-
1
-
-
0001425208
-
Universal solutions of quantum dynamical Yang-Baxter equation
-
1. Arnaudon, D., Buffenoir, E., Ragoucy, E., and Roche, Ph.: Universal solutions of quantum dynamical Yang-Baxter equation. Lett. Math. Phys. 44, 201-214 (1998)
-
(1998)
Lett. Math. Phys.
, vol.44
, pp. 201-214
-
-
Arnaudon, D.1
Buffenoir, E.2
Ragoucy, E.3
Roche, Ph.4
-
2
-
-
0010118968
-
The Gervais-Neveu-Felder equation and the quantum Calogero-Moser systems
-
2. Avan, J., Babelon, O., and Billey, E.: The Gervais-Neveu-Felder equation and the quantum Calogero-Moser systems. Commun. Math. Phys. 178, 281-299 (1996)
-
(1996)
Commun. Math. Phys.
, vol.178
, pp. 281-299
-
-
Avan, J.1
Babelon, O.2
Billey, E.3
-
3
-
-
0001181936
-
Universal exchange algebra for Bloch waves and Liouville theory
-
3. Babelon, O.: Universal exchange algebra for Bloch waves and Liouville theory. Commun. Math. Phys. 139, 619-643 (1991)
-
(1991)
Commun. Math. Phys.
, vol.139
, pp. 619-643
-
-
Babelon, O.1
-
4
-
-
0002833628
-
A quasi-Hopf algebra interpretation of quantum 3j and 6j symbols and difference equations
-
4. Babelon, O., Bernard, D. and Billey, E.: A quasi-Hopf algebra interpretation of quantum 3j and 6j symbols and difference equations. Phys. Lett. B 375, 89-97 ( 1996)
-
(1996)
Phys. Lett. B
, vol.375
, pp. 89-97
-
-
Babelon, O.1
Bernard, D.2
Billey, E.3
-
5
-
-
0032159716
-
Equation de Yang-Baxter dynamique classique et algébroïdes de Lie
-
5. Bangoura, M. and Kosmann-Schwarzbach, Y.: Equation de Yang-Baxter dynamique classique et algébroïdes de Lie. C. R. Acad. Sci. Paris, Série I 327, 541-546 (1998)
-
(1998)
C. R. Acad. Sci. Paris, Série I
, vol.327
, pp. 541-546
-
-
Bangoura, M.1
Kosmann-Schwarzbach, Y.2
-
6
-
-
33744769996
-
Deformation theory and quantization, I and II
-
6. Bayen, F., Flato, M., Frønsdal, C., Lichnerowicz, A., and Sternheimer, D.: Deformation theory and quantization, I and II. Ann. Phys. 111, 61-151 (1977)
-
(1977)
Ann. Phys.
, vol.111
, pp. 61-151
-
-
Bayen, F.1
Flato, M.2
Frønsdal, C.3
Lichnerowicz, A.4
Sternheimer, D.5
-
7
-
-
0002722894
-
Groupoïdes symplectiques
-
7. Coste, A., Dazord, P. and Weinstein, A.: Groupoïdes symplectiques. Publications du Département de Mathématiques de l'Université de Lyon, I, 2/A, 1-65 (1987)
-
(1987)
Publications du Département de Mathématiques de l'Université de Lyon
, vol.1-2 A
, pp. 1-65
-
-
Coste, A.1
Dazord, P.2
Weinstein, A.3
-
8
-
-
0000275115
-
Catégories tannakiennes
-
The Grothendieck Festschrift, Boston, MA: Birkhauser Boston, 87
-
8. Deligne, P.: Catégories tannakiennes, The Grothendieck Festschrift, Vol. II, Progress in Math., 87, Boston, MA: Birkhauser Boston, 111-195 (1990)
-
(1990)
Progress in Math.
, vol.2
, pp. 111-195
-
-
Deligne, P.1
-
10
-
-
0000843581
-
On constant quasiclassical solutions of the quantum Yang-Baxter equation
-
10. Drinfel'd, V.G.: On constant quasiclassical solutions of the quantum Yang-Baxter equation. Soviet Math. Dokl. 28, 667-671 (1983)
-
(1983)
Soviet Math. Dokl.
