East, James; Ruškuc, Nik Congruence lattices of ideals in categories and (partial) semigroups. (English) Zbl 07679301 Memoirs of the American Mathematical Society 1408. Providence, RI: American Mathematical Society (AMS) (ISBN 978-1-4704-6269-7/pbk; 978-1-4704-7446-1/ebook). vii, 129 p. (2023). Reviewer: Jaak Henno (Tallinn) MSC: 20-02 20M20 08A30 15A04 18B40 20M10 20M50 PDF BibTeX XML Cite \textit{J. East} and \textit{N. Ruškuc}, Congruence lattices of ideals in categories and (partial) semigroups. Providence, RI: American Mathematical Society (AMS) (2023; Zbl 07679301) Full Text: DOI arXiv OpenURL
Afzaly, Narjess; Morrison, Scott; Penneys, David The classification of subfactors with index at most \(5 \frac{1}{4} \). (English) Zbl 07679299 Memoirs of the American Mathematical Society 1405. Providence, RI: American Mathematical Society (AMS) (ISBN 978-1-4704-4712-0/pbk; 978-1-4704-7443-0/ebook). v, 81 p. (2023). MSC: 46-02 46L37 18D05 05C30 11R18 PDF BibTeX XML Cite \textit{N. Afzaly} et al., The classification of subfactors with index at most \(5 \frac{1}{4} \). Providence, RI: American Mathematical Society (AMS) (2023; Zbl 07679299) Full Text: DOI arXiv OpenURL
Coles, Desmond; Huston, Peter; Penneys, David; Srinivas, Srivatsa The module embedding theorem via towers of algebras. (English) Zbl 1479.46074 J. Funct. Anal. 280, No. 11, Article ID 108965, 52 p. (2021). MSC: 46L37 16D90 18M15 46L08 PDF BibTeX XML Cite \textit{D. Coles} et al., J. Funct. Anal. 280, No. 11, Article ID 108965, 52 p. (2021; Zbl 1479.46074) Full Text: DOI arXiv OpenURL
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 PDF BibTeX XML Cite \textit{D. Penneys}, High. Struct. 4, No. 2, 22--56 (2020; Zbl 1457.18019) Full Text: arXiv OpenURL
Ghosh, Shamindra Kumar; Jones, Corey; Reddy, B. Madhav Annular representations of free product categories. (English) Zbl 1469.46053 J. Noncommut. Geom. 14, No. 1, 223-250 (2020). Reviewer: Zhengwei Liu (Cambridge) MSC: 46L37 18M15 46L09 46M15 PDF BibTeX XML Cite \textit{S. K. Ghosh} et al., J. Noncommut. Geom. 14, No. 1, 223--250 (2020; Zbl 1469.46053) Full Text: DOI arXiv OpenURL
Barter, Daniel; Jones, Corey; Tucker, Henry Eigenvalues of rotations and braids in spherical fusion categories. (English) Zbl 1419.18010 J. Algebra 515, 52-76 (2018). Reviewer: Paolo Saracco (Bruxelles) MSC: 18D10 20F36 16T99 PDF BibTeX XML Cite \textit{D. Barter} et al., J. Algebra 515, 52--76 (2018; Zbl 1419.18010) Full Text: DOI arXiv OpenURL
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 PDF BibTeX XML Cite \textit{P. Tarrago} and \textit{J. Wahl}, Adv. Math. 331, 1--57 (2018; Zbl 1401.46042) Full Text: DOI arXiv OpenURL
Edie-Michell, Cain The Brauer-Picard groups of fusion categories coming from the ADE subfactors. (English) Zbl 1400.46050 Int. J. Math. 29, No. 5, Article ID 1850036, 43 p. (2018). MSC: 46L37 18D10 PDF BibTeX XML Cite \textit{C. Edie-Michell}, Int. J. Math. 29, No. 5, Article ID 1850036, 43 p. (2018; Zbl 1400.46050) Full Text: DOI arXiv OpenURL
