-
1
-
-
0000911818
-
Hopf algebras and the quantum Yang-Baxter equation
-
V. G. Drinfeld, "Hopf algebras and the quantum Yang-Baxter equation," Sov. Math. Dokl. 32, 254-258 (1985).
-
(1985)
Sov. Math. Dokl.
, vol.32
, pp. 254-258
-
-
Drinfeld, V.G.1
-
2
-
-
0000503475
-
A new realization of Yangians and quantized affine algebras
-
V. G. Drinfeld, "A new realization of Yangians and quantized affine algebras," Sov. Math. Dokl. 36, 212-216 (1988).
-
(1988)
Sov. Math. Dokl.
, vol.36
, pp. 212-216
-
-
Drinfeld, V.G.1
-
3
-
-
84901244244
-
Quantum inverse scattering method and the Heisenberg XYZ-model
-
L. A. Takhtajan and L. D. Faddeev, "Quantum inverse scattering method and the Heisenberg XYZ-model," Russ. Math. Surv. 34, 11-68 (1979).
-
(1979)
Russ. Math. Surv.
, vol.34
, pp. 11-68
-
-
Takhtajan, L.A.1
Faddeev, L.D.2
-
4
-
-
0002280562
-
Quantum group symmetries and non-local currents in 2D QFT
-
D. Bernard and A. LeClair, "Quantum group symmetries and non-local currents in 2D QFT," Commun. Math. Phys. 142, 99-138 (1991).
-
(1991)
Commun. Math. Phys.
, vol.142
, pp. 99-138
-
-
Bernard, D.1
LeClair, A.2
-
5
-
-
0003186481
-
Quantum spectral transform method: Recent developments
-
Integrable Quantum Field Theories, Springer, Berlin
-
P. P. Kulish and E. K. Sklyanin, "Quantum spectral transform method: Recent developments," in Integrable Quantum Field Theories, Lecture Notes in Physics Vol. 151 (Springer, Berlin, 1982), pp. 61-119.
-
(1982)
Lecture Notes in Physics
, vol.151
, pp. 61-119
-
-
Kulish, P.P.1
Sklyanin, E.K.2
-
6
-
-
0031582356
-
The orthogonal eigenbasis and norms of eigenvectors in the Spin Calogero-Sutherland Model
-
K. Takemura and D. Uglov, "The orthogonal eigenbasis and norms of eigenvectors in the Spin Calogero-Sutherland Model," J. Phys. A 30, 3685-3717 (1997).
-
(1997)
J. Phys. A
, vol.30
, pp. 3685-3717
-
-
Takemura, K.1
Uglov, D.2
-
7
-
-
43949159070
-
The Yangian symmetry of the Hubbard model
-
D. B. Uglov and V. E. Korepin, "The Yangian symmetry of the Hubbard model," Phys. Lett. A 190, 238-242 (1994).
-
(1994)
Phys. Lett. A
, vol.190
, pp. 238-242
-
-
Uglov, D.B.1
Korepin, V.E.2
-
8
-
-
0001160235
-
Structure of quantum L-operators for the R-matrix of the XXZ-model
-
V. O. Tarasov, "Structure of quantum L-operators for the R-matrix of the XXZ-model," Theor. Math. Phys. 61, 1065-1071 (1984).
-
(1984)
Theor. Math. Phys.
, vol.61
, pp. 1065-1071
-
-
Tarasov, V.O.1
-
9
-
-
0001202711
-
Irreducible monodromy matrices for the R-matrix of the XXZ-model and lattice local quantum Hamiltonians
-
V. O. Tarasov, "Irreducible monodromy matrices for the R-matrix of the XXZ-model and lattice local quantum Hamiltonians," Theor. Math. Phys. 63, 440-454 (1985).
-
(1985)
Theor. Math. Phys.
, vol.63
, pp. 440-454
-
-
Tarasov, V.O.1
-
10
-
-
0039122423
-
The analysis of the bilinear relation of the six-vertex model
-
V. E. Korepin, "The analysis of the bilinear relation of the six-vertex model," Sov. Phys. Dokl. 27, 612-613 (1982).
-
(1982)
Sov. Phys. Dokl.
, vol.27
, pp. 612-613
-
-
Korepin, V.E.1
-
11
-
-
0001030032
-
Yangians and R-matrices
-
V. Chari and A. Pressley, "Yangians and R-matrices," L'Enseign. Math. 36, 267-302 (1990).
-
(1990)
L'Enseign. Math.
, vol.36
, pp. 267-302
-
-
Chari, V.1
Pressley, A.2
-
12
-
-
0002460907
-
Fundamental representations of Yangians and singularities of R-matrices
-
V. Chari and A. Pressley, "Fundamental representations of Yangians and singularities of R-matrices," J. Reine Angew. Math. 417, 87-128 (1991).