, vol.28
, pp. 667-671
-
-
Drinfel'd, V.G.1
-
11
-
-
0001754777
-
Quasi-Hopf algebras
-
11. Drinfel'd, V.G.: Quasi-Hopf algebras. Leningrad Math. J. 2, 829-860 (1991)
-
(1991)
Leningrad Math. J.
, vol.2
, pp. 829-860
-
-
Drinfel'd, V.G.1
-
13
-
-
0040214487
-
Explicit quantization of dynamical r-matrices for finite dimensional semisimple Lie algebras
-
13. Etingof, P., Schedler, T. and Schiffmann, O.: Explicit quantization of dynamical r-matrices for finite dimensional semisimple Lie algebras. J. Am. Math. Soc. 13, 595-609 (2000)
-
(2000)
J. Am. Math. Soc.
, vol.13
, pp. 595-609
-
-
Etingof, P.1
Schedler, T.2
Schiffmann, O.3
-
14
-
-
0032023960
-
Geometry and classification of solutions of the classical dynamical Yang-Baxter equation
-
14. Etingof, P. and Varchenko, A.: Geometry and classification of solutions of the classical dynamical Yang-Baxter equation. Commun. Math. Phys. 192, 77-120 (1998)
-
(1998)
Commun. Math. Phys.
, vol.192
, pp. 77-120
-
-
Etingof, P.1
Varchenko, A.2
-
15
-
-
0032168163
-
Solutions of the quantum dynamical Yang-Baxter equation and dynamical quantum groups
-
15. Etingof, P. and Varchenko, A.: Solutions of the quantum dynamical Yang-Baxter equation and dynamical quantum groups. Commun. Math. Phys. 196, 591-640 (1998)
-
(1998)
Commun. Math. Phys.
, vol.196
, pp. 591-640
-
-
Etingof, P.1
Varchenko, A.2
-
16
-
-
0033240865
-
Exchange dynamical quantum groups
-
16. Etingof, P. and Varchenko, A.: Exchange dynamical quantum groups. Commun. Math. Phys. 205, 19-52 (1999)
-
(1999)
Commun. Math. Phys.
, vol.205
, pp. 19-52
-
-
Etingof, P.1
Varchenko, A.2
-
17
-
-
84972506966
-
A simple geometrical construction of deformation quantization
-
17. Fedosov, B.: A simple geometrical construction of deformation quantization. J. Diff. Geom. 40, 213-238 (1994)
-
(1994)
J. Diff. Geom.
, vol.40
, pp. 213-238
-
-
Fedosov, B.1
-
18
-
-
0001356524
-
Quantum W-algebras and elliptic algebras
-
18. Feigin, B. and Frenkel, E.: Quantum W-algebras and elliptic algebras. Commun. Math. Phys. 178, 653-678 (1996)
-
(1996)
Commun. Math. Phys.
, vol.178
, pp. 653-678
-
-
Feigin, B.1
Frenkel, E.2
-
19
-
-
0000884682
-
Conformal field theory and integrable systems associated to elliptic curves
-
19. Felder, G.: Conformal field theory and integrable systems associated to elliptic curves. Proc. ICM Zürich, 1994, pp. 1247-1255
-
(1994)
Proc. ICM Zürich
, pp. 1247-1255
-
-
Felder, G.1
-
20
-
-
0000384546
-
Quasi-Hopf deformation of quantum groups
-
20. Frønsdal, C.: Quasi-Hopf deformation of quantum groups. Lett. Math. Phys. 40, 117-134 (1997)
-
(1997)
Lett. Math. Phys.
, vol.40
, pp. 117-134
-
-
Frønsdal, C.1
-
22
-
-
0002568626
-
Algebras, bialgebras, quantum groups and algebraic deformations
-
Providence: AMS
-
22. Gerstenhaber, M. and Schack, S. D., Algebras, bialgebras, quantum groups and algebraic deformations. Contemp. Math. 134, Providence: AMS, 1992, pp. 51-92
-
(1992)
Contemp. Math.