Jones, Vaughan F. R. Scale invariant transfer matrices and Hamiltionians. (English) Zbl 1387.82010 J. Phys. A, Math. Theor. 51, No. 10, Article ID 104001, 27 p. (2018). MSC: 82B20 82B28 PDF BibTeX XML Cite \textit{V. F. R. Jones}, J. Phys. A, Math. Theor. 51, No. 10, Article ID 104001, 27 p. (2018; Zbl 1387.82010) Full Text: DOI arXiv OpenURL
Bisch, Dietmar; Das, Paramita; Ghosh, Shamindra Kumar; Rakshit, Narayan Tube algebra of group-type subfactors. (English) Zbl 1385.46044 Int. J. Math. 28, No. 10, Article ID 1750069, 32 p. (2017). MSC: 46L37 PDF BibTeX XML Cite \textit{D. Bisch} et al., Int. J. Math. 28, No. 10, Article ID 1750069, 32 p. (2017; Zbl 1385.46044) Full Text: DOI arXiv OpenURL
Jones, Vaughan F. R. Some unitary representations of Thompson’s groups \(F\) and \(T\). (English) Zbl 1472.57014 J. Comb. Algebra 1, No. 1, 1-44 (2017). MSC: 57K16 20F38 46L37 81T40 PDF BibTeX XML Cite \textit{V. F. R. Jones}, J. Comb. Algebra 1, No. 1, 1--44 (2017; Zbl 1472.57014) Full Text: DOI arXiv OpenURL
Jones, Vaughan F. R. Knots, groups, subfactors and physics. (English) Zbl 1361.46048 Jpn. J. Math. (3) 11, No. 1, 69-111 (2016). Reviewer: Rolf Gohm (Aberystwyth) MSC: 46L37 46L54 57M25 PDF BibTeX XML Cite \textit{V. F. R. Jones}, Jpn. J. Math. (3) 11, No. 1, 69--111 (2016; Zbl 1361.46048) Full Text: DOI OpenURL
Elias, Ben The two-color Soergel calculus. (English) Zbl 1382.20006 Compos. Math. 152, No. 2, 327-398 (2016). MSC: 20C08 18D05 20F55 PDF BibTeX XML Cite \textit{B. Elias}, Compos. Math. 152, No. 2, 327--398 (2016; Zbl 1382.20006) Full Text: DOI arXiv OpenURL
Jones, Corey Quantum \(G_2\) categories have property (T). (English) Zbl 1375.18044 Int. J. Math. 27, No. 2, Article ID 1650015, 23 p. (2016). MSC: 18D10 47A67 17B37 PDF BibTeX XML Cite \textit{C. Jones}, Int. J. Math. 27, No. 2, Article ID 1650015, 23 p. (2016; Zbl 1375.18044) Full Text: DOI arXiv OpenURL
Ghosh, Shamindra Kumar; Jones, Corey Annular representation theory for rigid \(C^{\ast}\)-tensor categories. (English) Zbl 1375.46039 J. Funct. Anal. 270, No. 4, 1537-1584 (2016). Reviewer: Stepan Moskaliuk (Wien) MSC: 46L05 46M15 PDF BibTeX XML Cite \textit{S. K. Ghosh} and \textit{C. Jones}, J. Funct. Anal. 270, No. 4, 1537--1584 (2016; Zbl 1375.46039) Full Text: DOI arXiv OpenURL
Brothier, Arnaud; Jones, Vaughan F. R. Hilbert modules over a planar algebra and the Haagerup property. (English) Zbl 1339.46058 J. Funct. Anal. 269, No. 11, 3634-3644 (2015). MSC: 46L37 PDF BibTeX XML Cite \textit{A. Brothier} and \textit{V. F. R. Jones}, J. Funct. Anal. 269, No. 11, 3634--3644 (2015; Zbl 1339.46058) Full Text: DOI arXiv OpenURL