-
(1991)
J. Reine Angew. Math.
, vol.417
, pp. 87-128
-
-
Chari, V.1
Pressley, A.2
-
13
-
-
0002906539
-
Yangians: Their representations and characters
-
V. Chari and A. Pressley, "Yangians: Their representations and characters," Acta Appl. Math. 44, 39-58 (1996).
-
(1996)
Acta Appl. Math.
, vol.44
, pp. 39-58
-
-
Chari, V.1
Pressley, A.2
-
14
-
-
84972557101
-
A new interpretation of Gelfand-Tzetlin bases
-
I. V. Cherednik, "A new interpretation of Gelfand-Tzetlin bases," Duke Math. J. 54, 563-577 (1987).
-
(1987)
Duke Math. J.
, vol.54
, pp. 563-577
-
-
Cherednik, I.V.1
-
15
-
-
0009938356
-
Quantum groups as hidden symmetries of classic representation theory
-
edited by A. I. Solomon World Scientific, Singapore
-
I. V. Cherednik, "Quantum groups as hidden symmetries of classic representation theory," in Differential Geometric Methods in Physics, edited by A. I. Solomon (World Scientific, Singapore, 1989), pp. 47-54.
-
(1989)
Differential Geometric Methods in Physics
, pp. 47-54
-
-
Cherednik, I.V.1
-
16
-
-
29244467615
-
Yangians, Bethe ansatz and combinatorics
-
A. N. Kirillov and N. Yu. Reshetikhin, "Yangians, Bethe ansatz and combinatorics," Lett. Math. Phys. 12, 199-208 (1986).
-
(1986)
Lett. Math. Phys.
, vol.12
, pp. 199-208
-
-
Kirillov, A.N.1
Reshetikhin, N.Yu.2
-
17
-
-
0002426919
-
Gelfand-Tsetlin basis for representations of Yangians
-
A. Molev, "Gelfand-Tsetlin basis for representations of Yangians," Lett. Math. Phys. 30, 53-60 (1994).
-
(1994)
Lett. Math. Phys.
, vol.30
, pp. 53-60
-
-
Molev, A.1
-
18
-
-
0032221398
-
Representations of Yangians with Gelfand-Zetlin bases
-
M. Nazarov and V. Tarasov, "Representations of Yangians with Gelfand-Zetlin bases," J. Reine Angew. Math. 496, 181-212 (1998).
-
(1998)
J. Reine Angew. Math.
, vol.496
, pp. 181-212
-
-
Nazarov, M.1
Tarasov, V.2
-
19
-
-
0040446772
-
Noncommutative symmetric functions and Laplace operators for classical Lie algebras
-
A. Molev, "Noncommutative symmetric functions and Laplace operators for classical Lie algebras," Lett. Math. Phys. 35, 135-143 (1995).
-
(1995)
Lett. Math. Phys.
, vol.35
, pp. 135-143
-
-
Molev, A.1
-
20
-
-
85009822568
-
Yangians and Gelfand-Zetlin bases
-
Kyoto Univ.
-
M. Nazarov and V. Tarasov, "Yangians and Gelfand-Zetlin bases," Publ. RIMS, Kyoto Univ. 30, 459-478 (1994).
-
(1994)
Publ. RIMS
, vol.30
, pp. 459-478
-
-
Nazarov, M.1
Tarasov, V.2
-
21
-
-
0000697008
-
Quantum Berezinian and the classical Capelli identity
-
M. Nazarov, "Quantum Berezinian and the classical Capelli identity," Lett. Math. Phys. 21, 123-131 (1991).
-
(1991)
Lett. Math. Phys.
, vol.21
, pp. 123-131
-
-
Nazarov, M.1
-
22
-
-
0000096598
-
Yangians and Capelli identities
-
Kirillov's Seminar on Representation Theory, edited by G. I. Olshanski, American Mathematical Society, Providence, RI
-
M. Nazarov, "Yangians and Capelli identities," in Kirillov's Seminar on Representation Theory, edited by G. I. Olshanski, American Mathematical Society Translations Vol. 181 (American Mathematical Society, Providence, RI, 1998), pp. 139-164.
-
(1998)
American Mathematical Society Translations
, vol.181
, pp. 139-164
-
-
Nazarov, M.1
-
23
-
-
0002979621
-
Quantum immanants and higher Capelli identities
-
A. Okounkov, "Quantum immanants and higher Capelli identities," Transformation Groups 1, 99-126 (1996).
-
(1996)
Transformation Groups
, vol.1
, pp. 99-126
-
-
Okounkov, A.1
-
24
-
-
0001990494
-
Representations of infinite-dimensional classical groups, limits of enveloping algebras, and Yangians
-
Topics in Representation Theory, edited by A. A. Kirillov, American Mathematical Society, Providence, RI
-
G. Olshanski, "Representations of infinite-dimensional classical groups, limits of enveloping algebras, and Yangians," in Topics in Representation Theory, edited by A. A. Kirillov, Advances in Soviet Mathematics Vol. 2 (American Mathematical Society, Providence, RI, 1991), pp. 1-66.
