Grading refinements in the contractions of Lie algebras and their invariants

Journal of Physics A: Mathematical and General

Volumn 29, Issue 23, 1996, Pages 7519-7543

  Abdelmalek, M Ait ^a   Leng, X ^a   Patera, J ^a   Winternitz, P ^a  

^a UNIVERSITÉ DE MONTRÉAL   (Canada)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0037714607     PISSN: 03054470     EISSN: None     Source Type: Journal    
DOI: 10.1088/0305-4470/29/23/017     Document Type: Article

References (37)

1. Inonu E and Wigner E P 1953 Proc. Natl. Acad. Sci US 39 510
2. Saletan E J 1961 J. Math. Phys. 2 1
3. Gilmore R 1974 Lie Groups, Lie Algebras and Some of their Applications (New York: Wiley)
4. Bacry M and Lévy-Leblond J M 1968 J. Math. Phys. 9 1605
5. Levy-Nahas M 1967 J. Math. Phys. 8 1211
6. Couture M, Patera J, Sharp R T and Winternitz P 1991 J. Math. Phys. 32 2310-18
7. Moody R V and Patera J 1991 J. Phys. A: Math. Gen. 24 2227-58
8. de Montigny M and Patera J 1991 J. Phys. A: Math. Gen. 24 525-47
9. Leng X and Patera J 1994 J. Phys. A: Math. Gen. 27 1233-50; 1995 J. Phys. A: Math. Gen. 28 3785
10. Leng X and Patera J 1994 J. Phys. A: Math. Gen. 27 1233-50; 1995 J. Phys. A: Math. Gen. 28 3785
11. de Montigny M, Patera J and Tolar J 1994 J. Math. Phys. 35 405
12. Weimar-Woods E 1995 J. Math. Phys. 36 4519
13. Patera J and Zassenhaus H 1989 Lin. Algebra Applic. 112 87-159
14. Moody R V and Patera J 1984 J. Math. Phys. 25 2838-47
15. Michel L, Patera J and Sharp R T 1988 J. Math. Phys. 29 777-96
16. Moody R V and Patera J 1984 SIAM J. Alg. Discrete Meth. 5 359
17. Rand D, Winternitz P and Zassenhaus H 1988 Lin. Alg. Appl. 109 197-246
18. Jacobson N 1979 Lie Algebras (New York: Dover)
19. Zassenhaus H 1981 Lie Groups, Lie Algebras and Representation Theory (Montreal: Les Presses de l'Université de Montréal)
20. Patera J, Sharp R T, Winternitz P and Zassenhaus H 1976 J. Math. Phys. 17 986
21. Kirillov A A 1976 Elements of the Theory of Representations (New York: Springer)
22. Abellanas L and Martinez Alonso L 1975 J. Math. Phys. 16 1580
23. Perroud M 1983 J. Math. Phys. 24 1381
24. Ndogmo J C and Winternitz P 1994 J. Phys. A: Math. Gen. 27 405; 1994 J. Phys. A: Math. Gen. 27 2787
25. Ndogmo J C and Winternitz P 1994 J. Phys. A: Math. Gen. 27 405; 1994 J. Phys. A: Math. Gen. 27 2787
26. Rubin J and Winternitz P 1993 J. Physique A 26 1123
27. Izmest'ev A A, Pogosyan G S, Sissakian A N and Winternitz P 1996 J. Phys. A: Math. Gen. 29 1
28. Kadyshevsky V G 1962 Dokl. Akad. Nauk SSSR 147 588
29. de Montigny M 1993 Nuovo Cimento B 108 1171
30. Ait Abdelmalek M 1995 PhD Thesis Université de Montréal
31. Nono T 1968 J. Math. Anal. Appl. 24 110
32. Charap J M and Minton B M 1969 J. Math. Phys. 10 1823
33. Balachandran A P and Nuyts J 1968 Phys. Rev. 172 1821
34. Balachandran A P, Meggs W J, Nuyts J and Ramond P 1968 Phys. Rev. 176 1700
35. Beg M A B and Ruegg H 1965 J. Math. Phys. 6 677
36. Floreanini R, Lapointe L and Vinet L 1994 J. Physique A 27 6781
37. Lapointe L and Vinet L 1993 Appell Functions and the Pöschl-Teller Potential CRM-1925 Montréal