75
Views
3
CrossRef citations to date
0
Altmetric
Original Articles

Representations of Weak Hopf Algebras Associated to Cyclic Quivers

&
Pages 4321-4335 | Received 15 May 2004, Accepted 02 Jul 2004, Published online: 01 Feb 2007

REFERENCES

  • Anderson , F. W. , Fuller , K. R. ( 1974 ). Rings and Categories of Modules . New York : Springer-Verlag , GTM 13 .
  • Andruskiewitsch , N. , Natale , S. ( 2005 ). Double categories and quantum groupoids . Publ. Mat. Urug. 10 : 11 – 51 .
  • Böhm , G. , Szlachányi , K. ( 2003 ). Weak Hopf algebras II. Representation theory, dimensions, and the Markov trace . J. Alg. 233 : 156 – 212 . [CSA]
  • Böhm , G. , Nill , F. , Szlachányi , K. (1999). Weak Hopf algebras I. Integral theory and C*-structure. J. Alg. 221:385–438. [CSA] [CROSSREF]
  • Goodman , F. , Wenzl , H. ( 1990 ). Littlewood-Richardson coefficients for Hecke algebras at roots of unity . Adv. Math. 82 : 244 – 265 . [CSA] [CROSSREF]
  • Hayashi , T. ( 1991 ). An algebra related to the fusion rules of Wess-Zumino-Witten models . Lett. Math Phys. 22 : 291 – 296 . [CSA] [CROSSREF]
  • Hayashi , T. ( 1993 ). Quantum group symmetry of partition functions of IRF models and its application to Jones' index theory . Commun. Math. Phys. 157 : 331 – 345 . [CSA] [CROSSREF]
  • Nill , F. ( 1998 ). Axioms for weak bialgebras . q-alg/9805104 .
  • Ocneanu , A. , ( 1989 ). Quantized group, string algebras and Galois theory for algebras . In: Operator Algebras and Applications . Vol. 2 . Lecture Note Series 136. London Math. Soc. , 119 – 172 .
  • Reshetikhin , N. , Turaev , V. ( 1991 ). Invariants of 3-manifolds via link polynomials and quantum groups . Invent. Math. 103 : 547 – 598 . [CSA] [CROSSREF]
  • Vecsernyés , P. ( 2003 ). Larson–Sweedler theorem, grouplike elements, invertible modules and the order of the antipode . J. Alg. 270 : 471 – 520 . [CSA] [CROSSREF]
  • Yamanouchi , T. ( 1994 ). Duality for generalized Kac algebras and a characterization of finite groupoid algebras . J. Alg. 163 : 9 – 50 . [CSA] [CROSSREF]
  • Communicated by R. Wisbauer.

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.