Abstract
We show that the comultiplication on the quantum group SU q (2) may be obtained from that on the quantum semigroup SU 0(2) by twisting with a unitary 2-pseudo-cocycle.
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Connes A. (2004). Cyclic cohomology, quantum group symmetries and the local index formula for SU q (2). J. Inst. Math. Jussieu 3: 17–68
Cuntz J. and Krieger W. (1980). A class of C*-algebras and topological Markov chains. Invent. Math. 56: 251–268
Enock M. and Vainerman L. (1996). Deformation of a Kac algebra by an abelian subgroup. Commun. Math. Phys. 178: 571–596
Hong J.H. and Szymański W. (2002). Quantum spheres and projective spaces as graph algebras. Commun. Math. Phys. 232: 157–188
Kashiwara M. (1990). Crystalizing the q-analogue of universal enveloping algebras. Commun. Math. Phys. 133: 249–260
Nagy, G.: A rigidity property for quantum SU(3) groups. In: Advances in Geometry, Progr. Math. vol. 172, pp. 297–336. Birkhäuser, Boston (1999)
Raeburn, I.: Graph algebras, CBMS Regional Conference Series in Mathematics, vol. 103, Ams. Math. Soc., Providence (2005)
Vainerman L. (1998). 2-cocycles and twisting of Kac algebras. Commun. Math. Phys. 191: 697–721
Woronowicz S.L. (1987). Twisted SU(2) group. An example of a non-commutative differential calculus. Publ. Res. Inst. Math. Sci. 23: 117–181
Woronowicz S.L. (1987). Compact matrix pseudogroups. Commun. Math. Phys. 111: 613–665
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Work supported by the ARC Linkage International Fellowship LX0667294, and by the Korea Research Foundation Grant (KRF-2004-041-C00024).
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Hong, J.H., Szymański, W. A Pseudo-cocycle for the Comultiplication on the Quantum SU(2) Group. Lett Math Phys 83, 1–11 (2008). https://doi.org/10.1007/s11005-007-0201-z
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DOI: https://doi.org/10.1007/s11005-007-0201-z