Operator Representations of uq(sl2(ℝ))

Letters in Mathematical Physics

Volumn 37, Issue 2, 1996, Pages 211-222

  Schmüdgen, Konrad ^a  

^a UNIVERSITY OF LEIPZIG   (Germany)

Author keywords

Casimir operators; Hopf algebra; Operator representations; Star algebra

Indexed keywords

EID: 0040438667     PISSN: 03779017     EISSN: None     Source Type: Journal    
DOI: 10.1007/bf00416024     Document Type: Article

References (16)

1. Barut, A. O. and Raczka, R.: Theory of Group Representations and Applications, PWN Warsaw, 1977.
2. Drinfeld, V. G.: Quantum groups, in: Proc. ICM Berkeley 1986, Amer. Math. Soc., Providence, (1987), pp. 798-820.
3. Gavrilik, A. M. and Klimyk, A. U.: q-Deformed orthogonal and pseudo-orthogonal algebras and their representations, Lett. Math. Phys. 21 (1991), 215-220.
4. Jimbo, M.: A q-difference analogue of U(g) and the Yang-Baxter equation, Lett. Math. Phys. 10 (1995), 63-69.
5. Kassel, C.: Quantum Groups, Springer-Verlag, New York, 1995.
6. 2 and super-tensor products, Comm. Math. Phys. 163 (1994), 433-460.
7. Kulish, P. P. and Reshetikhin, N. Yu.: Quantum linear problem for the sine-Gordon equation and higher representations. Zap. Nauchn. Sem. LOMI 101 (1981), 101-110. (English transl.: J. Soviet Math. 23 (1983), 2435-2441.
8. Kulish, P. P. and Reshetikhin, N. Yu.: Quantum linear problem for the sine-Gordon equation and higher representations. Zap. Nauchn. Sem. LOMI 101 (1981), 101-110. (English transl.: J. Soviet Math. 23 (1983), 2435-2441.
9. Ostrowski, V. L. and Samoilenko, Y. S.: On pairs of self-adjoint operators, Seminar Sophus Lie 3 (1993), 185-218.
10. Schmüdgen, K.: Unbounded Operator Algebras and Representation Theory, Akademie-Verlag, Berlin and Birkhäuser-Verlag, Basel, 1990.
11. q(2,ℝ), Comm. Math. Phys. 159 (1994), 217-237.
12. Schmüdgen, K.: An operator-theoretic approach to a cocycle problem in the complex plane, Bull. London Math. Soc. 27 (1995).
13. Soibelman, Ya. S. and Vaksman, L. L.: On some problems in the theory of quantum groups, Adv. Soviet. Math. 9 (1992), 3-55.
14. Takesaki, M.: Theory of Operator Algebras I, Springer- Verlag, New York, 1979.
15. t(N + 1, R), Adv. Soviet Math. 9 (1992), 57-65.
16. Woronowicz, S. L.: Unbounded elements affiliated with C*-algebras and non-compact quantum groups, Comm. Math. Phys. 136 (1991), 399-432.