Ruiz-de-Alarcón, Alberto; Garre-Rubio, José; Molnár, András; Pérez-García, David Matrix product operator algebras. II: Phases of matter for 1D mixed states. (English) Zbl 07821446 Lett. Math. Phys. 114, No. 2, Paper No. 43, 41 p. (2024). MSC: 81R50 82B28 81S22 PDFBibTeX XMLCite \textit{A. Ruiz-de-Alarcón} et al., Lett. Math. Phys. 114, No. 2, Paper No. 43, 41 p. (2024; Zbl 07821446) Full Text: DOI arXiv
Zhou, Kun; Liu, Gongxiang Non-simple quasitriangular Hopf algebras of dimension \(pq^2\). (English) Zbl 07748790 Manuscr. Math. 172, No. 3-4, 1133-1152 (2023). Reviewer: Małgorzata E. Hryniewicka (Białystok) MSC: 16T05 PDFBibTeX XMLCite \textit{K. Zhou} and \textit{G. Liu}, Manuscr. Math. 172, No. 3--4, 1133--1152 (2023; Zbl 07748790) Full Text: DOI arXiv
Brown, K. A.; Couto, M.; Jahn, A. The finite dual of commutative-by-finite Hopf algebras. (English) Zbl 1518.16031 Glasg. Math. J. 65, No. 1, 62-89 (2023). Reviewer: Serban Raianu (Torrance) MSC: 16T05 16T20 16R10 16P40 PDFBibTeX XMLCite \textit{K. A. Brown} et al., Glasg. Math. J. 65, No. 1, 62--89 (2023; Zbl 1518.16031) Full Text: DOI arXiv
Freed, Daniel S.; Teleman, Constantin Topological dualities in the Ising model. (English) Zbl 1511.57033 Geom. Topol. 26, No. 5, 1907-1984 (2022). Reviewer: Robert Coquereaux (Marseille) MSC: 57R56 81T25 82B20 PDFBibTeX XMLCite \textit{D. S. Freed} and \textit{C. Teleman}, Geom. Topol. 26, No. 5, 1907--1984 (2022; Zbl 1511.57033) Full Text: DOI arXiv
López Neumann, Daniel Twisting Kuperberg invariants via Fox calculus and Reidemeister torsion. (English) Zbl 1509.57009 Algebr. Geom. Topol. 22, No. 5, 2419-2466 (2022). Reviewer: Rui Miguel Saramago (Porto Salvo) MSC: 57K16 57K31 16T05 PDFBibTeX XMLCite \textit{D. López Neumann}, Algebr. Geom. Topol. 22, No. 5, 2419--2466 (2022; Zbl 1509.57009) Full Text: DOI arXiv
Wang, Zhihua; Liu, Gongxiang; Li, Libin Invariants from the Sweedler power maps on integrals. (English) Zbl 1501.16027 J. Algebra 606, 590-612 (2022). Reviewer: Sonia Natale (Córdoba) MSC: 16T05 PDFBibTeX XMLCite \textit{Z. Wang} et al., J. Algebra 606, 590--612 (2022; Zbl 1501.16027) Full Text: DOI arXiv
Bichon, Julien On the monoidal invariance of the cohomological dimension of Hopf algebras. (English. French summary) Zbl 1502.16033 C. R., Math., Acad. Sci. Paris 360, 561-582 (2022). Reviewer: Małgorzata E. Hryniewicka (Białystok) MSC: 16T05 16E40 16E10 PDFBibTeX XMLCite \textit{J. Bichon}, C. R., Math., Acad. Sci. Paris 360, 561--582 (2022; Zbl 1502.16033) Full Text: DOI arXiv
Li, Kangqiao Note on invariance and finiteness for the exponent of Hopf algebras. (English) Zbl 1498.16039 Commun. Algebra 50, No. 2, 484-497 (2022). Reviewer: Ramón González Rodríguez (Vigo) MSC: 16T05 PDFBibTeX XMLCite \textit{K. Li}, Commun. Algebra 50, No. 2, 484--497 (2022; Zbl 1498.16039) Full Text: DOI arXiv
Negron, Cris; Plavnik, Julia Cohomology of finite tensor categories: duality and Drinfeld centers. (English) Zbl 1484.18011 Trans. Am. Math. Soc. 375, No. 3, 2069-2112 (2022). Reviewer: Ramón González Rodríguez (Vigo) MSC: 18G15 16T99 PDFBibTeX XMLCite \textit{C. Negron} and \textit{J. Plavnik}, Trans. Am. Math. Soc. 375, No. 3, 2069--2112 (2022; Zbl 1484.18011) Full Text: DOI arXiv
Li, Kangqiao; Liu, Gongxiang On the antipode of Hopf algebras with the dual Chevalley property. (English) Zbl 1484.16036 J. Pure Appl. Algebra 226, No. 3, Article ID 106871, 15 p. (2022). Reviewer: Sonia Natale (Córdoba) MSC: 16T05 PDFBibTeX XMLCite \textit{K. Li} and \textit{G. Liu}, J. Pure Appl. Algebra 226, No. 3, Article ID 106871, 15 p. (2022; Zbl 1484.16036) Full Text: DOI arXiv
López Neumann, Daniel Kuperberg invariants for balanced sutured 3-manifolds. (English) Zbl 1487.57022 Can. J. Math. 73, No. 6, 1698-1742 (2021). Reviewer: Yoshikazu Yamaguchi (Tokyo) MSC: 57K31 57K16 57Q10 16T05 PDFBibTeX XMLCite \textit{D. López Neumann}, Can. J. Math. 73, No. 6, 1698--1742 (2021; Zbl 1487.57022) Full Text: DOI arXiv
Kim, Minkyu A pair of homotopy-theoretic version of TQFT’s induced by a Brown functor. (English) Zbl 1493.57025 Int. J. Math. 32, No. 8, Article ID 2150053, 45 p. (2021). Reviewer: Daniel Moskovich (Beer-Sheva) MSC: 57R56 PDFBibTeX XMLCite \textit{M. Kim}, Int. J. Math. 32, No. 8, Article ID 2150053, 45 p. (2021; Zbl 1493.57025) Full Text: DOI arXiv
