Weber, Moritz Quantum permutation matrices. (English) Zbl 07682964 Complex Anal. Oper. Theory 17, No. 3, Paper No. 37, 26 p. (2023). MSC: 47-XX PDFBibTeX XMLCite \textit{M. Weber}, Complex Anal. Oper. Theory 17, No. 3, Paper No. 37, 26 p. (2023; Zbl 07682964) Full Text: DOI
Mang, Alexander; Weber, Moritz Non-hyperoctahedral categories of two-colored partitions. I: New categories. (English) Zbl 07420381 J. Algebr. Comb. 54, No. 2, 475-513 (2021). MSC: 20G42 05A18 PDFBibTeX XMLCite \textit{A. Mang} and \textit{M. Weber}, J. Algebr. Comb. 54, No. 2, 475--513 (2021; Zbl 07420381) Full Text: DOI arXiv
Banica, Teo Homogeneous quantum groups and their easiness level. (English) Zbl 1479.46082 Kyoto J. Math. 61, No. 1, 171-205 (2021). MSC: 46L67 46L54 PDFBibTeX XMLCite \textit{T. Banica}, Kyoto J. Math. 61, No. 1, 171--205 (2021; Zbl 1479.46082) Full Text: DOI arXiv
Liu, Weihua General de Finetti type theorems in noncommutative probability. (English) Zbl 1433.46044 Commun. Math. Phys. 369, No. 3, 837-866 (2019). Reviewer: Ali Talebi (Mashhad) MSC: 46L53 46L67 PDFBibTeX XMLCite \textit{W. Liu}, Commun. Math. Phys. 369, No. 3, 837--866 (2019; Zbl 1433.46044) Full Text: DOI arXiv
Banica, Teodor Quantum groups, from a functional analysis perspective. (English) Zbl 1416.46066 Adv. Oper. Theory 4, No. 1, 164-196 (2019). MSC: 46L65 46L89 46-02 PDFBibTeX XMLCite \textit{T. Banica}, Adv. Oper. Theory 4, No. 1, 164--196 (2019; Zbl 1416.46066) Full Text: DOI arXiv Euclid
Gromada, Daniel Classification of globally colorized categories of partitions. (English) Zbl 1486.20067 Infin. Dimens. Anal. Quantum Probab. Relat. Top. 21, No. 4, Article ID 1850029, 25 p. (2018). MSC: 20G42 05A18 46L67 PDFBibTeX XMLCite \textit{D. Gromada}, Infin. Dimens. Anal. Quantum Probab. Relat. Top. 21, No. 4, Article ID 1850029, 25 p. (2018; Zbl 1486.20067) Full Text: DOI arXiv
Neshveyev, Sergey; Yamashita, Makoto Categorically Morita equivalent compact quantum groups. (English) Zbl 1508.81885 Doc. Math. 23, 2165-2216 (2018). MSC: 81R50 81R15 16D90 46L89 16L60 PDFBibTeX XMLCite \textit{S. Neshveyev} and \textit{M. Yamashita}, Doc. Math. 23, 2165--2216 (2018; Zbl 1508.81885) Full Text: DOI arXiv
Liu, Weihua Extended de Finetti theorems for Boolean independence and monotone independence. (English) Zbl 1391.46070 Trans. Am. Math. Soc. 370, No. 3, 1959-2003 (2018). Reviewer: Uwe Franz (Besançon) MSC: 46L53 46L54 60G09 PDFBibTeX XMLCite \textit{W. Liu}, Trans. Am. Math. Soc. 370, No. 3, 1959--2003 (2018; Zbl 1391.46070) Full Text: DOI arXiv
Tarrago, Pierre; Weber, Moritz The classification of tensor categories of two-colored noncrossing partitions. (English) Zbl 1373.05021 J. Comb. Theory, Ser. A 154, 464-506 (2018). MSC: 05A18 20G42 PDFBibTeX XMLCite \textit{P. Tarrago} and \textit{M. Weber}, J. Comb. Theory, Ser. A 154, 464--506 (2018; Zbl 1373.05021) Full Text: DOI arXiv
Weber, Moritz Introduction to compact (matrix) quantum groups and Banica-Speicher (easy) quantum groups. (English) Zbl 1486.46076 Proc. Indian Acad. Sci., Math. Sci. 127, No. 5, 881-933 (2017). MSC: 46L67 20G42 05A18 PDFBibTeX XMLCite \textit{M. Weber}, Proc. Indian Acad. Sci., Math. Sci. 127, No. 5, 881--933 (2017; Zbl 1486.46076) Full Text: DOI