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 PDF BibTeX XML Cite \textit{S. Morrison} and \textit{D. Penneys}, J. Funct. Anal. 269, No. 9, 2845--2870 (2015; Zbl 1341.46034) Full Text: DOI arXiv OpenURL
Jones, Vaughan F. R.; Penneys, David Infinite index subfactors and the GICAR categories. (English) Zbl 1338.46067 Commun. Math. Phys. 339, No. 2, 729-768 (2015). MSC: 46L37 46H25 18B99 PDF BibTeX XML Cite \textit{V. F. R. Jones} and \textit{D. Penneys}, Commun. Math. Phys. 339, No. 2, 729--768 (2015; Zbl 1338.46067) Full Text: DOI arXiv OpenURL
Evans, David E.; Pugh, Mathew Spectral measures for \(G_2\). (English) Zbl 1321.46067 Commun. Math. Phys. 337, No. 3, 1161-1197 (2015). MSC: 46L37 PDF BibTeX XML Cite \textit{D. E. Evans} and \textit{M. Pugh}, Commun. Math. Phys. 337, No. 3, 1161--1197 (2015; Zbl 1321.46067) Full Text: DOI arXiv OpenURL
Liu, Zhengwei Composed inclusions of \(A_3\) and \(A_4\) subfactors. (English) Zbl 1330.46061 Adv. Math. 279, 307-371 (2015). MSC: 46L37 PDF BibTeX XML Cite \textit{Z. Liu}, Adv. Math. 279, 307--371 (2015; Zbl 1330.46061) Full Text: DOI arXiv OpenURL
Morrison, Scott; Penneys, David Constructing spoke subfactors using the jellyfish algorithm. (English) Zbl 1360.46054 Trans. Am. Math. Soc. 367, No. 5, 3257-3298 (2015). MSC: 46L37 18D10 PDF BibTeX XML Cite \textit{S. Morrison} and \textit{D. Penneys}, Trans. Am. Math. Soc. 367, No. 5, 3257--3298 (2015; Zbl 1360.46054) Full Text: DOI arXiv OpenURL
Penneys, David Chirality and principal graph obstructions. (English) Zbl 1326.46049 Adv. Math. 273, 32-55 (2015). MSC: 46L37 18D05 57M20 PDF BibTeX XML Cite \textit{D. Penneys}, Adv. Math. 273, 32--55 (2015; Zbl 1326.46049) Full Text: DOI arXiv OpenURL
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 PDF BibTeX XML Cite \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 OpenURL
Bigelow, Stephen; Penneys, David Principal graph stability and the jellyfish algorithm. (English) Zbl 1302.46049 Math. Ann. 358, No. 1-2, 1-24 (2014). MSC: 46L37 57M20 18D05 PDF BibTeX XML Cite \textit{S. Bigelow} and \textit{D. Penneys}, Math. Ann. 358, No. 1--2, 1--24 (2014; Zbl 1302.46049) Full Text: DOI arXiv OpenURL
Izumi, Masaki; Jones, Vaughan F. R.; Morrison, Scott; Snyder, Noah Subfactors of index less than 5. III: Quadruple points. (English) Zbl 1272.46051 Commun. Math. Phys. 316, No. 2, 531-554 (2012). Reviewer: David Penneys (Toronto) MSC: 46L37 18D10 PDF BibTeX XML Cite \textit{M. Izumi} et al., Commun. Math. Phys. 316, No. 2, 531--554 (2012; Zbl 1272.46051) Full Text: DOI arXiv OpenURL
Bigelow, Stephen; Peters, Emily; Morrison, Scott; Snyder, Noah Constructing the extended Haagerup planar algebra. (English) Zbl 1270.46058 Acta Math. 209, No. 1, 29-82 (2012). Reviewer: Stephen Curran (Los Angeles) MSC: 46L37 18D10 PDF BibTeX XML Cite \textit{S. Bigelow} et al., Acta Math. 209, No. 1, 29--82 (2012; Zbl 1270.46058) Full Text: DOI arXiv OpenURL
