Han, Xiao; Majid, Shahn Hopf-Galois extensions and twisted Hopf algebroids. (English) Zbl 07787787 J. Algebra 641, 754-794 (2024). MSC: 16T05 16S40 16T10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Wang, Dingguo; Cheng, Xiangdong; Lu, Daowei Bicrossed products of generalized Taft algebra and group algebras. (English) Zbl 07584103 Czech. Math. J. 72, No. 3, 801-816 (2022). Reviewer: Sorin Dascalescu (Bucureşti) MSC: 16T05 16S40 × Cite Format Result Cite Review PDF Full Text: DOI
Alyoubi, Bashayer M.; Al-Shomrani, M. M. The groups of prime power order and the structure of Hopf algebras. (English) Zbl 1507.16030 JP J. Algebra Number Theory Appl. 51, No. 2, 145-182 (2021). MSC: 16T05 16S40 20D10 20D15 × Cite Format Result Cite Review PDF Full Text: DOI
Ning, Yan; Lu, Daowei; Zhang, Xiaohui Drinfel’d double for monoidal Hom-Hopf algebras. (English) Zbl 1484.16038 Colloq. Math. 164, No. 2, 251-271 (2021). Reviewer: Zhang Liangyun (Nanjing) MSC: 16T05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Halıcı, S.; Karataş, A.; Sütlü, S. Hom-Lie-Hopf algebras. (English) Zbl 1456.16033 J. Algebra 553, 26-88 (2020). MSC: 16T05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Majid, Shahn; Tao, Wen-Qing Noncommutative differentials on Poisson-Lie groups and pre-Lie algebras. (English) Zbl 1383.17010 Pac. J. Math. 284, No. 1, 213-256 (2016). MSC: 17B62 17B35 17D25 58B32 81R50 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Zhao, Wenzheng; Ma, Tianshui Bicrossproduct revisited. (English) Zbl 1351.16035 Filomat 27, No. 4, 637-647 (2013). MSC: 16T05 16T10 × Cite Format Result Cite Review PDF Full Text: DOI
Bonciocat, N. C.; Cipu, M.; Tsai, M.-T.; Zaharescu, A. Congruences characterizing the bicrossproduct of cyclic groups. (English) Zbl 1313.11004 Bull. Math. Soc. Sci. Math. Roum., Nouv. Sér. 56(104), No. 3, 267-279 (2013). Reviewer: Moshe Roitman (Haifa) MSC: 11A07 11A41 11A51 × Cite Format Result Cite Review PDF
Dong, Lihong; Wang, Shuanhong Constructing new quasitriangular Turaev group coalgebras. (English) Zbl 1280.16033 Commun. Algebra 41, No. 4, 1217-1246 (2013). Reviewer: Sorin Dascalescu (Bucureşti) MSC: 16T15 16T05 18D10 × Cite Format Result Cite Review PDF Full Text: DOI
Majid, Shahn \(q\)-fuzzy spheres and quantum differentials on \(B_q[\mathrm{SU}_2]\) and \(U_q(\mathrm{su}_2)\). (English) Zbl 1268.58005 Lett. Math. Phys. 98, No. 2, 167-191 (2011). MSC: 58B32 16T20 81R50 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Khalkhali, Masoud; Pourkia, Arash A super version of Connes-Moscovici Hopf algebra. (English) Zbl 1238.58005 Connes, Alain (ed.) et al., Noncommutative geometry and global analysis. Conference in honor of Henri Moscovici, Bonn, Germany, June 29–July 4, 2009. Providence, RI: American Mathematical Society (AMS) (ISBN 978-0-8218-4944-6/pbk). Contemporary Mathematics 546, 181-198 (2011). MSC: 58B34 16T05 16W55 × Cite Format Result Cite Review PDF Full Text: arXiv
Shoaib, H. A.; Al-Shomrani, M. M. Left Hopf algebras and self duality. (English) Zbl 1193.18006 Int. Math. Forum 4, No. 45-48, 2377-2389 (2009). MSC: 18D10 16T05 × Cite Format Result Cite Review PDF Full Text: Link
