Edie-Michell, Cain; Marinelli, Lance The construction of a \(E_7\)-like quantum subgroup of \(SU(3)\). (English) Zbl 07903253 Commun. Algebra 52, No. 9, 4013-4022 (2024). MSC: 18M20 PDFBibTeX XMLCite \textit{C. Edie-Michell} and \textit{L. Marinelli}, Commun. Algebra 52, No. 9, 4013--4022 (2024; Zbl 07903253) Full Text: DOI arXiv
Henriques, André; Penneys, David; Tener, James Unitary anchored planar algebras. (English) Zbl 07860613 Commun. Math. Phys. 405, No. 6, Paper No. 137, 46 p. (2024). MSC: 46L37 18Dxx 18Mxx PDFBibTeX XMLCite \textit{A. Henriques} et al., Commun. Math. Phys. 405, No. 6, Paper No. 137, 46 p. (2024; Zbl 07860613) Full Text: DOI arXiv OA License
Chen, Quan Standard \(\lambda\)-lattices, rigid \(\mathrm{C}^\ast\) tensor categories, and (bi)modules. (English) Zbl 07822929 Doc. Math. 29, No. 2, 247-341 (2024). Reviewer: Tobias Fritz (Innsbruck) MSC: 18M20 18M30 18N10 46L37 PDFBibTeX XMLCite \textit{Q. Chen}, Doc. Math. 29, No. 2, 247--341 (2024; Zbl 07822929) Full Text: DOI arXiv OA License
Poncini, Xavier; Rasmussen, Jørgen Integrable models from singly generated planar algebras. (English) Zbl 1531.81111 Nucl. Phys., B 994, Article ID 116308, 43 p. (2023). MSC: 81R12 16T25 32M10 PDFBibTeX XMLCite \textit{X. Poncini} and \textit{J. Rasmussen}, Nucl. Phys., B 994, Article ID 116308, 43 p. (2023; Zbl 1531.81111) Full Text: DOI arXiv OA License
Giorgetti, Luca; Yuan, Wei Realization of rigid \(C^\ast \)-bicategories as bimodules over type \(\mathrm{II}_1\) von Neumann algebras. (English) Zbl 1517.46043 Adv. Math. 415, Article ID 108886, 27 p. (2023). MSC: 46L10 46L36 18N10 18M20 PDFBibTeX XMLCite \textit{L. Giorgetti} and \textit{W. Yuan}, Adv. Math. 415, Article ID 108886, 27 p. (2023; Zbl 1517.46043) Full Text: DOI arXiv OA License
Penneys, David Unitary dual functors for unitary multitensor categories. (English) Zbl 1457.18019 High. Struct. 4, No. 2, 22-56 (2020). MSC: 18M05 46L37 18N10 PDFBibTeX XMLCite \textit{D. Penneys}, High. Struct. 4, No. 2, 22--56 (2020; Zbl 1457.18019) Full Text: arXiv
Jiang, Chunlan; Liu, Zhengwei; Wu, Jinsong Block maps and Fourier analysis. (English) Zbl 1428.46037 Sci. China, Math. 62, No. 8, 1585-1614 (2019). MSC: 46L37 43A30 82D40 81U40 PDFBibTeX XMLCite \textit{C. Jiang} et al., Sci. China, Math. 62, No. 8, 1585--1614 (2019; Zbl 1428.46037) Full Text: DOI arXiv
Kodiyalam, Vijay; Murali, Sruthy; Saini, Sohan Lal; Sunder, V. S. On a presentation of the spin planar algebra. (English) Zbl 1447.16026 Proc. Indian Acad. Sci., Math. Sci. 129, No. 2, Paper No. 27, 11 p. (2019). MSC: 16T05 16S40 46L37 PDFBibTeX XMLCite \textit{V. Kodiyalam} et al., Proc. Indian Acad. Sci., Math. Sci. 129, No. 2, Paper No. 27, 11 p. (2019; Zbl 1447.16026) Full Text: DOI arXiv
Jones, Corey; Penneys, David Realizations of algebra objects and discrete subfactors. (English) Zbl 1426.46041 Adv. Math. 350, 588-661 (2019). MSC: 46L37 18M05 PDFBibTeX XMLCite \textit{C. Jones} and \textit{D. Penneys}, Adv. Math. 350, 588--661 (2019; Zbl 1426.46041) Full Text: DOI arXiv
Liu, Zhengwei Quon language: surface algebras and Fourier duality. (English) Zbl 1411.81074 Commun. Math. Phys. 366, No. 3, 865-894 (2019). MSC: 81P45 81U20 14J81 42B10 22D35 PDFBibTeX XMLCite \textit{Z. Liu}, Commun. Math. Phys. 366, No. 3, 865--894 (2019; Zbl 1411.81074) Full Text: DOI arXiv
