A combinatorial approach to the quantification of Lie algebras

Pacific Journal of Mathematics

Volumn 203, Issue 1, 2002, Pages 191-233

  Kharchenko, V K ^a,b  

^a SOBOLEV INSTITUTE OF MATHEMATICS   (Russian Federation)

^b UNIVERSIDAD NACIONAL AUTÓNOMA DE MÉXICO   (Mexico)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0036347873     PISSN: 00308730     EISSN: None     Source Type: Journal    
DOI: 10.2140/pjm.2002.203.191     Document Type: Article

References (42)

1. 3
2. A Poincarè-Birkhoff-Witt theorem for generalized Lie color algebras
3. Rings with generalized identities
4. The diamond lemma for ring theory
5. Unsolvability of the word problem and subalgebras of finitely presented Lie algebras
6. Imbeddings into simple associative algebras
7. Serre relations and Groebner-Shirshov bases for simple Lie algebras I, II
8. Algorithmic and combinatorial algebra
9. Groebner bases for quantum enveloping algebras
10. Generalized Kae-Moody algebras
11. Free differential calculus IV, the quotient groups of the lower central series
12. Crystal bases and Young tableaux
13. Sur le critère de Friedrichs pour les commutateur dans une algèbre associative libre
14. Hopf algebras and the Yang-Baxter equation
15. Mathematical aspects of the quantum theory of fields, V
16. On defining relations of certain infinite-dimensional Lie algebras
17. A q-difference analogue of U(g) and the Yang-Baxter equation
18. Quantum deformations of generalized Kac-Moody algebras and their modules
19. Crystallizing the q-analogue of universal enveloping algebras
20. On crystal bases of the q-analog of universal enveloping algebras
21. An algebra of skew primitive elements
22. A quantum analogue of the Poincarè-Birkhoff-Witt theorem
23. An existence condition for multilincar quantum operations
24. Character Hopf algebras and quantizations of Lie algebras
25. Skew primitive elements in Hopf algebras and related identities
26. Crystals for Demazure modules of classical affine Lie algebras
27. Standard Lyndon bases of Lie algebras and enveloping algebras
28. Combinatorics on words
29. Quantum groups at roots of 1
30. Introduction to quantum groups
31. A theorem of Friedrichs
32. n
33. On the exponential solution of differential equations for a linear operator
34. On the structure of Hopf algebras
35. Hopf algebras and their actions on rings
36. The structure of Hopf algebras with projection
37. Quantum groups and quantum shuffles
38. Subelgebras of free Lie algebras
39. On free Lie rings
40. Some algorithmic problems for Lie algebras
41. N