Duality for the quantum $E(2)$ group.
A. Van Daele and S. L. Woronowicz
Source: Pacific J. Math. Volume 173, Number 2 (1996), 375-385.
Primary Subjects: 46L87
Secondary Subjects: 16W30, 17B37, 22D25, 46L60, 81R50
Full-text: Open access
Links and Identifiers
Permanent link to this document: http://projecteuclid.org/euclid.pjm/1102365628
Zentralblatt MATH identifier:
0879.17008
Zentralblatt MATH identifier:
0868.17013
Mathematical Reviews number (MathSciNet):
MR1394395
References
[1] S.L. Woronowicz, Unbounded elements affiliatedwith C-algebras andnon-compact quantum groups,Commun. Math. Phys., 136 (1991), 399-432.
Mathematical Reviews (MathSciNet):
MR92b:46117
[2] S.L. Woronowicz, Quantum E(2) group and its Pontryagin dual,Lett, in Math. Phys., 23 (1991), 251-263.
Mathematical Reviews (MathSciNet):
MR93b:17058
Zentralblatt MATH:
0752.17017
[3] S.L. Woronowicz, Operator equalities related to the quantum E(2) group, Commun. Math. Phys., 144 (1992), 417-428.
Mathematical Reviews (MathSciNet):
MR93d:46124
Zentralblatt MATH:
0753.47016
[4] S.L. Woronowicz and K. Napirkowski, Operator theory in the <T-algebraframe- work, Rep. Math. Phys., 31 (1992), 353-373.
Mathematical Reviews (MathSciNet):
MR94k:46123
Zentralblatt MATH:
0793.46039
[5] A. Van Daele, Dual Pairs of Hopf *-algebras, Lecture notes (first version). K.U. Leuven, (1991).
Zentralblatt MATH:
0796.16034
[6] A. Van Daele, Dual Pairs of Hopf *-algebras,Lecture notes (second version). Bull, of the Lond. Math. Soc, 25 (1993), 209-230.
Mathematical Reviews (MathSciNet):
MR94c:16053
Zentralblatt MATH:
0796.16034
[7] A. Van Daele, The operator ab + ba~ when ab = ba, Preprint K.U. Leuven, (1989).
[8] H.T. Koelink, On quantum groups and q-special functions, Ph.D. Thesis Leiden, (1991).
Mathematical Reviews (MathSciNet):
MR1187284
Zentralblatt MATH:
0769.33017
[9] A. Van Daele, A quantum deformation of the Heisenberg group, Preprint K.U. Leu- ven, (1989).
Mathematical Reviews (MathSciNet):
MR93h:46100
Zentralblatt MATH:
0811.46074
Pacific Journal of Mathematics
