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Original Articles

Multiplication alteration by two-cocycles - the quantum version

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Pages 5715-5732 | Received 01 Nov 1993, Published online: 27 Jun 2007

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Kangqiao Li. (2022) Note on invariance and finiteness for the exponent of Hopf algebras. Communications in Algebra 50:2, pages 484-497.
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Ling Liu & Qiao-ling Guo. (2016) On Twisted Smash Products of Monoidal Hom–Hopf Algebras. Communications in Algebra 44:10, pages 4140-4164.
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Xiao-Li Fang & Blas Torrecillas. (2014) Twisted Smash Products and L-R Smash Products for Biquasimodule Hopf Quasigroups. Communications in Algebra 42:10, pages 4204-4234.
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A.L. Agore. (2013) Crossed Product of Hopf Algebras. Communications in Algebra 41:7, pages 2519-2542.
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Naihong Hu & Yufeng Pei. (2012) Notes on Two-Parameter Quantum Groups, (II). Communications in Algebra 40:9, pages 3202-3220.
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Tianshui Ma & Shuanhong Wang. (2010) General Double Quantum Groups. Communications in Algebra 38:2, pages 645-672.
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Ling Liu & Shuan-hong Wang. (2008) The Generalized C.M.Z.-Theorem and a Drinfel'd Double Construction for WT-Coalgebras and Graded Quantum Groupoids. Communications in Algebra 36:9, pages 3393-3417.
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Hu Guo Quan & Xu Yong Hua. (2008) Twisted Comodule Algebras and the Generalized Quantum Double. Communications in Algebra 36:2, pages 604-621.
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Huixiang Chen & Yinhuo Zhang. (2007) Cocycle Deformations and Brauer Groups. Communications in Algebra 35:2, pages 399-433.
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Ji Qingzhong & Qin Hourong. (2006) On Smash Products Of Hopf Algebras. Communications in Algebra 34:9, pages 3203-3222.
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Shuan-hong Wang. (2004) Group Twisted Smash Products and Doi–Hopf Modules for -Coalgebras. Communications in Algebra 32:9, pages 3417-3436.
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Shuan-hong Wang & Y. G. Kim. (2004) Quasitriangular Structures for a Class of Hopf Algebras of Dimension . Communications in Algebra 32:4, pages 1401-1423.
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J. N. Alonso Alvarez, J. M. Fernández Vilaboa & R. González Rodríguez. (2001) ON THE (CO)COMMUTATIVITY CLASS OF A HOPF ALGEBRA AND CROSSED PRODUCTS IN A BRAIDED CATEGORY. Communications in Algebra 29:12, pages 5857-5877.
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Giovanna Carnovale. (2001) SOME ISOMORPHISMS FOR THE BRAUER GROUPS OF A HOPF ALGEBRA. Communications in Algebra 29:11, pages 5291-5305.
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Yongchang Zhu*. (2001) THE DIMENSION OF IRREDUCIBLE MODULES FOR TRANSITIVE MODULE ALGEBRAS. Communications in Algebra 29:7, pages 2877-2886.
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Zhengming Jiao. (2000) Skew dual bases and the quasitriangular structure of B⋈T H . Communications in Algebra 28:7, pages 3515-3522.
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Hui-Xiang Chen. (2000) Quantum doubles in monoidal categories. Communications in Algebra 28:5, pages 2303-2328.
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Shuan-hong Wang. (1999) On braided hopf algebra structures over the twisted smash products . Communications in Algebra 27:11, pages 5561-5573.
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Hui-Xiang Chen. (1999) A class of noncommutative and noncocommutative hopf algebras: the quantum version. Communications in Algebra 27:10, pages 5011-5032.
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Satoshi Suzuki. (1999) Minimal multt-braided bialgebras. Communications in Algebra 27:1, pages 357-386.
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Shuan-Hong Wang & Jin-Qi Li. (1998) On twisted smash products for bimodule algebras and the drinfeld double. Communications in Algebra 26:8, pages 2435-2444.
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Xiao Han, Giovanni Landi & Yang Liu. (2023) Hopf algebroids from non-commutative bundles. Reviews in Mathematical Physics 35:10.
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Iván Angiono, Simon Lentner & Guillermo Sanmarco. (2023) Pointed Hopf algebras over nonabelian groups with nonsimple standard braidings. Proceedings of the London Mathematical Society 127:4, pages 1185-1245.
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J. N. Alonso Álvarez, J. M. Fernández Vilaboa & R. González Rodríguez. (2020) Multiplication Alteration by Two-Cocycles: The Non-associative Version. Bulletin of the Malaysian Mathematical Sciences Society 43:5, pages 3557-3615.
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Robert Laugwitz. (2019) Comodule algebras and 2-cocycles over the (Braided) Drinfeld double. Communications in Contemporary Mathematics 21:04, pages 1850045.
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Sebastian Burciu. (2017) On the Grothendieck rings of generalized Drinfeld doubles. Journal of Algebra 486, pages 14-35.
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Nicolás Andruskiewitsch. 2017. Quantization, Geometry and Noncommutative Structures in Mathematics and Physics. Quantization, Geometry and Noncommutative Structures in Mathematics and Physics 135 195 .