Majid, S.; Schroers, B. J. \(q\)-deformation and semidualization in 3D quantum gravity. (English) Zbl 1187.83033 J. Phys. A, Math. Theor. 42, No. 42, Article ID 425402, 40 p. (2009). Reviewer: Vladimir Dzhunushaliev (Bishkek) MSC: 83C45 81R50 17B37 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Hadfield, T.; Majid, S. Bicrossproduct approach to the Connes-Moscovici Hopf algebra. (English) Zbl 1125.16026 J. Algebra 312, No. 1, 228-256 (2007). Reviewer: Goutam Mukherjee (Kolkata) MSC: 16W30 58B32 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Jiao, Zhengming; Xu, Xiaoge Braided structures of bicrossproduct Hopf algebras. (Chinese. English summary) Zbl 1125.16027 Chin. J. Eng. Math. 23, No. 6, 1133-1136 (2006). MSC: 16T05 × Cite Format Result Cite Review PDF
Chapovsky, Yu. A.; Kalyuzhnyi, A. A.; Podkolzin, G. B. Construction of cocycles for bicrossproduct of Lie groups. (English. Russian original) Zbl 1152.22012 Funct. Anal. Appl. 40, No. 2, 139-142 (2006); translation from Funkts. Anal. Prilozh. 40, No. 2, 70-73 (2006). MSC: 22E41 17B62 17B37 16W30 × Cite Format Result Cite Review PDF Full Text: DOI
Arratia, Oscar; del Olmo, Mariano A. Representations of quantum bicrossproduct algebras. (English) Zbl 1042.17008 J. Phys. A, Math. Gen. 35, No. 48, 10247-10276 (2002). Reviewer: Robert Oeckl (Morelia) MSC: 17B37 16W30 16S40 81R50 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Desmedt, Pieter; Quaegebeur, Johan; Vaes, Stefaan Amenability and the bicrossed product construction. (English) Zbl 1035.46042 Ill. J. Math. 46, No. 4, 1259-1277 (2002). Reviewer: Tomasz Brzeziński (Swansea) MSC: 46L89 43A07 46L65 × Cite Format Result Cite Review PDF Full Text: arXiv
Kowalski-Glikman, Jerzy De Sitter space as an arena for doubly special relativity. (English) Zbl 0999.83005 Phys. Lett., B 547, No. 3-4, 291-296 (2002). MSC: 83A05 83E05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Wang, Shuanhong On the braided structures of bicrossproduct Hopf algebras. (English) Zbl 0996.16026 Tsukuba J. Math. 25, No. 1, 103-120 (2001). Reviewer: Alan Koch (Decatur) MSC: 16W30 × Cite Format Result Cite Review PDF Full Text: DOI
Lee, Jung-Rye Automorphisms related to intrinsic groups of Kac algebras. (English) Zbl 0969.46047 Far East J. Math. Sci. (FJMS) 2, No. 5, 673-686 (2000). MSC: 46L55 46L40 × Cite Format Result Cite Review PDF
Zhao, Wenzheng; Wang, Shuanhong; Jiao, Zhengming On the quasitriangular structures of bicrossproduct Hopf algebras. (English) Zbl 0963.16039 Commun. Algebra 28, No. 10, 4839-4853 (2000). Reviewer: Li Fang (Hangzhou) MSC: 16W30 × Cite Format Result Cite Review PDF Full Text: DOI
Beggs, Edwin; Majid, Shahn Quasitriangular and differential structures on bicrossproduct Hopf algebras. (English) Zbl 0942.16035 J. Algebra 219, No. 2, 682-727 (1999). Reviewer: E.J.Taft (New Brunswick) MSC: 16W30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Arratia, Oscar; del Olmo, Mariano A. Induced representations of quantum groups. (English) Zbl 0956.81026 Asorey, Manuel (ed.) et al., Geometry and physics. Proceedings of the workshop, Zaragoza, Spain, February 9-10, 1998. Madrid: Centro de Investigaciones Energéticas, Medioambientales y Tecnológicas (CIEMAT). An. Fís., Monogr. 5, 37-49 (1998). MSC: 81R50 17B37 16W30 × Cite Format Result Cite Review PDF Full Text: arXiv
