Triangular dynamical r-matrices and quantization

Advances in Mathematics

Volumn 166, Issue 1, 2002, Pages 1-49

  Xu, Ping ^a  

^a PENNSYLVANIA STATE UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0036497108     PISSN: 00018708     EISSN: None     Source Type: Journal    
DOI: 10.1006/aima.2001.2000     Document Type: Article

References (42)

1. Universal solutions of quantum dynamical Yang-Baxter equation
2. The Gervais-Neveu-Felder equation and the quantum Calogero-Moser systems
3. Universal exchange algebra for Bloch waves and Liouville theory
4. Equation de Yang-Baxter dynamique classique et algebroides de Lie
5. Deformation theory and quantization, I and II
6. Some remarks about the associated envelope of a Lie algebra
7. Parametrizing equivalence classes of invariant star products
8. Equivalence of star products
9. n
10. Déformations de l'algèbre des fonctions d'une variété symplectique: Comparaison entre Fedosov et De Wilde, Lecomte
11. Quantum groups
12. On constant quasiclassical solutions of the Yang-Baxter quantum equation
13. Vertex-IRF transformation and quantization of dynamical r-matrices
14. Quantization of Lie bialgebras I
15. Geometry and classification of solutions of the classical dynamical Yang-Baxter equation
16. Solutions of the quantum dynamical Yang-Baxter equation and dynamical quantum groups
17. Exchange dynamical quantum groups
18. Explicit quantization of dynamical r-matrices for finite dimensional semisimple Lie algebras
19. A simple geometrical construction of deformation quantization
20. Conformal field theory and integrable systems associated to elliptic curves
21. Quasi-Hopf deformation of quantum groups
22. Novel triangle relation and absense of tachyons in Liouville string field theory
23. Quasi-Hopf twistors for elliptic quantum groups
24. Exact Gerstenhaber algebras and Lie bialgebroids
25. v-produits)
26. Exact Lie bialgebroids and Poisson groupoids
27. Dirac structures and dynamical r-matrices
28. Lie bialgebroids and Poisson groupoids
29. Integration of Lie bialgebroids
30. Algebraic index theorem for families
31. On classification of dynamical r-matrices
32. Hochschild cohomology and characteristic classes for star-products
33. Fedosov *-products and quantum momentum maps
34. Quantum groupoids and deformation quantization
35. Quantum groupoids associated to universal dynamical R-matrices
36. Gerstenhaber algebras and BV-algebras in Poisson geometry
37. Quantum groupoids
38. Quantum dynamical Yang-Baxter equation over a nonabelian base