Jones, Vaughan F. R. Quadratic tangles in planar algebras. (English) Zbl 1257.46033 Duke Math. J. 161, No. 12, 2257-2295 (2012). MSC: 46L37 18D50 16T99 57M27 PDF BibTeX XML Cite \textit{V. F. R. Jones}, Duke Math. J. 161, No. 12, 2257--2295 (2012; Zbl 1257.46033) Full Text: DOI arXiv Euclid OpenURL
Morrison, Scott; Snyder, Noah Subfactors of index less than 5. I: The principal graph odometer. (English) Zbl 1246.46055 Commun. Math. Phys. 312, No. 1, 1-35 (2012). MSC: 46L37 18D10 PDF BibTeX XML Cite \textit{S. Morrison} and \textit{N. Snyder}, Commun. Math. Phys. 312, No. 1, 1--35 (2012; Zbl 1246.46055) Full Text: DOI arXiv OpenURL
Grossman, Pinhas; Snyder, Noah Quantum subgroups of the Haagerup fusion categories. (English) Zbl 1250.46042 Commun. Math. Phys. 311, No. 3, 617-643 (2012). MSC: 46L37 PDF BibTeX XML Cite \textit{P. Grossman} and \textit{N. Snyder}, Commun. Math. Phys. 311, No. 3, 617--643 (2012; Zbl 1250.46042) Full Text: DOI arXiv OpenURL
Westbury, Bruce W. Web bases for the general linear groups. (English) Zbl 1272.17020 J. Algebr. Comb. 35, No. 1, 93-107 (2012). Reviewer: Hu Jun (Beijing) MSC: 17B37 20C08 PDF BibTeX XML Cite \textit{B. W. Westbury}, J. Algebr. Comb. 35, No. 1, 93--107 (2012; Zbl 1272.17020) Full Text: DOI arXiv OpenURL
Ghosh, Shamindra Kumar Planar algebras: a category theoretic point of view. (English) Zbl 1242.46071 J. Algebra 339, No. 1, 27-54 (2011). MSC: 46L37 46M15 18D05 PDF BibTeX XML Cite \textit{S. K. Ghosh}, J. Algebra 339, No. 1, 27--54 (2011; Zbl 1242.46071) Full Text: DOI arXiv OpenURL
Evans, David E.; Pugh, Mathew \(A_2\)-planar algebras. II: Planar modules. (English) Zbl 1230.46053 J. Funct. Anal. 261, No. 7, 1923-1954 (2011). MSC: 46L37 46L08 PDF BibTeX XML Cite \textit{D. E. Evans} and \textit{M. Pugh}, J. Funct. Anal. 261, No. 7, 1923--1954 (2011; Zbl 1230.46053) Full Text: DOI arXiv OpenURL
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 PDF BibTeX XML Cite \textit{T. Banica} and \textit{S. Curran}, J. Math. Phys. 51, No. 11, 113503, 14 p. (2010; Zbl 1314.16023) Full Text: DOI arXiv OpenURL
Evans, David E.; Pugh, Mathew Spectral measures and generating series for nimrep graphs in subfactor theory. (English) Zbl 1210.46046 Commun. Math. Phys. 295, No. 2, 363-413 (2010). MSC: 46L37 PDF BibTeX XML Cite \textit{D. E. Evans} and \textit{M. Pugh}, Commun. Math. Phys. 295, No. 2, 363--413 (2010; Zbl 1210.46046) Full Text: DOI arXiv Link OpenURL
Bigelow, Stephen Skein theory for the \(ADE\) planar algebras. (English) Zbl 1192.46059 J. Pure Appl. Algebra 214, No. 5, 658-666 (2010). MSC: 46L37 57M15 46M99 PDF BibTeX XML Cite \textit{S. Bigelow}, J. Pure Appl. Algebra 214, No. 5, 658--666 (2010; Zbl 1192.46059) Full Text: DOI arXiv OpenURL