Qiaoling, Xin; Tianqing, Cao The quantum symmetry in nonbalanced Hopf spin models determined by a normal coideal subalgebra. (English) Zbl 1477.16038 J. Math. 2021, Article ID 5587878, 8 p. (2021). MSC: 16T05 17B37 PDFBibTeX XMLCite \textit{X. Qiaoling} and \textit{C. Tianqing}, J. Math. 2021, Article ID 5587878, 8 p. (2021; Zbl 1477.16038) Full Text: DOI
Shapiro, Ilya Mixed vs stable anti-Yetter-Drinfeld contramodules. (English) Zbl 1505.16045 SIGMA, Symmetry Integrability Geom. Methods Appl. 17, Paper 026, 10 p. (2021). MSC: 16T05 16E35 18G90 19D55 PDFBibTeX XMLCite \textit{I. Shapiro}, SIGMA, Symmetry Integrability Geom. Methods Appl. 17, Paper 026, 10 p. (2021; Zbl 1505.16045) Full Text: DOI arXiv
Brown, K. A.; Couto, M. Affine commutative-by-finite Hopf algebras. (English) Zbl 1467.16032 J. Algebra 573, 56-94 (2021). Reviewer: Dmitry Artamonov (Moskva) MSC: 16T05 16T20 16R10 16G99 PDFBibTeX XMLCite \textit{K. A. Brown} and \textit{M. Couto}, J. Algebra 573, 56--94 (2021; Zbl 1467.16032) Full Text: DOI arXiv
Bulacu, D.; Torrecillas, B. On Frobenius and separable Galois cowreaths. (English) Zbl 1462.16034 Math. Z. 297, No. 1-2, 25-57 (2021). Reviewer: Sonia Natale (Córdoba) MSC: 16T05 18M05 16S34 16T15 PDFBibTeX XMLCite \textit{D. Bulacu} and \textit{B. Torrecillas}, Math. Z. 297, No. 1--2, 25--57 (2021; Zbl 1462.16034) Full Text: DOI
Zhou, Jingheng; Zhu, Shenglin The applications of probability groups on Hopf algebras. (English) Zbl 1456.16034 Commun. Algebra 49, No. 1, 14-32 (2021). MSC: 16T05 PDFBibTeX XMLCite \textit{J. Zhou} and \textit{S. Zhu}, Commun. Algebra 49, No. 1, 14--32 (2021; Zbl 1456.16034) Full Text: DOI arXiv
Ardizzoni, Alessandro; Stumbo, Fabio On indecomposable ideals over some algebras. (English) Zbl 1468.16044 Algebr. Represent. Theory 23, No. 4, 1443-1466 (2020). Reviewer: Cristian Vay (Córdoba) MSC: 16T05 15A63 94B15 94B05 PDFBibTeX XMLCite \textit{A. Ardizzoni} and \textit{F. Stumbo}, Algebr. Represent. Theory 23, No. 4, 1443--1466 (2020; Zbl 1468.16044) Full Text: DOI arXiv Link
Burciu, Sebastian Representations and conjugacy classes of semisimple quasitriangular Hopf algebras. (English) Zbl 1441.18020 SIGMA, Symmetry Integrability Geom. Methods Appl. 16, Paper 039, 20 p. (2020). Reviewer: Paolo Saracco (Bruxelles) MSC: 18M05 18M15 16T05 19D23 PDFBibTeX XMLCite \textit{S. Burciu}, SIGMA, Symmetry Integrability Geom. Methods Appl. 16, Paper 039, 20 p. (2020; Zbl 1441.18020) Full Text: DOI arXiv
Bulacu, Daniel; Torrecillas, Blas On sovereign, balanced and ribbon quasi-Hopf algebras. (English) Zbl 1490.16073 J. Pure Appl. Algebra 224, No. 3, 1064-1091 (2020). MSC: 16T05 16S34 18M05 18M10 PDFBibTeX XMLCite \textit{D. Bulacu} and \textit{B. Torrecillas}, J. Pure Appl. Algebra 224, No. 3, 1064--1091 (2020; Zbl 1490.16073) Full Text: DOI arXiv
Wang, Xingting A note on Masuoka’s theorem for semisimple irreducible Hopf algebras. (English) Zbl 1428.16033 Arch. Math. 113, No. 1, 11-20 (2019). Reviewer: Sonia Natale (Córdoba) MSC: 16T05 16E40 PDFBibTeX XMLCite \textit{X. Wang}, Arch. Math. 113, No. 1, 11--20 (2019; Zbl 1428.16033) Full Text: DOI arXiv
Etingof, Pavel On faithfulness of the lifting for Hopf algebras and fusion categories. (English) Zbl 1440.16034 Algebra Number Theory 12, No. 3, 551-569 (2018). MSC: 16T05 PDFBibTeX XMLCite \textit{P. Etingof}, Algebra Number Theory 12, No. 3, 551--569 (2018; Zbl 1440.16034) Full Text: DOI arXiv Link
Eisele, Florian; Geline, Michael; Kessar, Radha; Linckelmann, Markus On Tate duality and a projective scalar property for symmetric algebras. (English) Zbl 1483.16022 Pac. J. Math. 293, No. 2, 277-300 (2018). MSC: 16H10 20C20 PDFBibTeX XMLCite \textit{F. Eisele} et al., Pac. J. Math. 293, No. 2, 277--300 (2018; Zbl 1483.16022) Full Text: DOI arXiv Link
Negron, Cris; Ng, Siu-Hung Gauge invariants from the powers of antipodes. (English) Zbl 1396.16026 Pac. J. Math. 291, No. 2, 439-460 (2017). MSC: 16T05 16G99 18D20 18D10 PDFBibTeX XMLCite \textit{C. Negron} and \textit{S.-H. Ng}, Pac. J. Math. 291, No. 2, 439--460 (2017; Zbl 1396.16026) Full Text: DOI arXiv
Meir, Ehud Semisimple Hopf algebras via geometric invariant theory. (English) Zbl 1459.16034 Adv. Math. 311, 61-90 (2017). MSC: 16T05 PDFBibTeX XMLCite \textit{E. Meir}, Adv. Math. 311, 61--90 (2017; Zbl 1459.16034) Full Text: DOI arXiv