Arratia, Oscar; Herranz, Francisco J.; del Olmo, Mariano A. Bicrossproduct structure of the null-plane quantum Poincaré algebra. (English) Zbl 0956.81027 J. Phys. A, Math. Gen. 31, No. 1, L1-L7 (1998). MSC: 81R50 17B37 16W30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Pérez Bueno, J. C. On the bicrossproduct structures for the \({\mathcal U}_\lambda (\text{iso}_{\omega_2,\dots, \omega_N} (\mathbb{N}))\) family of algebras. (English) Zbl 0952.17018 J. Phys. A, Math. Gen. 31, No. 30, 6505-6516 (1998). Reviewer: Evelyn Weimar-Woods (Berlin) MSC: 17B70 17B37 16W30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Pérez Bueno, J. C. Bicrossproduct structure and graded contractions of deformed algebras. (English) Zbl 0942.81028 Czech. J. Phys. 47, No. 12, 1275-1282 (1997). MSC: 81R50 16W30 17B37 × Cite Format Result Cite Review PDF Full Text: DOI
Kosiński, P.; Lukierski, J.; Maślanka, P.; Sobczyk, J. Bicrossproduct Hopf superalgebras and \(D=4\) \(\kappa\)-deformed Poincaré supergroup. (English) Zbl 0864.16034 J. Math. Phys. 37, No. 6, 3041-3049 (1996). MSC: 16W30 17B37 16W50 16S80 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Sano, Takashi Commuting co-commuting squares and finite dimensional Kac algebras. (English) Zbl 0851.46046 Pac. J. Math. 172, No. 1, 243-253 (1996). MSC: 46L51 46L53 46L54 46L55 47L45 × Cite Format Result Cite Review PDF Full Text: DOI
Sobczyk, Jan Quantum deformation of relativistic supersymmetry. (English) Zbl 0908.17011 Slovák, Jan (ed.), Proceedings of the 15th Winter School on geometry and physics, Srní, Czech Republic, January 14–21, 1995. Palermo: Circolo Matemàtico di Palermo, Suppl. Rend. Circ. Mat. Palermo, II. Ser. 43, 207-216 (1996). MSC: 17B37 16W30 81R50 81T60 × Cite Format Result Cite Review PDF
Kosiński, P.; Lukierski, J.; Maślanka, P.; Sobczyk, J. \(\kappa\)-deformation of Poincaré superalgebra with classical Lorentz subalgebra and its graded bicrossproduct structure. (English) Zbl 0876.17018 J. Phys. A, Math. Gen. 28, No. 8, 2255-2264 (1995). MSC: 17B37 81R50 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Zhu, Hongxin Bicrossproduct on categories of representations of triangular Hopf algebras. (Chinese. English summary) Zbl 0836.16026 J. Fudan Univ., Nat. Sci. 34, No. 2, 149-154 (1995). Reviewer: Li Fang (Nanjing) MSC: 16W30 17B37 16S40 × Cite Format Result Cite Review PDF
Yamanouchi, Takehiko Bicrossproduct Kac algebras, bicrossproduct groups and von Neumann algebras of Takesaki’s type. (English) Zbl 0799.46080 Math. Scand. 71, No. 2, 252-260 (1992). Reviewer: S.Sankaran (London) MSC: 46L55 × Cite Format Result Cite Review PDF Full Text: DOI EuDML
Majid, Shahn Hopf-von Neumann algebra bicrossproducts, Kac algebra bicrossproducts, and the classical Yang-Baxter equations. (English) Zbl 0741.46033 J. Funct. Anal. 95, No. 2, 291-319 (1991). Reviewer: Hou Jinchuan (Linfen) MSC: 46L55 46L87 47L50 × Cite Format Result Cite Review PDF Full Text: DOI
Majid, Shahn Physics for algebraists: Non-commutative and non-cocommutative Hopf algebras by a bicrossproduct construction. (English) Zbl 0694.16008 J. Algebra 130, No. 1, 17-64 (1990). Reviewer: E.J.Taft MSC: 16W30 81S05 81Q05 × Cite Format Result Cite Review PDF Full Text: DOI
Majid, Shahn Matched pairs of Lie groups associated to solutions of the Yang-Baxter equations. (English) Zbl 0735.17017 Pac. J. Math. 141, No. 2, 311-332 (1990). Reviewer: E.J.Taft (New Brunswick) MSC: 17B37 22E46 16W30 × Cite Format Result Cite Review PDF Full Text: DOI