On Quasi-Hopf Smash Products and Twisted Tensor Products of Quasialgebras
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Akrami, S.E., Majid, S.: Braided cyclic cocycles and nonassociative geometry. J. Math. Phys. 45, 3883–3911 (2004)
Albuquerque, H., Majid, S.: Clifford algebras obtained by twisting of group algebras. J. Pure Appl. Algebra 171, 133–148 (2002)
Beggs, E.J., Majid, S.: Quantization by cochain twists and nonassociative differentials. arXiv:math.QA/0506450
Bieliavsky, P., Bonneau, P., Maeda, Y.: Universal deformation formulae for three-dimensional solvable Lie groups. In: Quantum Field Theory and Noncommutative Geometry. Lecture Notes in Phys., vol. 662, pp. 127–141. Springer, Berlin (2005)
Bonneau, P., Gerstenhaber, M., Giaquinto, A., Sternheimer, D.: Quantum groups and deformation quantization: explicit approaches and implicit aspects. J. Math. Phys. 45, 3703–3741 (2004)
Bulacu, D., Caenepeel, S.: Two-sided two-cosided Hopf modules and Doi-Hopf modules for quasi-Hopf algebras. J. Algebra 270, 55–95 (2003)
Bulacu, D., Nauwelaerts, E.: Relative Hopf modules for (dual) quasi-Hopf algebras. J. Algebra 229, 632–659 (2000)
Bulacu, D., Nauwelaerts, E.: Radford’s biproduct for quasi-Hopf algebras and bosonization. J. Pure Appl. Algebra 174, 1–42 (2002)
Bulacu, D., Panaite, F., Van Oystaeyen, F.: Quasi-Hopf algebra actions and smash products. Comm. Algebra 28, 631–651 (2000)
Bulacu, D., Panaite, F., Van Oystaeyen, F.: Generalized diagonal crossed products and smash products for quasi-Hopf algebras. Applications. Comm. Math. Phys. 266, 355–399 (2006)
Caenepeel, S., Ion, B., Militaru, G., Zhu, S.: The factorization problem and the smash biproduct of algebras and coalgebras. Algebr. Represent. Theor. 3, 19–42 (2000)
Cap, A., Schichl, H., Vanzura, J.: On twisted tensor products of algebras. Comm. Algebra 23, 4701–4735 (1995)
Drinfeld, V.G.: Quasi-Hopf algebras. Leningr. Math. J. 1, 1419–1457 (1990)
Hausser, F., Nill, F.: Diagonal crossed products by duals of quasi-quantum groups. Rev. Math. Phys. 11, 553–629 (1999)
Jara Martínez, P., López Peña, J., Panaite, F., Van Oystaeyen, F.: On iterated twisted tensor products of algebras. Int. J. Math. 19, 1053–1101 (2008)
Kassel, C.: Quantum groups. Graduate Texts in Mathematics, vol. 155. Springer, Berlin (1995)
López Peña, J., Panaite, F., Van Oystaeyen, F.: General twisting of algebras. Adv. Math. 212, 315–337 (2007)
Montgomery, S.: Hopf algebras and their actions on rings. CBMS Regional Conference Series, vol. 82. American Mathematical Society, Providence (1993)
Panaite, F., Van Oystaeyen, F.: Quasi-Hopf algebras and representations of octonions and other quasialgebras. J. Math. Phys. 45, 3912–3929 (2004)
Panaite, F., Van Oystaeyen, F.: L-R-smash product for (quasi-) Hopf algebras. J. Algebra 309, 168–191 (2007)
Schauenburg, P.: Actions of monoidal categories and generalized Hopf smash products. J. Algebra 270, 521–563 (2003)
Van Daele, A., Van Keer, S.: The Yang–Baxter and Pentagon equation. Compos. Math. 91, 201–221 (1994)