, vol.134
, pp. 51-92
-
-
Gerstenhaber, M.1
Schack, S.D.2
-
23
-
-
84942964667
-
Poisson cohomology and quantization
-
23. Huebschmann, J.: Poisson cohomology and quantization. J. Reine Angew. Math. 408, 57-113 (1990)
-
(1990)
J. Reine Angew. Math.
, vol.408
, pp. 57-113
-
-
Huebschmann, J.1
-
24
-
-
0041125656
-
Quasi-Hopf twistors for elliptic quantum groups
-
24. Jimbo, M., Odake, S., Konno, H., and Shiraishi, J.: Quasi-Hopf twistors for elliptic quantum groups. Transform. Groups 4, 303-327 (1999)
-
(1999)
Transform. Groups
, vol.4
, pp. 303-327
-
-
Jimbo, M.1
Odake, S.2
Konno, H.3
Shiraishi, J.4
-
26
-
-
0001133433
-
Exact Gerstenhaber algebras and Lie bialgebroids
-
26. Kosmann-Schwarzbach, Y.: Exact Gerstenhaber algebras and Lie bialgebroids. Acta Appl. Math. 41, 153-165 (1995)
-
(1995)
Acta Appl. Math.
, vol.41
, pp. 153-165
-
-
Kosmann-Schwarzbach, Y.1
-
28
-
-
0031089306
-
Manin triples for Lie bialgebroids
-
28. Liu, Z.-J., Weinstein, A., and Xu, P.: Manin triples for Lie bialgebroids. J. Diff. Geom. 45, 547-574 (1997)
-
(1997)
J. Diff. Geom.
, vol.45
, pp. 547-574
-
-
Liu, Z.-J.1
Weinstein, A.2
Xu, P.3
-
29
-
-
0032021284
-
Dirac structures and poisson homogeneous spaces
-
29. Liu, Z.-J., Weinstein, A., and Xu, P.: Dirac structures and Poisson homogeneous spaces. Commun. Math. Phys. 192, 121-144 (1998)
-
(1998)
Commun. Math. Phys.
, vol.192
, pp. 121-144
-
-
Liu, Z.-J.1
Weinstein, A.2
Xu, P.3
-
30
-
-
0030550696
-
Exact Lie bialgebroids and poisson groupoids
-
30. Liu, Z.-J., and Xu, P.: Exact Lie bialgebroids and Poisson groupoids. Geom. and Funct. Anal. 6, 138-145 (1996)
-
(1996)
Geom. and Funct. Anal.
, vol.6
, pp. 138-145
-
-
Liu, Z.-J.1
Xu, P.2
-
32
-
-
0030305516
-
Hopf algebroids and quantum groupoids
-
32. Lu, J.-H.: Hopf algebroids and quantum groupoids. Internat. J. Math. 7, 47-70 (1996)
-
(1996)
Internat. J. Math.
, vol.7
, pp. 47-70
-
-
Lu, J.-H.1
-
33
-
-
0003276054
-
Lie groupoids and Lie algebroids in differential geometry
-
Cambridge: Cambridge Univ. Press
-
33. Mackenzie, K.: Lie Groupoids and Lie Algebroids in Differential Geometry. LMS Lecture Notes Series. 124, Cambridge: Cambridge Univ. Press, 1987
-
(1987)
LMS Lecture Notes Series
, vol.124
-
-
Mackenzie, K.1
-
34
-
-
84973999707
-
Lie bialgebroids and poisson groupoids
-
34. Mackenzie, K. and Xu, P.: Lie bialgebroids and Poisson groupoids. Duke Math. J. 18. 415-452 (1994)
-
(1994)
Duke Math. J.
, vol.18
, pp. 415-452
-
-
Mackenzie, K.1
Xu, P.2
-
35
-
-
0034179182
-
Integration of Lie bialgebroids
-
35. Mackenzie, K. and Xu, P.: Integration of Lie bialgebroids. Topology 39, 445-467 (2000)
-
(2000)
Topology
, vol.39
, pp. 445-467
-
-
Mackenzie, K.1
Xu, P.2
-
37
-
-
0034338136
-
Groupoïdes quantiques de base non-commutative
-
37. Maltsiniotis, G.: Groupoïdes quantiques de base non-commutative. Comm. in Alg. 28, 3441-3501 (2000)
-
(2000)
Comm. in Alg.
