REFERENCES
- Böhm , G. ( 2000 ). Doi–Hopf modules over weak entwining modules . Comm. Algebra 28 : 4687 – 4698 .
- Caenepeel , S. , Militaru , G. , Zhu , S. ( 1997 ). Crossed modules and Doi–Hopf modules . Israel J. Math. 100 : 221 – 248 .
- Caenepeel , S. , Militaru , G. , Zhu , S. (2002). Frobenius and Separable Functors for Generalized Module Categories and Nonlinear Equations . Lect. Notes in Math.Berlin : Springer Verlag, p. 1787.
- Caenepeel , S. , Wang , D. G. , Yin , Y. M. ( 2005 ). Yetter–Drinfld modules over weak hopf algebras and the center construction . Ann. Univ. Ferrara-Sez. VII-Sc. Mat. 51 : 69 – 98 .
- Doi , Y. , Takeuchi , M. ( 1994 ). Multiplication alteration by two-cocycles in the quantum view . Comm. Algebra 22 : 5715 – 5726 .
- Guo , Q. L. , Wang , S. H. ( 2005 ). Group weak entwining structures and generalized cibils-Rosso's theorem . Preprint .
- Montgomery , S. ( 1993 ). Hopf Algebras and Their Actions on Rings . CBMS Lectures in Math. Vol. 82 , Providence, RI : AMS .
- Nikshych , D. ( 2000 ). A duality theorem for quantum groupoids . Contemporary Mathematics 267 : 237 – 243 .
- Sweedler , M. ( 1969 ). Hopf Algebras . New York : Benjamin .
- Turaev , V. G. ( 1994 ). Quantum Invariants of Knots and 3-Manifolds . In: de Gruyter Stud. Math. Vol. 18 , Berlin de : Gruyter .
- Turaev , V. G. ( 2000 ). Homotopy field theory in dimension 3 and crossed group-categories. Preprint GT/0005291 .
- Van Daele , A. , Wang , S. H. ( 2008 ). New braided crossed categories and Drinfel'd quantum double for weak Hopf group-coalgebras . Comm. Algebra 36 : 2341 – 2386 .
- Virelizier , A. ( 2002 ). Hopf group-coalgebras . J. Pure and Applied Algebra 171 : 75 – 122 .
- Virelizier , A. ( 2005 ). Graded quantum groups and quasitriangular Hopf group-coalgebras . Comm. Algebra 33 ( 9 ): 3029 – 3050 .
- Wang , S. H. ( 2004 ). Group twisted samsh products and Doi–Hopf modules for T-coalgebras . Comm. Algebra 32 ( 9 ): 3417 – 3436 .
- Wang , S. H. ( 2006 ). Multiplier unifying Hopf algebras. Preprint .
- Wang , S. H. , Li , J. Q. ( 1998 ). On twisted smash products for bimodule algebras and the drinfeld double . Comm. Algebra 26 ( 8 ): 1435 – 1444 .
- Wang , S. H. , Zhu , H. X. ( 2008 ). On braided Lie structures of algebras in the categories of weak Hopf bimodules. To appear in Algebra Colloq.
- Zunino , M. ( 2004a ). Double construction for crossed Hopf coalgebra . J. Algebra 278 : 43 – 75 .
- Zunino , M. ( 2004b ). Yetter–Drinfeld modules for crossed structures . J. Pure and Applied Algebra 193 ( 1–3 ): 313 – 343 .
- Communicated by L. Ein.