Burciu, Sebastian On the Grothendieck rings of generalized Drinfeld doubles. (English) Zbl 1384.16019 J. Algebra 486, 14-35 (2017). Reviewer: Loïc Foissy (Calais) MSC: 16T05 18D10 PDFBibTeX XMLCite \textit{S. Burciu}, J. Algebra 486, 14--35 (2017; Zbl 1384.16019) Full Text: DOI
Skryabin, Serge Finiteness of the number of coideal subalgebras. (English) Zbl 1371.16034 Proc. Am. Math. Soc. 145, No. 7, 2859-2869 (2017). Reviewer: Loïc Foissy (Calais) MSC: 16T05 PDFBibTeX XMLCite \textit{S. Skryabin}, Proc. Am. Math. Soc. 145, No. 7, 2859--2869 (2017; Zbl 1371.16034) Full Text: DOI
Sage, Daniel S.; Vega, Maria D. Twisted exponents and twisted Frobenius-Schur indicators for Hopf algebras. (English) Zbl 1385.16031 Commun. Algebra 45, No. 1, 9-16 (2017). MSC: 16T05 20C15 PDFBibTeX XMLCite \textit{D. S. Sage} and \textit{M. D. Vega}, Commun. Algebra 45, No. 1, 9--16 (2017; Zbl 1385.16031) Full Text: DOI arXiv
Lü, J.-F.; Mao, X.-F.; Zhang, J. J. Nakayama automorphism and applications. (English) Zbl 1396.16004 Trans. Am. Math. Soc. 369, No. 4, 2425-2460 (2017). MSC: 16E40 16S36 16E65 16T05 16S38 PDFBibTeX XMLCite \textit{J. F. Lü} et al., Trans. Am. Math. Soc. 369, No. 4, 2425--2460 (2017; Zbl 1396.16004) Full Text: DOI arXiv
Eryashkin, Mikhail S. Invariants of the action of a semisimple Hopf algebra on PI-algebra. (English. Russian original) Zbl 1359.16031 Russ. Math. 60, No. 8, 17-28 (2016); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 2016, No. 8, 21-34 (2016). Reviewer: Małgorzata E. Hryniewicka (Białystok) MSC: 16T05 16R20 PDFBibTeX XMLCite \textit{M. S. Eryashkin}, Russ. Math. 60, No. 8, 17--28 (2016; Zbl 1359.16031); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 2016, No. 8, 21--34 (2016) Full Text: DOI
Dai, Li; Dong, Jingcheng On Kaplansky’s sixth conjecture. (English) Zbl 1354.16035 Rend. Semin. Mat. Univ. Padova 135, 1-20 (2016). Reviewer: Giovanna Carnovale (Padova) MSC: 16T05 18D10 PDFBibTeX XMLCite \textit{L. Dai} and \textit{J. Dong}, Rend. Semin. Mat. Univ. Padova 135, 1--20 (2016; Zbl 1354.16035) Full Text: DOI arXiv
Wu, Jinyong; Liu, Gongxiang; Ding, Nanqing Classification of affine prime regular Hopf algebras of GK-dimension one. (English) Zbl 1350.16024 Adv. Math. 296, 1-54 (2016). Reviewer: Małgorzata E. Hryniewicka (Białystok) MSC: 16T05 16P90 16E65 16P40 PDFBibTeX XMLCite \textit{J. Wu} et al., Adv. Math. 296, 1--54 (2016; Zbl 1350.16024) Full Text: DOI arXiv
Sommerhäuser, Yorck Triviality theorems for Yetter-Drinfel’d Hopf algebras. (English) Zbl 1346.16028 J. Algebra 454, 475-519 (2016). Reviewer: Serban Raianu (Carson) MSC: 16T05 PDFBibTeX XMLCite \textit{Y. Sommerhäuser}, J. Algebra 454, 475--519 (2016; Zbl 1346.16028) Full Text: DOI arXiv
Shimizu, Kenichi; Wakui, Michihisa Schrödinger representations from the viewpoint of tensor categories. (English) Zbl 1342.16030 Algebr. Represent. Theory 18, No. 6, 1623-1647 (2015). MSC: 16T05 18D10 16D90 PDFBibTeX XMLCite \textit{K. Shimizu} and \textit{M. Wakui}, Algebr. Represent. Theory 18, No. 6, 1623--1647 (2015; Zbl 1342.16030) Full Text: DOI arXiv
Etingof, Pavel; Walton, Chelsea Pointed Hopf actions on fields. I. (English) Zbl 1338.16035 Transform. Groups 20, No. 4, 985-1013 (2015). Reviewer: Sonia Natale (Córdoba) MSC: 16T05 16S40 13B05 81R50 PDFBibTeX XMLCite \textit{P. Etingof} and \textit{C. Walton}, Transform. Groups 20, No. 4, 985--1013 (2015; Zbl 1338.16035) Full Text: DOI arXiv
Bruguières, A.; Burciu, Sebastian On normal tensor functors and coset decompositions for fusion categories. (English) Zbl 1333.18008 Appl. Categ. Struct. 23, No. 4, 591-608 (2015). Reviewer: Liu Gongxiang (Nanjing) MSC: 18D10 PDFBibTeX XMLCite \textit{A. Bruguières} and \textit{S. Burciu}, Appl. Categ. Struct. 23, No. 4, 591--608 (2015; Zbl 1333.18008) Full Text: DOI arXiv
Shimizu, Kenichi On indicators of Hopf algebras. (English) Zbl 1326.16026 Isr. J. Math. 207, Part 1, 155-201 (2015). Reviewer: Sonia Natale (Córdoba) MSC: 16T05 18D10 PDFBibTeX XMLCite \textit{K. Shimizu}, Isr. J. Math. 207, Part 1, 155--201 (2015; Zbl 1326.16026) Full Text: DOI arXiv