Bichon, Julien; Neshveyev, Sergey; Yamashita, Makoto Graded twisting of categories and quantum groups by group actions. (Twist gradué des catégories et des groupes quantiques par des actions des groupes.) (English. French summary) Zbl 1372.16036 Ann. Inst. Fourier 66, No. 6, 2299-2338 (2016). Reviewer: Liu Gongxiang (Nanjing) MSC: 16T05 46L65 18D10 20G42 PDFBibTeX XMLCite \textit{J. Bichon} et al., Ann. Inst. Fourier 66, No. 6, 2299--2338 (2016; Zbl 1372.16036) Full Text: DOI arXiv
Banica, Teodor A duality principle for noncommutative cubes and spheres. (English) Zbl 1367.46058 J. Noncommut. Geom. 10, No. 3, 1043-1081 (2016). MSC: 46L65 46L87 46L54 PDFBibTeX XMLCite \textit{T. Banica}, J. Noncommut. Geom. 10, No. 3, 1043--1081 (2016; Zbl 1367.46058) Full Text: DOI arXiv
Freslon, Amaury; Weber, Moritz On the representation theory of partition (easy) quantum groups. (English) Zbl 1368.46068 J. Reine Angew. Math. 720, 155-197 (2016). Reviewer: Adam Skalski (Warszawa) MSC: 46L89 20G05 05E10 20G42 PDFBibTeX XMLCite \textit{A. Freslon} and \textit{M. Weber}, J. Reine Angew. Math. 720, 155--197 (2016; Zbl 1368.46068) Full Text: DOI arXiv
Raum, Sven; Weber, Moritz The full classification of orthogonal easy quantum groups. (English) Zbl 1356.46061 Commun. Math. Phys. 341, No. 3, 751-779 (2016). MSC: 46L89 05E10 PDFBibTeX XMLCite \textit{S. Raum} and \textit{M. Weber}, Commun. Math. Phys. 341, No. 3, 751--779 (2016; Zbl 1356.46061) Full Text: DOI arXiv
Raum, Sven; Weber, Moritz Easy quantum groups and quantum subgroups of a semi-direct product quantum group. (English) Zbl 1350.46047 J. Noncommut. Geom. 9, No. 4, 1261-1293 (2015). Reviewer: Adam Skalski (Warszawa) MSC: 46L89 16T30 46L54 PDFBibTeX XMLCite \textit{S. Raum} and \textit{M. Weber}, J. Noncommut. Geom. 9, No. 4, 1261--1293 (2015; Zbl 1350.46047) Full Text: DOI arXiv
Cirio, Lucio S.; D’Andrea, Alessandro; Pinzari, Claudia; Rossi, Stefano Connected components of compact matrix quantum groups and finiteness conditions. (English) Zbl 1311.46061 J. Funct. Anal. 267, No. 9, 3154-3204 (2014). MSC: 46L89 17B37 18D10 PDFBibTeX XMLCite \textit{L. S. Cirio} et al., J. Funct. Anal. 267, No. 9, 3154--3204 (2014; Zbl 1311.46061) Full Text: DOI arXiv
Raum, Sven; Weber, Moritz The combinatorics of an algebraic class of easy quantum groups. (English) Zbl 1310.46062 Infin. Dimens. Anal. Quantum Probab. Relat. Top. 17, No. 3, Article ID 1450016, 17 p. (2014). MSC: 46L65 46L54 05E10 16T30 17B37 PDFBibTeX XMLCite \textit{S. Raum} and \textit{M. Weber}, Infin. Dimens. Anal. Quantum Probab. Relat. Top. 17, No. 3, Article ID 1450016, 17 p. (2014; Zbl 1310.46062) Full Text: DOI arXiv
Freslon, Amaury Fusion (semi)rings arising from quantum groups. (English) Zbl 1354.46066 J. Algebra 417, 161-197 (2014). MSC: 46L65 20G42 16Y60 PDFBibTeX XMLCite \textit{A. Freslon}, J. Algebra 417, 161--197 (2014; Zbl 1354.46066) Full Text: DOI arXiv
Weber, Moritz On the classification of easy quantum groups. (English) Zbl 1286.46069 Adv. Math. 245, 500-533 (2013). MSC: 46L54 17B37 16T30 05E10 20G42 PDFBibTeX XMLCite \textit{M. Weber}, Adv. Math. 245, 500--533 (2013; Zbl 1286.46069) Full Text: DOI arXiv