Banica, Teodor The planar algebra of a fixed point subfactor. (English) Zbl 1414.46048 Ann. Math. Blaise Pascal 25, No. 2, 247-264 (2018). MSC: 46L65 46L37 PDFBibTeX XMLCite \textit{T. Banica}, Ann. Math. Blaise Pascal 25, No. 2, 247--264 (2018; Zbl 1414.46048) Full Text: DOI arXiv OA License
Tarrago, Pierre; Wahl, Jonas Free wreath product quantum groups and standard invariants of subfactors. (English) Zbl 1401.46042 Adv. Math. 331, 1-57 (2018). MSC: 46L37 46L89 46L09 PDFBibTeX XMLCite \textit{P. Tarrago} and \textit{J. Wahl}, Adv. Math. 331, 1--57 (2018; Zbl 1401.46042) Full Text: DOI arXiv
Guionnet, Alice Random matrices and the Potts model on random graphs. (English) Zbl 1388.60026 Sidoravicius, V. (ed.) et al., Probability and statistical physics in St. Petersburg. St. Petersburg School Probability and Statistical Physics, St. Petersburg State University, St. Petersburg, Russia, June 18–29, 2012. Providence, RI: American Mathematical Society (AMS) (ISBN 978-1-4704-2248-6/hbk; 978-1-4704-2883-9/ebook). Proceedings of Symposia in Pure Mathematics 91, 273-302 (2016). MSC: 60B20 05C80 60D05 82B20 PDFBibTeX XMLCite \textit{A. Guionnet}, Proc. Symp. Pure Math. 91, 273--302 (2016; Zbl 1388.60026)
Arano, Yuki; Vaes, Stefaan \( C^{\ast}\)-tensor categories and subfactors for totally disconnected groups. (English) Zbl 1375.46055 Carlsen, Toke M. (ed.) et al., Operator algebras and applications. The Abel symposium 2015 took place on the ship Finnmarken, part of the Coastal Express Line (the Norwegian Hurtigruten), from Bergen to the Lofoten Islands, Norway, August 7–11, 2015. Cham: Springer (ISBN 978-3-319-39284-4/hbk; 978-3-319-39286-8/ebook). Abel Symposia 12, 1-43 (2016). MSC: 46M15 46L37 22D05 PDFBibTeX XMLCite \textit{Y. Arano} and \textit{S. Vaes}, Abel Symp. 12, 1--43 (2016; Zbl 1375.46055) Full Text: DOI arXiv
Brothier, Arnaud On fixed point planar algebras. (English) Zbl 1370.46032 J. Math. Phys. 57, No. 11, 111703, 24 p. (2016). MSC: 46L10 46L37 05C60 PDFBibTeX XMLCite \textit{A. Brothier}, J. Math. Phys. 57, No. 11, 111703, 24 p. (2016; Zbl 1370.46032) Full Text: DOI arXiv
Liu, Zhengwei Exchange relation planar algebras of small rank. (English) Zbl 1365.46053 Trans. Am. Math. Soc. 368, No. 12, 8303-8348 (2016). MSC: 46L37 46L10 20C05 PDFBibTeX XMLCite \textit{Z. Liu}, Trans. Am. Math. Soc. 368, No. 12, 8303--8348 (2016; Zbl 1365.46053) Full Text: DOI arXiv
Morrison, Scott; Penneys, David 2-supertransitive subfactors at index \(3 + \sqrt{5}\). (English) Zbl 1341.46034 J. Funct. Anal. 269, No. 9, 2845-2870 (2015). MSC: 46L37 05C99 PDFBibTeX XMLCite \textit{S. Morrison} and \textit{D. Penneys}, J. Funct. Anal. 269, No. 9, 2845--2870 (2015; Zbl 1341.46034) Full Text: DOI arXiv
Nelson, Brent Free transport for finite depth subfactor planar algebras. (English) Zbl 1406.46051 J. Funct. Anal. 268, No. 9, 2586-2620 (2015). MSC: 46L45 46L89 PDFBibTeX XMLCite \textit{B. Nelson}, J. Funct. Anal. 268, No. 9, 2586--2620 (2015; Zbl 1406.46051) Full Text: DOI arXiv
Liu, Zhengwei Composed inclusions of \(A_3\) and \(A_4\) subfactors. (English) Zbl 1330.46061 Adv. Math. 279, 307-371 (2015). MSC: 46L37 PDFBibTeX XMLCite \textit{Z. Liu}, Adv. Math. 279, 307--371 (2015; Zbl 1330.46061) Full Text: DOI arXiv
