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Original Articles

New Turaev Braided Group Categories Over Entwining Structures

Pages 1019-1049 | Received 23 Jun 2008, Published online: 11 Mar 2010

REFERENCES

  • Abuhlail , J. Y. ( 2005 ). Dual entwining structures and dual entwined modules . Algebras Representation Theory 8 : 275 – 295 .
  • Brzezinski , T. , Majid , S. ( 1998 ). Coalgebra bundles . Comm. Math. Phys. 191 : 467 – 492 .
  • Hall , M. ( 1959 ). The Theory of Groups . New York : Macmillan .
  • Caenepeel , S. , Militaru , G. , Zhu , S. L. ( 2002 ). Frobenius and Separable Functors for Generalized Module Categories and Nonlinear Equations . Lect. Notes in Math. , Vol. 1787 . Berlin : Springer Verlag .
  • Caenepeel , S. , Van Oystaeyen , F. , Zhou , B. ( 1998 ). Making the category of Doi-Hopf modules into a braided monoidal category . Algebras Representation Theory 1 : 75 – 96 .
  • Hobst , D. , Pareigis , B. ( 2001 ). Double quantum groups . J. Algebra 242 : 460 – 494 .
  • Kirillov , A. J. ( 2004 ). On G-equivariant modular categories, math. QA/0401119 .
  • Mesablishvili , B. ( 2008 ). Entwining structures in monoidal categories . J. Algebra 319 ( 6 ): 2496 – 2517 .
  • Panaite , F. , Staic , M. D. ( 2007 ). Generalized (anti) Yetter–Drinfel'd modules as components of a braided T-category . Israel J. Math. 158 : 349 – 366 .
  • Radford , D. E. ( 1990 ). The group of automorphisms of a semisimple Hopf algebra over a filed of characteristic 0 is finite . Amer. J. Math. 112 ( 2 ): 331 – 357 .
  • Staic , M. D. ( 2007 ). A note on anti-Yetter–Drinfeld modules . Contemporary Mathematics 441 : 149 – 153 .
  • Sweedler , M. ( 1969 ). Hopf Algebras . New York : Benjamin .
  • Turaev , V. G. ( 1994 ). Quantum Invariants of Knots and 3-Manifolds . de Gruyter Stud. Math . Vol. 18 . Berlin : de Gruyter .
  • Turaev , V. G. ( 2008 ). Crossed group-categories . Arabian Journal for Science and Engineering 33 : 483 – 503 .
  • Van Daele , A. , Van Keer , S. ( 1994 ). The Yang-Baxter and Pentagon equation . Composition Math. 91 : 201 – 221 .
  • Virelizier , A. ( 2002 ). Hopf group-coalgebras . J. Pure Appl. Algebra 171 : 75 – 122 .
  • Virelizier , A. ( 2005 ). Involutory Hopf group-coalgebras and flat bundles over 3-manifolds . Fund. Math. 188 : 241 – 270 .
  • Wang , S. H. ( 2007 ). Coquasitriangular Hopf group algebras and Drinfeld co-doubles . Comm. Algebra 35 ( 1 ): 77 – 101 .
  • Wang , S. H. ( 2009 ). Tuaev group coalgebras and twisted Drinfeld double . Indiana Univ. Math. J. 58 ( 3 ): 1395 – 1417 .
  • Zunino , M. ( 2004 ). Yetter–Drinfeld modules for crossed structures . J. Pure Appl. Algebra 193 : 313 – 343 .
  • Communicated by V. A. Artamonov.

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