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MAKHLOUF, ABDENACER; PANAITE, FLORIN. TWISTING OPERATORS, TWISTED TENSOR PRODUCTS AND SMASH PRODUCTS FOR HOM-ASSOCIATIVE ALGEBRAS. Glasgow mathematical journal, Tome 58 (2016) no. 3, pp. 513-538. doi: 10.1017/S0017089515000294
@article{10_1017_S0017089515000294,
author = {MAKHLOUF, ABDENACER and PANAITE, FLORIN},
title = {TWISTING {OPERATORS,} {TWISTED} {TENSOR} {PRODUCTS} {AND} {SMASH} {PRODUCTS} {FOR} {HOM-ASSOCIATIVE} {ALGEBRAS}},
journal = {Glasgow mathematical journal},
pages = {513--538},
year = {2016},
volume = {58},
number = {3},
doi = {10.1017/S0017089515000294},
url = {http://geodesic.mathdoc.fr/articles/10.1017/S0017089515000294/}
}
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[1] 1. and , Clifford algebras obtained by twisting of group algebras, J. Pure Appl. Algebra 171 (2–3) (2002), 133–148. Google Scholar | DOI
[2] 2. and , On quasi-Hopf smash products and twisted tensor products of quasialgebras, Algebr. Represent. Theory 12 (2–5) (2009), 199–234. Google Scholar
[3] 3. and , q-deformation of the Virasoro algebra with central extension, Phys. Lett. B 256 (1) (1991), 185–190. Google Scholar | DOI
[4] 4. , and , Cohomology and deformations of Hom-algebras, J. Lie Theory 21 (4) (2011), 813–836. Google Scholar
[5] 5. , and , Twisting Poisson algebras, coPoisson algebras and quantization, Travaux Mathématiques 20 (2012), 83–119. Google Scholar
[6] 6. and , Monoidal Hom-Hopf algebras, Comm. Algebra 39 (6) (2011), 2216–2240. Google Scholar | DOI
[7] 7. , and , On twisted tensor products of algebras, Comm. Algebra 23 (12) (1995), 4701–4735. Google Scholar | DOI
[8] 8. , , , and , q-deformations of Virasoro algebra and conformal dimensions, Phys. Lett. B 262 (1) (1991), 32–38. Google Scholar
[9] 9. , and , q-deformed Jacobi identity, q-oscillators and q-deformed infinite-dimensional algebras, Phys. Lett. B 237 (3–4) (1990), 401–406. Google Scholar
[10] 10. , and , q-Virasoro algebra and its relation to the q-deformed KdV system, Phys. Lett. B 249 (1) (1990), 63–65. Google Scholar | DOI
[11] 11. and , Deforming maps for quantum algebras, Phys. Lett. B 243 (3) (1990), 237–244. Google Scholar
[12] 12. and , Hom-quasi-bialgebras, Contemp. Math. 585 (Andruskiewitch, N., Cuadra, J. and Torrecillas, B., Editors) (Amer. Math. Soc., Providence, RI, 2013). Google Scholar | DOI
[13] 13. , and , Unital algebras of Hom-associative type and surjective or injective twistings, J. Gen. Lie Theory Appl. 3 (4) (2009), 285–295. Google Scholar | DOI
[14] 14. , and , Deformations of Lie algebras using σ-derivations, J. Algebra 295 (2) (2006), 314–361. Google Scholar | DOI
[15] 15. , q-Witt algebras, q-Lie algebras, q-holomorph structure and representations, Algebra Colloq. 6 (1) (1999), 51–70. Google Scholar
[16] 16. , , and , On iterated twisted tensor products of algebras, Int. J. Math. 19 (9) (2008), 1053–1101. Google Scholar | DOI
[17] 17. and , Quasi-Hom-Lie algebras, central extensions and 2-cocycle-like identities, J. Algebra 288 (2) (2005), 321–344. Google Scholar | DOI