Morrison, Scott; Peters, Emily; Snyder, Noah Skein theory for the \(D_{2n}\) planar algebras. (English) Zbl 1191.46051 J. Pure Appl. Algebra 214, No. 2, 117-139 (2010). MSC: 46L37 57M15 46M99 PDF BibTeX XML Cite \textit{S. Morrison} et al., J. Pure Appl. Algebra 214, No. 2, 117--139 (2010; Zbl 1191.46051) Full Text: DOI arXiv OpenURL
Banica, Teodor; Bisch, Dietmar Spectral measures of small index principal graphs. (English) Zbl 1122.46044 Commun. Math. Phys. 269, No. 1, 259-281 (2007). MSC: 46L37 PDF BibTeX XML Cite \textit{T. Banica} and \textit{D. Bisch}, Commun. Math. Phys. 269, No. 1, 259--281 (2007; Zbl 1122.46044) Full Text: DOI arXiv OpenURL
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 PDF BibTeX XML Cite \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 OpenURL
Conder, Marston; Jones, Vaughan Highly transitive imprimitivities. (English) Zbl 1111.20001 J. Algebra 300, No. 1, 44-56 (2006). Reviewer: Wolfgang D. Knapp (Tübingen) MSC: 20B10 20B05 20B20 51E15 PDF BibTeX XML Cite \textit{M. Conder} and \textit{V. Jones}, J. Algebra 300, No. 1, 44--56 (2006; Zbl 1111.20001) Full Text: DOI OpenURL
Ghosh, Shamindra Kumar Representations of group planar algebras. (English) Zbl 1101.46036 J. Funct. Anal. 231, No. 1, 47-89 (2006). MSC: 46L05 46L37 PDF BibTeX XML Cite \textit{S. K. Ghosh}, J. Funct. Anal. 231, No. 1, 47--89 (2006; Zbl 1101.46036) Full Text: DOI OpenURL
Reznikoff, Sarah A. Temperley–Lieb planar algebra modules arising from the ADE planar algebras. (English) Zbl 1095.46037 J. Funct. Anal. 228, No. 2, 445-468 (2005). MSC: 46L37 46L08 PDF BibTeX XML Cite \textit{S. A. Reznikoff}, J. Funct. Anal. 228, No. 2, 445--468 (2005; Zbl 1095.46037) Full Text: DOI OpenURL
Dye, H. A.; Kauffman, Louis H. Minimal surface representations of virtual knots and links. (English) Zbl 1083.57007 Algebr. Geom. Topol. 5, 509-535 (2005). Reviewer: Sam Nelson (Rancho Cucamonga) MSC: 57M25 57M27 57N05 PDF BibTeX XML Cite \textit{H. A. Dye} and \textit{L. H. Kauffman}, Algebr. Geom. Topol. 5, 509--535 (2005; Zbl 1083.57007) Full Text: DOI arXiv EuDML EMIS OpenURL
Banica, Teodor Quantum automorphism groups of homogeneous graphs. (English) Zbl 1088.46040 J. Funct. Anal. 224, No. 2, 243-280 (2005). MSC: 46L65 PDF BibTeX XML Cite \textit{T. Banica}, J. Funct. Anal. 224, No. 2, 243--280 (2005; Zbl 1088.46040) Full Text: DOI arXiv OpenURL
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 PDF BibTeX XML Cite \textit{V. Kodiyalam} and \textit{V. S. Sunder}, J. Funct. Anal. 212, No. 1, 1--27 (2004; Zbl 1083.46036) Full Text: DOI OpenURL
Kodiyalam, Vijay; Landau, Zeph; Sunder, V. S. The planar algebra associated to a Kac algebra. (English) Zbl 1039.46049 Proc. Indian Acad. Sci., Math. Sci. 113, No. 1, 15-51 (2003); erratum 118, No. 2., 319 (2008). Reviewer: Florin P. Boca (Urbana-Champaign) MSC: 46L37 16W30 18D50 PDF BibTeX XML Cite \textit{V. Kodiyalam} et al., Proc. Indian Acad. Sci., Math. Sci. 113, No. 1, 15--51 (2003; Zbl 1039.46049) Full Text: DOI OpenURL