Burciu, Sebastian On a symmetry of Müger’s centralizer for the Drinfeld double of a semisimple Hopf algebra. (English) Zbl 1315.16026 Math. Z. 279, No. 1-2, 227-240 (2015). Reviewer: Sonia Natale (Córdoba) MSC: 16T05 18D10 PDFBibTeX XMLCite \textit{S. Burciu}, Math. Z. 279, No. 1--2, 227--240 (2015; Zbl 1315.16026) Full Text: DOI arXiv
Wang, Dingguo; Chen, Quanguo A Maschke type theorem for weak group entwined modules and applications. (English) Zbl 1317.16030 Isr. J. Math. 204, 329-358 (2014). Reviewer: Constantin Năstăsescu (Bucureşti) MSC: 16T15 16T05 18D10 16D90 PDFBibTeX XMLCite \textit{D. Wang} and \textit{Q. Chen}, Isr. J. Math. 204, 329--358 (2014; Zbl 1317.16030) Full Text: DOI
Ishii, Atsushi; Masuoka, Akira Handlebody-knot invariants derived from unimodular Hopf algebras. (English) Zbl 1302.57040 J. Knot Theory Ramifications 23, No. 7, Article ID 1460001, 24 p. (2014). MSC: 57M27 57M25 57M15 16T05 PDFBibTeX XMLCite \textit{A. Ishii} and \textit{A. Masuoka}, J. Knot Theory Ramifications 23, No. 7, Article ID 1460001, 24 p. (2014; Zbl 1302.57040) Full Text: DOI arXiv
Burciu, Sebastian Normal Hopf subalgebras of semisimple Drinfeld doubles. (English) Zbl 1290.16027 J. Pure Appl. Algebra 218, No. 3, 540-552 (2014). Reviewer: Sonia Natale (Córdoba) MSC: 16T05 18D10 PDFBibTeX XMLCite \textit{S. Burciu}, J. Pure Appl. Algebra 218, No. 3, 540--552 (2014; Zbl 1290.16027) Full Text: DOI arXiv
Burciu, Sebastian Kernels of representations of Drinfeld doubles of finite groups. (English) Zbl 1306.16025 Cent. Eur. J. Math. 11, No. 11, 1900-1913 (2013). Reviewer: Sonia Natale (Córdoba) MSC: 16T05 18D10 PDFBibTeX XMLCite \textit{S. Burciu}, Cent. Eur. J. Math. 11, No. 11, 1900--1913 (2013; Zbl 1306.16025) Full Text: DOI
Davydov, Alexei; Runkel, Ingo \(\mathbb Z/2\mathbb Z\)-extensions of Hopf algebra module categories by their base categories. (English) Zbl 1328.18009 Adv. Math. 247, 192-265 (2013). Reviewer: Daniel Bulacu (Bucharest) MSC: 18D10 16T05 PDFBibTeX XMLCite \textit{A. Davydov} and \textit{I. Runkel}, Adv. Math. 247, 192--265 (2013; Zbl 1328.18009) Full Text: DOI arXiv
Burciu, Sebastian Depth one extensions of semisimple algebras and Hopf subalgebras. (English) Zbl 1296.16028 Algebr. Represent. Theory 16, No. 6, 1577-1586 (2013). Reviewer: Sorin Dascalescu (Bucureşti) MSC: 16T05 16D20 13B02 16G10 PDFBibTeX XMLCite \textit{S. Burciu}, Algebr. Represent. Theory 16, No. 6, 1577--1586 (2013; Zbl 1296.16028) Full Text: DOI arXiv
Beattie, Margaret; García, Gastón Andrés Techniques for classifying Hopf algebras and applications to dimension \(p^3\). (English) Zbl 1279.16025 Commun. Algebra 41, No. 8, 3108-3129 (2013). Reviewer: Sonia Natale (Córdoba) MSC: 16T05 PDFBibTeX XMLCite \textit{M. Beattie} and \textit{G. A. García}, Commun. Algebra 41, No. 8, 3108--3129 (2013; Zbl 1279.16025) Full Text: DOI arXiv
Agore, A. L. Crossed product of Hopf algebras. (English) Zbl 1348.16025 Commun. Algebra 41, No. 7, 2519-2542 (2013). MSC: 16T05 16S40 16T10 PDFBibTeX XMLCite \textit{A. L. Agore}, Commun. Algebra 41, No. 7, 2519--2542 (2013; Zbl 1348.16025) Full Text: DOI arXiv
Liu, Gongxiang Basic Hopf algebras of tame type. (English) Zbl 1285.16028 Algebr. Represent. Theory 16, No. 3, 771-791 (2013). Reviewer: Justyna Kosakowska (Toruń) MSC: 16T05 16G60 PDFBibTeX XMLCite \textit{G. Liu}, Algebr. Represent. Theory 16, No. 3, 771--791 (2013; Zbl 1285.16028) Full Text: DOI
Sommerhäuser, Yorck; Zhu, Yongchang Hopf algebras and congruence subgroups. (English) Zbl 1314.16021 Mem. Am. Math. Soc. 1028, vi, 134 p. (2012). Reviewer: Earl J. Taft (Berkeley) MSC: 16T05 20H05 17B37 PDFBibTeX XMLCite \textit{Y. Sommerhäuser} and \textit{Y. Zhu}, Hopf algebras and congruence subgroups. Providence, RI: American Mathematical Society (AMS) (2012; Zbl 1314.16021) Full Text: DOI arXiv
Dong, Jingcheng Structure theorems for semisimple Hopf algebras of dimension \(pq^3\). (English) Zbl 1263.16032 Commun. Algebra 40, No. 12, 4673-4678 (2012). MSC: 16T05 PDFBibTeX XMLCite \textit{J. Dong}, Commun. Algebra 40, No. 12, 4673--4678 (2012; Zbl 1263.16032) Full Text: DOI arXiv
Fuchs, Jürgen; Schweigert, Christoph; Stigner, Carl Modular invariant Frobenius algebras from ribbon Hopf algebra automorphisms. (English) Zbl 1296.16029 J. Algebra 363, 29-72 (2012). Reviewer: Jörg Feldvoss (Mobile) MSC: 16T05 17B81 18D10 57M50 81T40 PDFBibTeX XMLCite \textit{J. Fuchs} et al., J. Algebra 363, 29--72 (2012; Zbl 1296.16029) Full Text: DOI arXiv