, vol.28
, pp. 3441-3501
-
-
Maltsiniotis, G.1
-
40
-
-
0002401936
-
Courant algebroids and strongly homotopy Lie algebras
-
40. Roytenberg, D. and Weinstein, A.: Courant algebroids and strongly homotopy Lie algebras. Lett. Math. Phys. 46, 81-93 (1998)
-
(1998)
Lett. Math. Phys.
, vol.46
, pp. 81-93
-
-
Roytenberg, D.1
Weinstein, A.2
-
41
-
-
0032219316
-
On classification of dynamical r-matrices
-
41. Schiffmann, O.: On classification of dynamical r-matrices. Math. Res. Lett. 5, 13-30 (1998)
-
(1998)
Math. Res. Lett.
, vol.5
, pp. 13-30
-
-
Schiffmann, O.1
-
42
-
-
0002043724
-
A quantum deformation of the Virasoro algebra and the Macdonald symmetric functions
-
42. Shiraishi, J., Kubo, H, Awata, H. and Odake, S.: A quantum deformation of the Virasoro algebra and the Macdonald symmetric functions. Lett. Math. Phys. 38, 33-51 (1996)
-
(1996)
Lett. Math. Phys.
, vol.38
, pp. 33-51
-
-
Shiraishi, J.1
Kubo, H.2
Awata, H.3
Odake, S.4
-
44
-
-
84972565091
-
Coisotropic calculus and poisson groupoids
-
44. Weinstein, A.: Coisotropic calculus and Poisson groupoids. J. Math. Soc. Japan 40, 705-727 (1988)
-
(1988)
J. Math. Soc. Japan
, vol.40
, pp. 705-727
-
-
Weinstein, A.1
-
45
-
-
0007142212
-
-
Private communication
-
45. Weinstein, A., Private communication
-
-
-
Weinstein, A.1
-
46
-
-
84941395030
-
Extensions of symplectic groupoids and quantization
-
46. Weinstein, A. and Xu, P.: Extensions of symplectic groupoids and quantization. J. Reine Angew. Math. 417, 159-189 (1991)
-
(1991)
J. Reine Angew. Math.
, vol.417
, pp. 159-189
-
-
Weinstein, A.1
Xu, P.2
-
47
-
-
0000918273
-
On poisson groupoids
-
47. Xu, P.: On Poisson groupoids. Internat. J. Math. 6, 101-124 (1995)
-
(1995)
Internat. J. Math.
, vol.6
, pp. 101-124
-
-
Xu, P.1
-
48
-
-
0032328046
-
Fedosov *-products and quantum momentum maps
-
48. Xu, P.: Fedosov *-products and quantum momentum maps. Commun. Math. Phys. 197, 167-197 (1998)
-
(1998)
Commun. Math. Phys.
, vol.197
, pp. 167-197
-
-
Xu, P.1
-
49
-
-
0031993877
-
Quantum groupoids and deformation quantization
-
49. Xu, P.: Quantum groupoids and deformation quantization. C. R. Acad. Sci. Paris, Série I 326, 289-294 (1998)
-
(1998)
C. R. Acad. Sci. Paris, Série I
, vol.326
, pp. 289-294
-
-
Xu, P.1
-
50
-
-
16744363198
-
Quantum groupoids associated to universal dynamical R-matrices
-
50. Xu, P.: Quantum groupoids associated to universal dynamical R-matrices. C. R. Acad. Sci. Paris, Série I 328, 327-332 (1999)
-
(1999)
C. R. Acad. Sci. Paris, Série I
, vol.328
, pp. 327-332
-
-
Xu, P.1
-
51
-
-
0033514096
-
Gerstenhaber algebras and BV-algebras in poisson geometry
-
51. Xu, P.: Gerstenhaber algebras and BV-algebras in Poisson geometry. Commun. Math. Phys. 200, 545-560 (1999)
-
(1999)
Commun. Math. Phys.
, vol.200
, pp. 545-560
-
-
Xu, P.1
|