Banica, Teodor; Bichon, Julien; Collins, Benoît; Curran, Stephen A maximality result for orthogonal quantum groups. (English) Zbl 1291.46069 Commun. Algebra 41, No. 2, 656-665 (2013). Reviewer: Earl J. Taft (New Brunswick) MSC: 46L89 16T20 16T05 PDFBibTeX XMLCite \textit{T. Banica} et al., Commun. Algebra 41, No. 2, 656--665 (2013; Zbl 1291.46069) Full Text: DOI arXiv
Banica, Teodor; Bhowmick, Jyotishman; De Commer, Kenny Quantum isometries and group dual subgroups. (Isométries quantiques et duaux de groupes.) (English. French summary) Zbl 1250.81057 Ann. Math. Blaise Pascal 19, No. 1, 1-27 (2012). MSC: 81R50 17B37 PDFBibTeX XMLCite \textit{T. Banica} et al., Ann. Math. Blaise Pascal 19, No. 1, 1--27 (2012; Zbl 1250.81057) Full Text: DOI arXiv
Banica, Teodor; Skalski, Adam; Sołtan, Piotr Noncommutative homogeneous spaces: the matrix case. (English) Zbl 1256.46038 J. Geom. Phys. 62, No. 6, 1451-1466 (2012). Reviewer: Madathum K. Viswanath (Chennai) MSC: 46L65 17B37 46L87 PDFBibTeX XMLCite \textit{T. Banica} et al., J. Geom. Phys. 62, No. 6, 1451--1466 (2012; Zbl 1256.46038) Full Text: DOI arXiv
Brannan, Michael Quantum symmetries and strong Haagerup inequalities. (English) Zbl 1245.46050 Commun. Math. Phys. 311, No. 1, 21-53 (2012). MSC: 46L53 46L54 PDFBibTeX XMLCite \textit{M. Brannan}, Commun. Math. Phys. 311, No. 1, 21--53 (2012; Zbl 1245.46050) Full Text: DOI arXiv
Banica, Teodor; Curran, Stephen; Speicher, Roland De Finetti theorems for easy quantum groups. (English) Zbl 1242.46073 Ann. Probab. 40, No. 1, 401-435 (2012). Reviewer: Adam Skalski (Warszawa) MSC: 46L53 16T30 46L54 60G09 PDFBibTeX XMLCite \textit{T. Banica} et al., Ann. Probab. 40, No. 1, 401--435 (2012; Zbl 1242.46073) Full Text: DOI arXiv
Banica, Teodor; Bichon, Julien; Curran, Stephen Quantum automorphisms of twisted group algebras and free hypergeometric laws. (English) Zbl 1235.46068 Proc. Am. Math. Soc. 139, No. 11, 3961-3971 (2011). MSC: 46L65 16T05 46L54 PDFBibTeX XMLCite \textit{T. Banica} et al., Proc. Am. Math. Soc. 139, No. 11, 3961--3971 (2011; Zbl 1235.46068) Full Text: DOI arXiv
Banica, Teodor; Curran, Stephen; Speicher, Roland Stochastic aspects of easy quantum groups. (English) Zbl 1236.60008 Probab. Theory Relat. Fields 149, No. 3-4, 435-462 (2011). MSC: 60B20 60B15 16T30 46L54 PDFBibTeX XMLCite \textit{T. Banica} et al., Probab. Theory Relat. Fields 149, No. 3--4, 435--462 (2011; Zbl 1236.60008) Full Text: DOI arXiv
Curran, Stephen; Speicher, Roland Quantum invariant families of matrices in free probability. (English) Zbl 1222.46050 J. Funct. Anal. 261, No. 4, 897-933 (2011). MSC: 46L54 PDFBibTeX XMLCite \textit{S. Curran} and \textit{R. Speicher}, J. Funct. Anal. 261, No. 4, 897--933 (2011; Zbl 1222.46050) Full Text: DOI arXiv
Banica, Teodor; Curran, Stephen Decomposition results for Gram matrix determinants. (English) Zbl 1314.16023 J. Math. Phys. 51, No. 11, 113503, 14 p. (2010). MSC: 16T20 15A15 46L54 46L65 PDFBibTeX XMLCite \textit{T. Banica} and \textit{S. Curran}, J. Math. Phys. 51, No. 11, 113503, 14 p. (2010; Zbl 1314.16023) Full Text: DOI arXiv