Sage, Daniel S.; Vega, Maria D. Twisted Frobenius-Schur indicators for Hopf algebras. (English) Zbl 1280.16027 J. Algebra 354, No. 1, 136-147 (2012). Reviewer: Stefaan Caenepeel (Brussels) MSC: 16T05 20C15 PDFBibTeX XMLCite \textit{D. S. Sage} and \textit{M. D. Vega}, J. Algebra 354, No. 1, 136--147 (2012; Zbl 1280.16027) Full Text: DOI arXiv
Burciu, Sebastian On normal Hopf subalgebras of semisimple Hopf algebras. (English) Zbl 1254.16023 Algebr. Represent. Theory 15, No. 3, 491-506 (2012). Reviewer: Vyacheslav A. Artamonov (Moskva) MSC: 16T05 PDFBibTeX XMLCite \textit{S. Burciu}, Algebr. Represent. Theory 15, No. 3, 491--506 (2012; Zbl 1254.16023) Full Text: DOI arXiv
Keilberg, Marc Higher indicators for some groups and their doubles. (English) Zbl 1255.16035 J. Algebra Appl. 11, No. 2, 1250030, 38 p. (2012). Reviewer: Sonia Natale (Córdoba) MSC: 16T05 20C15 PDFBibTeX XMLCite \textit{M. Keilberg}, J. Algebra Appl. 11, No. 2, 1250030, 38 p. (2012; Zbl 1255.16035) Full Text: DOI arXiv
Dong, Jingcheng Structure of semisimple Hopf algebras of dimension \(p^2q^2\). (English) Zbl 1248.16028 Commun. Algebra 40, No. 3, 795-806 (2012). Reviewer: Sonia Natale (Córdoba) MSC: 16T05 PDFBibTeX XMLCite \textit{J. Dong}, Commun. Algebra 40, No. 3, 795--806 (2012; Zbl 1248.16028) Full Text: DOI arXiv
Burciu, Sebastian; Pasol, Vicentiu Fusion rings arising from normal Hopf subalgebras. (English) Zbl 1245.16025 Algebr. Represent. Theory 14, No. 1, 41-55 (2011). Reviewer: Sonia Natale (Córdoba) MSC: 16T05 PDFBibTeX XMLCite \textit{S. Burciu} and \textit{V. Pasol}, Algebr. Represent. Theory 14, No. 1, 41--55 (2011; Zbl 1245.16025) Full Text: DOI arXiv
Cheng, Yi-Lin; Ng, Siu-Hung On Hopf algebras of dimension \(4p\). (English) Zbl 1223.16012 J. Algebra 328, No. 1, 399-419 (2011). Reviewer: Sonia Natale (Córdoba) MSC: 16T05 PDFBibTeX XMLCite \textit{Y.-L. Cheng} and \textit{S.-H. Ng}, J. Algebra 328, No. 1, 399--419 (2011; Zbl 1223.16012) Full Text: DOI arXiv
Burciu, Sebastian Clifford theory for cocentral extensions. (English) Zbl 1231.16022 Isr. J. Math. 181, 111-123 (2011). Reviewer: Constantin Năstăsescu (Bucureşti) MSC: 16T05 PDFBibTeX XMLCite \textit{S. Burciu}, Isr. J. Math. 181, 111--123 (2011; Zbl 1231.16022) Full Text: DOI arXiv
Ng, Siu-Hung; Schauenburg, Peter Congruence subgroups and generalized Frobenius-Schur indicators. (English) Zbl 1206.18007 Commun. Math. Phys. 300, No. 1, 1-46 (2010). Reviewer: Christopher P. Bendel (Menomonie) MSC: 18D10 16T05 20C35 20G05 81T40 PDFBibTeX XMLCite \textit{S.-H. Ng} and \textit{P. Schauenburg}, Commun. Math. Phys. 300, No. 1, 1--46 (2010; Zbl 1206.18007) Full Text: DOI arXiv
García, Gastón Andrés; Vay, Cristian Hopf algebras of dimension 16. (English) Zbl 1204.16022 Algebr. Represent. Theory 13, No. 4, 383-405 (2010). Reviewer: Sonia Natale (Córdoba) MSC: 16T05 PDFBibTeX XMLCite \textit{G. A. García} and \textit{C. Vay}, Algebr. Represent. Theory 13, No. 4, 383--405 (2010; Zbl 1204.16022) Full Text: DOI arXiv
Wakui, Michihisa Polynomial invariants for a semisimple and cosemisimple Hopf algebra of finite dimension. (English) Zbl 1215.16021 J. Pure Appl. Algebra 214, No. 6, 701-728 (2010). Reviewer: Li Fang (Hangzhou) MSC: 16T05 18D10 19A22 16T20 PDFBibTeX XMLCite \textit{M. Wakui}, J. Pure Appl. Algebra 214, No. 6, 701--728 (2010; Zbl 1215.16021) Full Text: DOI arXiv
Beattie, Margaret A survey of Hopf algebras of low dimension. (English) Zbl 1191.16030 Acta Appl. Math. 108, No. 1, 19-31 (2009). Reviewer: Sonia Natale (Córdoba) MSC: 16T05 PDFBibTeX XMLCite \textit{M. Beattie}, Acta Appl. Math. 108, No. 1, 19--31 (2009; Zbl 1191.16030) Full Text: DOI
Burciu, Sebastian Normal Hopf subalgebras of semisimple Hopf algebras. (English) Zbl 1191.16031 Proc. Am. Math. Soc. 137, No. 12, 3969-3979 (2009). Reviewer: Zhang Liangyun (Nanjing) MSC: 16T05 PDFBibTeX XMLCite \textit{S. Burciu}, Proc. Am. Math. Soc. 137, No. 12, 3969--3979 (2009; Zbl 1191.16031) Full Text: DOI arXiv