-
(1991)
Advances in Soviet Mathematics
, vol.2
, pp. 1-66
-
-
Olshanski, G.1
-
25
-
-
0002309210
-
Twisted Yangians and infinite-dimensional classical Lie algebras
-
Quantum Groups, edited by P. P. Kulish, Springer, Berlin
-
G. Olshanski, "Twisted Yangians and infinite-dimensional classical Lie algebras," in Quantum Groups, edited by P. P. Kulish, Lecture Notes in Mathematics Vol. 1510 (Springer, Berlin. 1992), pp. 103-120.
-
(1992)
Lecture Notes in Mathematics
, vol.1510
, pp. 103-120
-
-
Olshanski, G.1
-
26
-
-
0012286789
-
Boundary conditions for integrable quantum systems
-
E. K. Sklyanin, "Boundary conditions for integrable quantum systems," J. Phys. A 21, 2375-2389 (1988).
-
(1988)
J. Phys. A
, vol.21
, pp. 2375-2389
-
-
Sklyanin, E.K.1
-
27
-
-
0009938357
-
Gauss hypergeometric function and quadratic R-matrix algebras
-
T. H. Koornwinder and V. B. Kuznetsov, "Gauss hypergeometric function and quadratic R-matrix algebras," St. Petersburg Math. J. 6, 161-184 (1994).
-
(1994)
St. Petersburg Math. J.
, vol.6
, pp. 161-184
-
-
Koornwinder, T.H.1
Kuznetsov, V.B.2
-
28
-
-
36149030245
-
Algebraic structures related to reflection equations
-
P. P. Kulish and E. K. Sklyanin, "Algebraic structures related to reflection equations," J. Phys. A 25, 5963-5975 (1992).
-
(1992)
J. Phys. A
, vol.25
, pp. 5963-5975
-
-
Kulish, P.P.1
Sklyanin, E.K.2
-
29
-
-
21844491009
-
New boundary conditions for integrable lattices
-
V. B. Kuznetsov, M. F. Jørgensen, and P. L. Christiansen, "New boundary conditions for integrable lattices," J. Phys. A 28, 4639 (1995).
-
(1995)
J. Phys. A
, vol.28
, pp. 4639
-
-
Kuznetsov, V.B.1
Jørgensen, M.F.2
Christiansen, P.L.3
-
30
-
-
0030491902
-
Yangians and classical Lie algebras
-
A. Molev, M. Nazarov, and G. Olshanski, "Yangians and classical Lie algebras," Russ. Math. Surveys 51, 205-282 (1996).
-
(1996)
Russ. Math. Surveys
, vol.51
, pp. 205-282
-
-
Molev, A.1
Nazarov, M.2
Olshanski, G.3
-
31
-
-
21844493424
-
Sklyanin determinant, Laplace operators, and characteristic identities for classical Lie algebras
-
A. Molev, "Sklyanin determinant, Laplace operators, and characteristic identities for classical Lie algebras," J. Math. Phys. 36, 923-943 (1995).
-
(1995)
J. Math. Phys.
, vol.36
, pp. 923-943
-
-
Molev, A.1
-
32
-
-
0030559889
-
Bethe subalgebras in twisted Yangians
-
M. Nazarov and G. Olshanski, "Bethe subalgebras in twisted Yangians," Commun. Math. Phys. 178, 483-506 (1996).
-
(1996)
Commun. Math. Phys.
, vol.178
, pp. 483-506
-
-
Nazarov, M.1
Olshanski, G.2
-
33
-
-
85033897494
-
-
(unpublished); q-alg/9712021
-
A. Molev and M. Nazarov (unpublished); q-alg/9712021.
-
-
-
Molev, A.1
Nazarov, M.2
-
34
-
-
21844485470
-
Representations of super Yangian
-
R. B. Zhang, "Representations of super Yangian," J. Math. Phys. 36, 3854-3865 (1995).
-
(1995)
J. Math. Phys.
, vol.36
, pp. 3854-3865
-
-
Zhang, R.B.1
-
35
-
-
0000377236
-
The gl(M|N) super Yangian and its finite-dimensional representations
-
R. B. Zhang, "The gl(M|N) super Yangian and its finite-dimensional representations," Lett. Math. Phys. 37, 419-434 (1996).
-
(1996)
Lett. Math. Phys.
, vol.37
, pp. 419-434
-
-
Zhang, R.B.1
-
36
-
-
0009364213
-
Representations of twisted Yangians
-
A. Molev, "Representations of twisted Yangians," Lett. Math. Phys. 26, 211-218 (1992).
-
(1992)
Lett. Math. Phys.
, vol.26
, pp. 211-218
-
-
Molev, A.1
|