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Kenichi Shimizu. (2015) On indicators of Hopf algebras. Israel Journal of Mathematics 207:1, pages 155-201.
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Thomas Guédénon. (2014) On the cohomology of locally finite $$A\#_HC$$ A # H C -modules. Beiträge zur Algebra und Geometrie / Contributions to Algebra and Geometry 56:1, pages 1-42.
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Zhengming Jiao & Xiaofan Zhao. (2014) Almost cocommutative and quasitriangular Hopf coquasigroups. Journal of Algebra and Its Applications 13:06, pages 1450010.
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Yunnan Li & Naihong Hu. (2014) The Green rings of the 2-rank Taft algebra and its two relatives twisted. Journal of Algebra 410, pages 1-35.
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DINGGUO WANG & YUANYUAN KE. (2013) THE CALABI–YAU PROPERTY OF TWISTED SMASH PRODUCTS. Journal of Algebra and Its Applications 13:03, pages 1350118.
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Nicolás Andruskiewitsch, Iván Angiono, Agustín García Iglesias, Akira Masuoka & Cristian Vay. (2014) Lifting via cocycle deformation. Journal of Pure and Applied Algebra 218:4, pages 684-703.
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NICOLÁS ANDRUSKIEWITSCH, IVÁN ANGIONO & DIRCEU BAGIO. (2013) EXAMPLES OF POINTED COLOR HOPF ALGEBRAS. Journal of Algebra and Its Applications 13:02, pages 1350098.
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A. L. Agore, C. G. Bontea & G. Militaru. (2012) Classifying Bicrossed Products of Hopf Algebras. Algebras and Representation Theory 17:1, pages 227-264.
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A.L. Agore & G. Militaru. (2013) Classifying complements for Hopf algebras and Lie algebras. Journal of Algebra 391, pages 193-208.
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Shuangjian Guo. (2013) A METHOD TO CONSTRUCT COQUASITRIANGULAR HOPF GROUP ALGEBRAS. Asian-European Journal of Mathematics 06:01, pages 1350013.
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A. L. AGORE. (2012) COQUASITRIANGULAR STRUCTURES FOR EXTENSIONS OF HOPF ALGEBRAS. APPLICATIONS. Glasgow Mathematical Journal 55:1, pages 201-215.
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LI BAI & SHUANHONG WANG. (2012) TWISTED DRINFELD DOUBLES AND REPRESENTATIONS OF A HOPF ALGEBRA. Journal of Algebra and Its Applications 11:06, pages 1250118.
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XIN FANG. (2012) QUANTUM GROUPS, q-BOSON ALGEBRAS AND QUANTIZED WEYL ALGEBRAS. International Journal of Mathematics 22:05, pages 675-694.
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Tianshui Ma, Haiying Li & Shuanhong Wang. (2010) A class of new braided Hopf algebras. Frontiers of Mathematics in China 6:2, pages 293-308.
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Ma Tianshui, Li Haiying & Zhao Wenzheng. (2011) On the braided structures of Radford's biproduct. Acta Mathematica Scientia 31:2, pages 701-715.
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Nicolás Andruskiewitsch, David Radford & Hans-Jürgen Schneider. (2010) Complete reducibility theorems for modules over pointed Hopf algebras. Journal of Algebra 324:11, pages 2932-2970.
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Xin Tang. (2010) Ringel–Hall algebras and two-parameter quantized enveloping algebras. Pacific Journal of Mathematics 247:1, pages 213-240.
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Tianshui Ma, Shuanhong Wang & Shaoxian Xu. (2010) A method of constructing braided Hopf algebras. Filomat 24:2, pages 53-66.
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Tom Hadfield & Ulrich Krähmer. (2008) Braided homology of quantum groups. Journal of K-Theory 4:2, pages 299-332.
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David E. Radford. (2008) Pointed Hopf Algebras—from Enveloping Algebras to Quantum Groups and Beyond. Acta Applicandae Mathematicae 108:1, pages 141-155.
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Akira Masuoka. (2009) Generalized q-boson algebras and their integrable modules. Journal of Algebra 322:6, pages 2199-2219.
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Margaret Beattie & Daniel Bulacu. (2008) Braided Hopf Algebras Obtained from Coquasitriangular Hopf Algebras. Communications in Mathematical Physics 282:1, pages 115-160.
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David E. Radford & Hans Jürgen Schneider. 2008. Modules and Comodules. Modules and Comodules 331 355 .
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Juan Cuadra & Florin Panaite. (2007) Extending lazy 2-cocycles on Hopf algebras and lifting projective representations afforded by them. Journal of Algebra 313:2, pages 695-723.
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Rachel Landers, Susan Montgomery & Peter Schauenburg. (2006) Hopf powers and orders for some bismash products. Journal of Pure and Applied Algebra 205:1, pages 156-188.
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Zhengming Jiao. (2005) The quasitriangular structures for a class ofT-smash product Hopf algebras. Israel Journal of Mathematics 146:1, pages 125-147.
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Zhengming Jiao & Robert Wisbauer. (2005) The braided structures for ω-smash coproduct Hopf algebras. Journal of Algebra 287:2, pages 474-495.
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