Burciu, Sebastian Coset decomposition for semisimple Hopf algebras. (English) Zbl 1193.16025 Commun. Algebra 37, No. 10, 3573-3585 (2009). Reviewer: Constantin Năstăsescu (Bucureşti) MSC: 16T05 PDFBibTeX XMLCite \textit{S. Burciu}, Commun. Algebra 37, No. 10, 3573--3585 (2009; Zbl 1193.16025) Full Text: DOI arXiv
Ju, Tengxia The global dimensions of crossed products and crossed coproducts. (English) Zbl 1214.16027 Acta Math. Sin., Engl. Ser. 25, No. 5, 831-844 (2009). Reviewer: Serban Raianu (Carson) MSC: 16T05 16E10 16T15 16S35 PDFBibTeX XMLCite \textit{T. Ju}, Acta Math. Sin., Engl. Ser. 25, No. 5, 831--844 (2009; Zbl 1214.16027) Full Text: DOI
Jedwab, Andrea; Montgomery, Susan Representations of some Hopf algebras associated to the symmetric group \(S_n\). (English) Zbl 1200.16048 Algebr. Represent. Theory 12, No. 1, 1-17 (2009). Reviewer: Sonia Natale (Córdoba) MSC: 16T05 16S40 20B30 16G30 20D40 20C15 PDFBibTeX XMLCite \textit{A. Jedwab} and \textit{S. Montgomery}, Algebr. Represent. Theory 12, No. 1, 1--17 (2009; Zbl 1200.16048) Full Text: DOI arXiv
Burciu, Sebastian; Kadison, Lars Depth two Hopf subalgebras of a semisimple Hopf algebra. (English) Zbl 1184.16030 J. Algebra 322, No. 1, 162-176 (2009). Reviewer: Huang Hua-Lin (Shandong) MSC: 16T05 PDFBibTeX XMLCite \textit{S. Burciu} and \textit{L. Kadison}, J. Algebra 322, No. 1, 162--176 (2009; Zbl 1184.16030) Full Text: DOI
Bulacu, D.; Caenepeel, S.; Torrecillas, B. Involutory quasi-Hopf algebras. (English) Zbl 1182.16022 Algebr. Represent. Theory 12, No. 2-5, 257-285 (2009). Reviewer: Constantin Năstăsescu (Bucureşti) MSC: 16T05 18D10 PDFBibTeX XMLCite \textit{D. Bulacu} et al., Algebr. Represent. Theory 12, No. 2--5, 257--285 (2009; Zbl 1182.16022) Full Text: DOI arXiv
Ferrer Santos, Walter; Haim, Mariana Radford’s formula for biFrobenius algebras and applications. (English) Zbl 1148.16034 Commun. Algebra 36, No. 4, 1301-1310 (2008). MSC: 16W30 PDFBibTeX XMLCite \textit{W. Ferrer Santos} and \textit{M. Haim}, Commun. Algebra 36, No. 4, 1301--1310 (2008; Zbl 1148.16034) Full Text: DOI arXiv
Ng, Siu-Hung Hopf algebras of dimension \(pq\). II. (English) Zbl 1145.16023 J. Algebra 319, No. 7, 2772-2788 (2008). Reviewer: Sonia Natale (München) MSC: 16W30 PDFBibTeX XMLCite \textit{S.-H. Ng}, J. Algebra 319, No. 7, 2772--2788 (2008; Zbl 1145.16023) Full Text: DOI arXiv
Ng, Siu-Hung; Schauenburg, Peter Central invariants and higher indicators for semisimple quasi-Hopf algebras. (English) Zbl 1141.16028 Trans. Am. Math. Soc. 360, No. 4, 1839-1860 (2008). Reviewer: Constantin Năstăsescu (Bucureşti) MSC: 16W30 18D10 81R05 PDFBibTeX XMLCite \textit{S.-H. Ng} and \textit{P. Schauenburg}, Trans. Am. Math. Soc. 360, No. 4, 1839--1860 (2008; Zbl 1141.16028) Full Text: DOI arXiv
Bulacu, Daniel; Torrecillas, Blas The representation-theoretic rank of the doubles of quasi-quantum groups. (English) Zbl 1139.16025 J. Pure Appl. Algebra 212, No. 4, 919-940 (2008). Reviewer: Margaret Beattie (Sackville) MSC: 16W30 16W35 18D10 PDFBibTeX XMLCite \textit{D. Bulacu} and \textit{B. Torrecillas}, J. Pure Appl. Algebra 212, No. 4, 919--940 (2008; Zbl 1139.16025) Full Text: DOI arXiv
Hu, Jun; Zhang, Yinhuo Induced modules of semisimple Hopf algebras. (English) Zbl 1146.16019 Algebra Colloq. 14, No. 4, 571-584 (2007). Reviewer: Sonia Natale (München) MSC: 16W30 16D60 PDFBibTeX XMLCite \textit{J. Hu} and \textit{Y. Zhang}, Algebra Colloq. 14, No. 4, 571--584 (2007; Zbl 1146.16019) Full Text: DOI
Hu, Jun; Zhang, Yinhuo \(\beta\)-character algebra and a commuting pair in Hopf algebras. (English) Zbl 1144.16031 Algebr. Represent. Theory 10, No. 5, 497-516 (2007). Reviewer: Margaret Beattie (Sackville) MSC: 16W30 16D60 16W35 PDFBibTeX XMLCite \textit{J. Hu} and \textit{Y. Zhang}, Algebr. Represent. Theory 10, No. 5, 497--516 (2007; Zbl 1144.16031) Full Text: DOI
Linchenko, V.; Montgomery, S. Semiprime smash products and \(H\)-stable prime radicals for PI-algebras. (English) Zbl 1139.16027 Proc. Am. Math. Soc. 135, No. 10, 3091-3098 (2007). Reviewer: Sonia Natale (Cordoba) MSC: 16W30 16N20 16N60 16R99 16S40 PDFBibTeX XMLCite \textit{V. Linchenko} and \textit{S. Montgomery}, Proc. Am. Math. Soc. 135, No. 10, 3091--3098 (2007; Zbl 1139.16027) Full Text: DOI
