Scasimir Operator, Scentre and Representations of Uq(osp(1|2))

Letters in Mathematical Physics

Volumn 40, Issue 4, 1997, Pages 307-320

  Arnaudon, D ^a   Bauer, M ^a,b  

^a ENSLAPP   (France)

^b CEA SACLAY   (France)

Author keywords

Quantum groups; Scasimir; Superalgebras

Indexed keywords

EID: 0010063874     PISSN: 03779017     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1007359625264     Document Type: Article

References (20)

1. Rosso, M.: Analogues de la forme de Killing et du théorème d'Harish-Chandra pour les groupes quantiques, Ann. Sci. École Norm. Sup. (4) 23 (1990), 445.
2. Lusztig, G.: Modular representations and quantum groups, Contemp. Math. 82 (1989), 59.
3. De Concini, C. and Kac, V. G.: Representations of Quantum Groups at Roots of 1, Progress in Math. 92, Birkhäuser, Basel, 1990, p. 471.
4. Kerler, T.: Darstellungen der Quantengruppen und Anwendungen, Diplomarbeit, ETH-Zurich, August 1989.
5. q(sl(N)), Lett. Math. Phys. 30 (1994), 251 (hep-th/9310030).
6. q(sl(N)) at roots of unity, J. Phys. A: Math. Gen. 28 (1995), 5495 (q-alg/9504006).
7. Kac, V. G.: Representations of classical Lie superalgebras, in: Lecture Notes in Math. 676, Springer-Verlag, Berlin, Heidelberg, New York, 1978.
8. q(sl(2|1)) at roots of unity, q-alg/9605015, ENSLAPP-A-583/96.
9. Kulish, P. P. and Reshetikhin, N. Yu: Universal R-matrix of the quantum superalgebra osp(1|2), Lett. Math. Phys. 18 (1989), 143-149.
10. Leśniewski, A.: A remark on the Casimir elements of Lie superalgebras and quantized Lie superalgebras, J. Math. Phys. 36 (3) (1995), 1457.
11. Pais, A. and Rittenberg, V.: Semisimple graded Lie algebras, J. Math. Phys. 16 (1975), 2062.
12. Pinczon, G.: The enveloping algebra of the Lie superalgebra osp(1|2), J. Algebra 132 (1990), 219.
13. Arnaudon, D., Bauer, M. and Frappat, L.: On Casimir's ghost, q-alg/9605021, ENSLAPP-A-587/96.
14. Duflo, M.: Sur la classification des idéaux primitifs dans l'algèbre enveloppante d'une algèbre de Lie semi-simple, Ann. of Math. (2) 105 (1977), 107.
15. Musson, I. M.: A classification of primitive ideals in the enveloping algebra of a classical simple Lie superalgebra, Adv. in Math. 91 (1992), 252.
16. q(osp(1|2n)) and its connection with quantum so(2n + 1), Lett. Math. Phys. 25 (1992), 317.
17. Kassel, C.: Quantum Groups, Graduate Texts in Math 155, Springer-Verlag, 1995.
18. q, Z. Phys. C 59 (1993), 155.
19. q(osp(1/2)) at roots of 1, J. Phys. A 28 (1995), 7275 (q-alg/9507026).
20. q(osp(1, 2)) with q a root of unity, Phys. Lett. A 163 (1992), 176.