Liu, Zhengwei; Morrison, Scott; Penneys, David 1-supertransitive subfactors with index at most \(6\frac{1}{5}\). (English) Zbl 1330.46062 Commun. Math. Phys. 334, No. 2, 889-922 (2015). MSC: 46L37 PDFBibTeX XMLCite \textit{Z. Liu} et al., Commun. Math. Phys. 334, No. 2, 889--922 (2015; Zbl 1330.46062) Full Text: DOI arXiv
Morrison, Scott An obstruction to subfactor principal graphs from the graph planar algebra embedding theorem. (English) Zbl 1303.46051 Bull. Lond. Math. Soc. 46, No. 3, 600-608 (2014). MSC: 46L37 18D05 57M20 PDFBibTeX XMLCite \textit{S. Morrison}, Bull. Lond. Math. Soc. 46, No. 3, 600--608 (2014; Zbl 1303.46051) Full Text: DOI arXiv
Jones, Vaughan F. R.; Morrison, Scott; Snyder, Noah The classification of subfactors of index at most 5. (English) Zbl 1301.46039 Bull. Am. Math. Soc., New Ser. 51, No. 2, 277-327 (2014). MSC: 46L37 PDFBibTeX XMLCite \textit{V. F. R. Jones} et al., Bull. Am. Math. Soc., New Ser. 51, No. 2, 277--327 (2014; Zbl 1301.46039) Full Text: DOI arXiv
Morrison, Scott; Snyder, Noah Non-cyclotomic fusion categories. (English) Zbl 1284.18016 Trans. Am. Math. Soc. 364, No. 9, 4713-4733 (2012). MSC: 18D10 46L37 PDFBibTeX XMLCite \textit{S. Morrison} and \textit{N. Snyder}, Trans. Am. Math. Soc. 364, No. 9, 4713--4733 (2012; Zbl 1284.18016) Full Text: DOI arXiv
Jones, Vaughan F. R.; Penneys, David The embedding theorem for finite depth subfactor planar algebras. (English) Zbl 1230.46055 Quantum Topol. 2, No. 3, 301-337 (2011). MSC: 46L37 18D10 57M20 PDFBibTeX XMLCite \textit{V. F. R. Jones} and \textit{D. Penneys}, Quantum Topol. 2, No. 3, 301--337 (2011; Zbl 1230.46055) Full Text: DOI arXiv
Asaeda, Marta; Grossman, Pinhas A quadrilateral in the Asaeda-Haagerup category. (English) Zbl 1230.46052 Quantum Topol. 2, No. 3, 269-300 (2011). MSC: 46L37 PDFBibTeX XMLCite \textit{M. Asaeda} and \textit{P. Grossman}, Quantum Topol. 2, No. 3, 269--300 (2011; Zbl 1230.46052) 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
Burstein, R. D. Automorphisms of the bipartite graph planar algebra. (English) Zbl 1216.46055 J. Funct. Anal. 259, No. 9, 2384-2403 (2010). Reviewer: Nadia Larsen (Oslo) MSC: 46L37 PDFBibTeX XMLCite \textit{R. D. Burstein}, J. Funct. Anal. 259, No. 9, 2384--2403 (2010; Zbl 1216.46055) Full Text: DOI arXiv
Gupta, Ved Prakash Planar algebra of the subgroup-subfactor. (English) Zbl 1178.46057 Proc. Indian Acad. Sci., Math. Sci. 118, No. 4, 583-612 (2008). MSC: 46L37 PDFBibTeX XMLCite \textit{V. P. Gupta}, Proc. Indian Acad. Sci., Math. Sci. 118, No. 4, 583--612 (2008; Zbl 1178.46057) Full Text: DOI arXiv
Grossman, Pinhas; Jones, Vaughan F. R. Intermediate subfactors with no extra structure. (English) Zbl 1131.46041 J. Am. Math. Soc. 20, No. 1, 219-265 (2007). Reviewer: Aubrey Wulfsohn (Coventry) MSC: 46L37 PDFBibTeX XMLCite \textit{P. Grossman} and \textit{V. F. R. Jones}, J. Am. Math. Soc. 20, No. 1, 219--265 (2007; Zbl 1131.46041) Full Text: DOI arXiv
Kodiyalam, Vijay; Sunder, V. S. A complete set of numerical invariants for a subfactor. (English) Zbl 1083.46036 J. Funct. Anal. 212, No. 1, 1-27 (2004). Reviewer: Florin P. Boca (Urbana-Champaign) MSC: 46L37 16W30 18D50 PDFBibTeX XMLCite \textit{V. Kodiyalam} and \textit{V. S. Sunder}, J. Funct. Anal. 212, No. 1, 1--27 (2004; Zbl 1083.46036) Full Text: DOI