Lu, D.-M.; Wu, Q.-S.; Zhang, James J. Homological integral of Hopf algebras. (English) Zbl 1145.16022 Trans. Am. Math. Soc. 359, No. 10, 4945-4975 (2007). Reviewer: Phùng Hô Hai (Essen) MSC: 16T05 16E65 16E30 16P90 PDFBibTeX XMLCite \textit{D. M. Lu} et al., Trans. Am. Math. Soc. 359, No. 10, 4945--4975 (2007; Zbl 1145.16022) Full Text: DOI arXiv
Beattie, Margaret; Bulacu, Daniel; Torrecillas, Blas Radford’s \(S^4\) formula for co-Frobenius Hopf algebras. (English) Zbl 1115.16016 J. Algebra 307, No. 1, 330-342 (2007). Reviewer: Sorin Dascalescu (Bucureşti) MSC: 16W30 PDFBibTeX XMLCite \textit{M. Beattie} et al., J. Algebra 307, No. 1, 330--342 (2007; Zbl 1115.16016) Full Text: DOI arXiv
Cohen, Miriam; Gelaki, Shlomo; Westreich, Sara Hopf algebras. (English) Zbl 1210.16029 Hazewinkel, M. (ed.), Handbook of algebra. Volume 4. Amsterdam: Elsevier/North-Holland (ISBN 978-0-444-52213-9/hbk). Handbook of Algebra 4, 173-239 (2006). Reviewer: Florin Nicolae (Berlin) MSC: 16T05 16T15 16-02 PDFBibTeX XMLCite \textit{M. Cohen} et al., Handb. Algebra 4, 173--239 (2006; Zbl 1210.16029) Full Text: DOI
Kodiyalam, Vijay; Sunder, V. S. The planar algebra of a semisimple and cosemisimple Hopf algebra. (English) Zbl 1116.46041 Proc. Indian Acad. Sci., Math. Sci. 116, No. 4, 443-458 (2006). MSC: 46L05 16W30 PDFBibTeX XMLCite \textit{V. Kodiyalam} and \textit{V. S. Sunder}, Proc. Indian Acad. Sci., Math. Sci. 116, No. 4, 443--458 (2006; Zbl 1116.46041) Full Text: DOI arXiv
Burciu, S. On some representations of the Drinfel’d double. (English) Zbl 1094.16025 J. Algebra 296, No. 2, 480-504 (2006). Reviewer: Sonia Natale (Cordoba) MSC: 16W30 PDFBibTeX XMLCite \textit{S. Burciu}, J. Algebra 296, No. 2, 480--504 (2006; Zbl 1094.16025) Full Text: DOI
Landers, Rachel; Montgomery, Susan; Schauenburg, Peter Hopf powers and orders for some bismash products. (English) Zbl 1089.16023 J. Pure Appl. Algebra 205, No. 1, 156-188 (2006). Reviewer: Alan Koch (Decatur) MSC: 16W30 16S34 PDFBibTeX XMLCite \textit{R. Landers} et al., J. Pure Appl. Algebra 205, No. 1, 156--188 (2006; Zbl 1089.16023) Full Text: DOI arXiv
Liu, Gongxiang A note on the global dimension of smash products. (English) Zbl 1076.16037 Commun. Algebra 33, No. 8, 2625-2627 (2005). MSC: 16W30 16E10 PDFBibTeX XMLCite \textit{G. Liu}, Commun. Algebra 33, No. 8, 2625--2627 (2005; Zbl 1076.16037) Full Text: DOI
Ng, Siu-Hung Hopf algebras of dimension \(2p\). (English) Zbl 1069.16043 Proc. Am. Math. Soc. 133, No. 8, 2237-2242 (2005). Reviewer: Sonia Natale (Cordoba) MSC: 16W30 PDFBibTeX XMLCite \textit{S.-H. Ng}, Proc. Am. Math. Soc. 133, No. 8, 2237--2242 (2005; Zbl 1069.16043) Full Text: DOI arXiv
Mason, Geoffrey; Ng, Siu-Hung Central invariants and Frobenius-Schur indicators for semisimple quasi-Hopf algebras. (English) Zbl 1100.16033 Adv. Math. 190, No. 1, 161-195 (2005). Reviewer: Sonia Natale (Cordoba) MSC: 16W30 18D10 PDFBibTeX XMLCite \textit{G. Mason} and \textit{S.-H. Ng}, Adv. Math. 190, No. 1, 161--195 (2005; Zbl 1100.16033) Full Text: DOI arXiv
Sommerhäuser, Yorck Ribbon transformations, integrals, and triangular decompositions. (English) Zbl 1103.16027 J. Algebra 282, No. 2, 423-489 (2004). Reviewer: Sonia Natale (Cordoba) MSC: 16W30 18D10 17B37 PDFBibTeX XMLCite \textit{Y. Sommerhäuser}, J. Algebra 282, No. 2, 423--489 (2004; Zbl 1103.16027) Full Text: DOI
Yang, Shilin; Wang, Dingguo \(U_q^{res}({\mathfrak s}{\mathfrak l}_2)\)-invariant forms on their modules. (English) Zbl 1092.17010 Commun. Algebra 32, No. 5, 1685-1703 (2004). Reviewer: Earl J. Taft (New Brunswick) MSC: 17B37 17B10 PDFBibTeX XMLCite \textit{S. Yang} and \textit{D. Wang}, Commun. Algebra 32, No. 5, 1685--1703 (2004; Zbl 1092.17010) Full Text: DOI
Ng, Siu-Hung Hopf algebras of dimension \(pq\). (English) Zbl 1057.16031 J. Algebra 276, No. 1, 399-406 (2004). Reviewer: Sonia Natale (Cordoba) MSC: 16W30 PDFBibTeX XMLCite \textit{S.-H. Ng}, J. Algebra 276, No. 1, 399--406 (2004; Zbl 1057.16031) Full Text: DOI arXiv
Nikshych, Dmitri Semisimple weak Hopf algebras. (English) Zbl 1066.16042 J. Algebra 275, No. 2, 639-667 (2004). Reviewer: Sorin Dascalescu (Safat) MSC: 16W30 18D10 PDFBibTeX XMLCite \textit{D. Nikshych}, J. Algebra 275, No. 2, 639--667 (2004; Zbl 1066.16042) Full Text: DOI arXiv