[18] 18. and , Quasi-Lie algebras, in Noncommutative geometry and representation theory in mathematical physics, Contemp. Math., vol. 391 (Amer. Math. Soc., Providence, RI, 2005), 241–248. Google Scholar
[19] 19. and , Quasi-deformations of using twisted derivations, Comm. Algebra 35 (12) (2007), 4303–4318. Google Scholar | DOI
[20] 20. , Characterizations of the quantum Witt algebra, Lett. Math. Phys. 24 (4) (1992), 257–265. Google Scholar
[21] 21. , and , General twisting of algebras, Adv. Math. 212 (1) (2007), 315–337. Google Scholar | DOI
[22] 22. , Paradigm of nonassociative Hom-algebras and Hom-superalgebras, in Proceedings of the “Jordan Structures in Algebra and Analysis“ Meeting (Carmona Tapia, J., Morales Campoy, A., Peralta Pereira, A. M. and Ramirez Ilvarez, M. I., Editors) (Publishing House: Circulo Rojo, 2010), 145–177. Google Scholar
[23] 23. and , Hom-algebra structures, J. Gen. Lie Theory Appl. 2 (2) (2008), 51–64. Google Scholar
[24] 24. and , Hom-Lie admissible Hom-coalgebras and Hom-Hopf algebras, Published as Chapter 17 in Generalized Lie theory in mathematics, physics and beyond (Silvestrov, S., Paal, E., Abramov, V. and Stolin, A., Editors) (Springer-Verlag, Berlin, 2008), 189–206. Google Scholar
[25] 25. and , Hom-algebras and Hom-coalgebras, J. Algebra Appl. 9 (4) (2010), 553–589. Google Scholar
[26] 26. and , Yetter-Drinfeld modules for Hom-bialgebras, J. Math. Phys. 55 (2014), 013501. Google Scholar
[27] 27. , , The Yang–Baxter and Pentagon equation, Compos. Math. 91 (2) (1994), 201–221. Google Scholar
[28] 28. , Representations of Hom-Lie algebras, Algebr. Represent. Theory 15 (6) (2012), 1081–1098. Google Scholar
[29] 29. , Enveloping algebra of Hom-Lie algebras, J. Gen. Lie Theory Appl. 2 (2) (2008), 95–108. Google Scholar | DOI
[30] 30. , Module Hom-algebras, e-Print arXiv:0812.4695 (2008). Google Scholar
[31] 31. , Hom-bialgebras and comodule Hom-algebras, Int. E. J. Algebra. 8 (2010), 45–64. Google Scholar
[32] 32. , Hom-algebras and homology, J. Lie Theory 19 (2) (2009), 409–421. Google Scholar
[33] 33. , Hom-quantum groups I: Quasitriangular Hom-bialgebras, J. Phys. A 45 (6) (2012), 065203, 23 pp. Google Scholar
[34] 34. , Hom-quantum groups II: Cobraided Hom-bialgebras and Hom-quantum geometry, e-Print arXiv:0907.1880 (2009). Google Scholar
[35] 35. , Hom-quantum groups III: Representations and module Hom-algebras, e-Print arXiv:0911.5402 (2009). Google Scholar
[36] 36. , Hom-Yang-Baxter equation, Hom-Lie algebras and quasitriangular bialgebras, J. Phys. A 42 (16) (2009), 165202, 12 pp. Google Scholar
[37] 37. , The Hom-Yang-Baxter equation and Hom-Lie algebras, J. Math. Phys. 52 (2011), 053502. Google Scholar | DOI
[38] 38. , The classical Hom-Yang-Baxter equation and Hom-Lie bialgebras, Int. E. J. Algebra 17 (2015), 11–45. Google Scholar
[39] 39. , A construction relating Clifford algebras and Cayley-Dickson algebras, J. Math. Phys. 25 (1984), 2351–2353. Google Scholar
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