinatorics, Number Theory, and Physics, B.C. Berndt and K. Ono (Eds.), Contemp. Math. vol. 291 (AMS, Providence, 2001) pp. 29-53.
-
(2001)
Q-Series with Applications to Combinatorics, Number Theory, and Physics
, vol.291
, pp. 29-53
-
-
Okado, M.1
Schilling, A.2
Shimozono, M.3
-
39
-
-
84960587118
-
Second memoir on the expansion of certain infinite products
-
L.J. Rogers, "Second memoir on the expansion of certain infinite products," Proc. London Math. Soc. 25 (1894), 318-343.
-
(1894)
Proc. London Math. Soc.
, vol.25
, pp. 318-343
-
-
Rogers, L.J.1
-
40
-
-
0007064626
-
Bosonic formula for level-restricted paths
-
K. Koikc et al. (Eds.), Adv. Studies in Pure Math. (Kinokuniya, Tokyo)
-
A. Schilling and M. Shimozono, "Bosonic formula for level-restricted paths," in Combinatorial Methods in Representation Theory, K. Koikc et al. (Eds.), Adv. Studies in Pure Math. vol. 28, (Kinokuniya, Tokyo, 2000) pp. 305-325.
-
(2000)
Combinatorial Methods in Representation Theory
, vol.28
, pp. 305-325
-
-
Schilling, A.1
Shimozono, M.2
-
41
-
-
0035534920
-
Fermionic formulas for level-restricted generalized Kostka polynomials and coset branching functions
-
A. Schilling and M. Shimozono, "Fermionic formulas for level-restricted generalized Kostka polynomials and coset branching functions," Commun. Math. Phys. 220 (2001), 105-164.
-
(2001)
Commun. Math. Phys.
, vol.220
, pp. 105-164
-
-
Schilling, A.1
Shimozono, M.2
-
42
-
-
0007261678
-
A higher level Bailey lemma: Proof and application
-
A. Schilling and S.O. Warnaar, "A higher level Bailey lemma: Proof and application," The Ramanujan Journal 2 (1998), 327-349.
-
(1998)
The Ramanujan Journal
, vol.2
, pp. 327-349
-
-
Schilling, A.1
Warnaar, S.O.2
-
43
-
-
22444451606
-
Supernormal coefficients, polynomial identities and q-series
-
A. Schilling and S.O. Warnaar, "Supernormal coefficients, polynomial identities and q-series," The Ramanujan Journal 2 (1998), 459-494.
-
(1998)
The Ramanujan Journal
, vol.2
, pp. 459-494
-
-
Schilling, A.1
Warnaar, S.O.2
-
45
-
-
0007162915
-
A generalization of the q-Saalschutz sum and the Burge transform
-
M. Kashiwara and T. Miwa (Eds.), Progress in Mathematics (Birkhauser, Boston)
-
A. Schilling and S.O. Warnaar, "A generalization of the q-Saalschutz sum and the Burge transform," in Physical Combinatorics, M. Kashiwara and T. Miwa (Eds.), Progress in Mathematics vol. 191 (Birkhauser, Boston, 2000) pp. 163-183.
-
(2000)
Physical Combinatorics
, vol.191
, pp. 163-183
-
-
Schilling, A.1
Warnaar, S.O.2
-
47
-
-
0035587356
-
A cyclage poset structure for Littlewood-Richardson tableaux
-
M. Shimozono, "A cyclage poset structure for Littlewood-Richardson tableaux," European J. Combin. 22 (2001), 365-393.
-
(2001)
European J. Combin.
, vol.22
, pp. 365-393
-
-
Shimozono, M.1
-
48
-
-
0035590576
-
Multi-atoms and monotonicity of generalized Kostka polynomials
-
M. Shimozono, "Multi-atoms and monotonicity of generalized Kostka polynomials," European J. Combin. 22 (2001), 395-414.
-
(2001)
European J. Combin.
, vol.22
, pp. 395-414
-
-
Shimozono, M.1
-
49
-
-
31244432860
-
Affine type a crystal structure on tensor products of rectangles, demazure characters, and nilpotenl varieties
-
M. Shimozono, "Affine type A crystal structure on tensor products of rectangles, Demazure characters, and nilpotenl varieties," J. Alg. Combin. 15(2002), 151-187.
-
(2002)
J. Alg. Combin.
, vol.15
, pp. 151-187
-
-
Shimozono, M.1
-
50
-
-
0034420938
-
Graded characters of modules supported in the closure of a nilpotent conjugacy class
-
M. Shimozono and J. Weyman, "Graded characters of modules supported in the closure of a nilpotent conjugacy class," European J. Combin. 21 (2000), 257-288.
-
(2000)
European J. Combin.
, vol.21
, pp. 257-288
-
-
Shimozono, M.1
Weyman, J.2
-
51
-
-
0002959773
-
Fermionic solution of the andrews-baxter-forrester model. II. Proof of melzer's polynomial identities
-
S.O. Warnaar, "Fermionic solution of the Andrews-Baxter-Forrester model. II. Proof of Melzer's polynomial identities," J. Stat. Phys. 84 (1996), 49-83.
-
(1996)
J. Stat. Phys.
, vol.84
, pp. 49-83
-
-
Warnaar, S.O.1
-
52
-
-
9144219950
-
Supernomial coefficients. Bailey's lemma and Rogers-Ramanujan-type identities. A survey of results and open problems
-
Art
-
S.O. Warnaar, "Supernomial coefficients. Bailey's lemma and Rogers-Ramanujan-type identities. A survey of results and open problems," Sém. Lothar. Combin. 42 (1999), Art. B42n, 22 pp.
-
(1999)
Sém. Lothar. Combin.
, vol.42
, Issue.B42
, pp. 22
-
-
Warnaar, S.O.1
-
53
-
-
0003197968
-
50 Years of bailey's lemma
-
A. Betten et al. (Eds.), Springer, Berlin
-
S.O. Warnaar, "50 Years of Bailey's lemma," in Algebraic Combinatorics and Applications, A. Betten et al. (Eds.), (Springer, Berlin, 2001), pp. 333-347.
-
(2001)
Algebraic Combinatorics and Applications
, pp. 333-347
-
-
Warnaar, S.O.1
|