Michaelis, Walter Coassociative coalgebras. (English) Zbl 1078.16046 Hazewinkel, M. (ed.), Handbook of algebra. Volume 3. Amsterdam: Elsevier (ISBN 0-444-51264-0/hbk). 587-788 (2003). Reviewer: Earl J. Taft (New Brunswick) MSC: 16W30 16-02 00A20 PDFBibTeX XMLCite \textit{W. Michaelis}, in: Handbook of algebra. Volume 3. Amsterdam: Elsevier. 587--788 (2003; Zbl 1078.16046)
Kadison, Lars; Szlachányi, Kornél Bialgebroid actions on depth two extensions and duality. (English) Zbl 1049.16022 Adv. Math. 179, No. 1, 75-121 (2003). Reviewer: Tomasz Brzeziński (Swansea) MSC: 16W30 16H05 13B02 22D30 46L37 PDFBibTeX XMLCite \textit{L. Kadison} and \textit{K. Szlachányi}, Adv. Math. 179, No. 1, 75--121 (2003; Zbl 1049.16022) Full Text: DOI
El Alaoui, A. The character table for a Hopf algebra arising from the Drinfel’d double. (English) Zbl 1035.16031 J. Algebra 265, No. 2, 478-495 (2003). Reviewer: Sonia Natale (Cordoba) MSC: 16W30 PDFBibTeX XMLCite \textit{A. El Alaoui}, J. Algebra 265, No. 2, 478--495 (2003; Zbl 1035.16031) Full Text: DOI
Müger, Michael From subfactors to categories and topology. I: Frobenius algebras in and Morita equivalence of tensor categories. (English) Zbl 1033.18002 J. Pure Appl. Algebra 180, No. 1-2, 81-157 (2003). Reviewer: Ross H. Street (North Ryde) MSC: 18D10 18D05 46L37 PDFBibTeX XMLCite \textit{M. Müger}, J. Pure Appl. Algebra 180, No. 1--2, 81--157 (2003; Zbl 1033.18002) Full Text: DOI arXiv
Wu, Q.-S.; Zhang, J. J. Noetherian PI Hopf algebras are Gorenstein. (English) Zbl 1019.16028 Trans. Am. Math. Soc. 355, No. 3, 1043-1066 (2003). Reviewer: Kenneth A.Brown (Glasgow) MSC: 16W30 16E10 16R99 16P40 16P90 16E65 PDFBibTeX XMLCite \textit{Q. S. Wu} and \textit{J. J. Zhang}, Trans. Am. Math. Soc. 355, No. 3, 1043--1066 (2003; Zbl 1019.16028) Full Text: DOI
Kashina, Yevgenia; Sommerhäuser, Yorck; Zhu, Yongchang Self-dual modules of semisimple Hopf algebras. (English) Zbl 1048.16024 J. Algebra 257, No. 1, 88-96 (2002). Reviewer: Serban Raianu (Carson) MSC: 16W30 16D60 PDFBibTeX XMLCite \textit{Y. Kashina} et al., J. Algebra 257, No. 1, 88--96 (2002; Zbl 1048.16024) Full Text: DOI arXiv
Wu, Q.-S.; Zhang, J. J. Regularity of involutory PI Hopf algebras. (English) Zbl 1065.16036 J. Algebra 256, No. 2, 599-610 (2002). Reviewer: Martin D. Crossley (Swansea) MSC: 16W30 16E10 16R20 PDFBibTeX XMLCite \textit{Q. S. Wu} and \textit{J. J. Zhang}, J. Algebra 256, No. 2, 599--610 (2002; Zbl 1065.16036) Full Text: DOI
Aljadeff, Eli; Etingof, Pavel; Gelaki, Shlomo; Nikshych, Dmitri On twisting of finite-dimensional Hopf algebras. (English) Zbl 1053.16026 J. Algebra 256, No. 2, 484-501 (2002). Reviewer: Nicolás Andruskiewitsch (Cordoba) MSC: 16W30 PDFBibTeX XMLCite \textit{E. Aljadeff} et al., J. Algebra 256, No. 2, 484--501 (2002; Zbl 1053.16026) Full Text: DOI arXiv
Ng, Siu-Hung Non-semisimple Hopf algebras of dimension \(p^2\). (English) Zbl 1041.16028 J. Algebra 255, No. 1, 182-197 (2002). Reviewer: Sonia Natale (Cordoba) MSC: 16W30 PDFBibTeX XMLCite \textit{S.-H. Ng}, J. Algebra 255, No. 1, 182--197 (2002; Zbl 1041.16028) Full Text: DOI arXiv
Kashina, Y.; Mason, G.; Montgomery, S. Computing the Frobenius-Schur indicator for Abelian extensions of Hopf algebras. (English) Zbl 1012.16040 J. Algebra 251, No. 2, 888-913 (2002). Reviewer: Alan Koch (Decatur) MSC: 16W30 20C30 PDFBibTeX XMLCite \textit{Y. Kashina} et al., J. Algebra 251, No. 2, 888--913 (2002; Zbl 1012.16040) Full Text: DOI arXiv
Nikshych, Dmitri On the structure of weak Hopf algebras. (English) Zbl 1010.16041 Adv. Math. 170, No. 2, 257-286 (2002). Reviewer: Earl J.Taft (New Brunswick) MSC: 16W30 PDFBibTeX XMLCite \textit{D. Nikshych}, Adv. Math. 170, No. 2, 257--286 (2002; Zbl 1010.16041) Full Text: DOI arXiv
Yamagami, Shigeru Tannaka duals in semisimple tensor categories. (English) Zbl 1025.18003 J. Algebra 253, No. 2, 350-391 (2002). Reviewer: Chen Hui-Xiang (Yangzhou) MSC: 18D10 16W30 PDFBibTeX XMLCite \textit{S. Yamagami}, J. Algebra 253, No. 2, 350--391 (2002; Zbl 1025.18003) Full Text: DOI arXiv
Radford, David E.; Schneider, Hans-Jürgen On the even powers of the antipode of a finite-dimensional Hopf algebra. (English) Zbl 1005.16038 J. Algebra 251, No. 1, 185-212 (2002). Reviewer: Alan Koch (Decatur) MSC: 16W30 PDFBibTeX XMLCite \textit{D. E. Radford} and \textit{H.-J. Schneider}, J. Algebra 251, No. 1, 185--212 (2002; Zbl 1005.16038) Full Text: DOI