Found 100 Documents (Results 1–100)
Tensor categories for vertex operator superalgebra extensions. (English) Zbl 1540.17001
Memoirs of the American Mathematical Society 1472. Providence, RI: American Mathematical Society (AMS) (ISBN 978-1-4704-6724-1/pbk; 978-1-4704-7772-1/ebook). vi, 181 p. (2024).
Reviewer: Simone Castellan (Glasgow)
Affinizations, R-matrices and reflection functors. (English) Zbl 1535.18026
Reviewer: Hirokazu Nishimura (Tsukuba)
A functor for constructing \(R\)-matrices in the category \(\mathcal{O}\) of Borel quantum loop algebras. (English) Zbl 07808988
Commutative algebras in Grothendieck-Verdier categories, rigidity, and vertex operator algebras. arXiv:2409.14618
Preprint, arXiv:2409.14618 [math.QA] (2024).
Monoidal categorification on some open Richardson varieties. arXiv:2409.04715
Preprint, arXiv:2409.04715 [math.RT] (2024).
Rigid tensor structure on big module categories for some \(W\)-(super)algebras in type \(A\). (English) Zbl 1539.17009
\(Q\widetilde{Q}\)-systems for twisted quantum affine algebras. (English) Zbl 1536.17023
Reviewer: Stepan Moskaliuk (Wien)
Ribbon tensor structure on the full representation categories of the singlet vertex algebras. (English) Zbl 1521.17074
An \(\mathfrak{sl}_2\)-type tensor category for the Virasoro algebra at central charge 25 and applications. (English) Zbl 1508.18015
Reviewer: Mateusz Stroiński (Uppsala)
The non-semisimple Kazhdan-Lusztig category for affine \(\mathfrak{sl}_2\) at admissible levels. arXiv:2312.01088
Preprint, arXiv:2312.01088 [math.QA] (2023).
Fusion rules for the triplet \(W\)-algebra \(\mathcal{W}_{p_+,p_-}\). arXiv:2308.15954
Preprint, arXiv:2308.15954 [math.QA] (2023).
Localizations for quiver Hecke algebras III. arXiv:2308.09243
Preprint, arXiv:2308.09243 [math.RT] (2023).
Grothendieck-Verdier duality in categories of bimodules and weak module functors. arXiv:2306.17668
Preprint, arXiv:2306.17668 [math.CT] (2023).
Deligne tensor products of categories of modules for vertex operator algebras. arXiv:2304.14023
Preprint, arXiv:2304.14023 [math.QA] (2023).
Fusion and (non)-rigidity of Virasoro Kac modules in logarithmic minimal models at \((p,q)\)-central charge. arXiv:2302.08907
Preprint, arXiv:2302.08907 [math.QA] (2023).
Exotic quantum subgroups and extensions of affine Lie algebra VOAs – part I. arXiv:2301.07287
Preprint, arXiv:2301.07287 [math.QA] (2023).
Trialities of orthosymplectic \(\mathcal{W} \)-algebras. (English) Zbl 1504.18016
Reviewer: Robert McRae (Beijing)
Correspondences of categories for subregular \(\mathcal{W}\)-algebras and principal \(\mathcal{W}\)-superalgebras. (English) Zbl 1511.17062
Reviewer: Robert McRae (Beijing)
A ribbon graph derivation of the algebra of functional renormalization for random multi-matrices with multi-trace interactions. (English) Zbl 1507.81161
On semisimplicity of module categories for finite non-zero index vertex operator subalgebras. (English) Zbl 1510.17040
Bosonic ghostbusting: the bosonic ghost vertex algebra admits a logarithmic module category with rigid fusion. (English) Zbl 1508.81950
Reconstruction and local extensions for twisted group doubles, and permutation orbifolds. (English) Zbl 1486.81155
Gluing vertex algebras. (English) Zbl 1500.17023
Categorified Crystal Structure on Localized Quantum Coordinate Rings. arXiv:2208.08396
Preprint, arXiv:2208.08396 [math.RT] (2022).
Localizations for quiver Hecke algebras. (English) Zbl 1495.18020
Reviewer: Mee Seong Im (Annapolis)
\( W \)-algebras via Lax type operators. (English) Zbl 1471.81043
Paranjape, M. B. (ed.) et al., Quantum theory and symmetries. Proceedings of the 11th international symposium, Montréal, Canada, July 1–5, 2019. Cham: Springer. CRM Ser. Math. Phys., 181-198 (2021).
Factorization algebras in quantum field theory. Volume 2. (English) Zbl 1508.81930
New Mathematical Monographs 41. Cambridge: Cambridge University Press (ISBN 978-1-107-16315-7/hbk; 978-1-00-900616-3/set; 978-1-316-67866-4/ebook). xiii, 402 p. (2021).
MSC:
81T10
81T70
81R10
17B67
17B69
17B70
81T45
58J28
47A68
18G35
16E45
18F20
41A58
58A25
81-02
17-02
WITHDRAWN: Determinantal modules over preprojective algebras and representations of Dynkin quivers. arXiv:2111.11437
Preprint, arXiv:2111.11437 [math.RT] (2021); retraction notice ibid.
The product of simple modules over KLR algebras and quiver Grassmannians. arXiv:2107.08244
Preprint, arXiv:2107.08244 [math.RT] (2021).
On rationality for \(C_2\)-cofinite vertex operator algebras. arXiv:2108.01898
Preprint, arXiv:2108.01898 [math.QA] (2021).
On spinorial representations of involutory subalgebras of Kac-Moody algebras. (English) Zbl 1454.81197
Gritsenko, Valery (ed.) et al., Partition functions and automorphic forms. Lecture notes based on the presentations at the international scientifc school, Dubna, Russia, January 29 – February 2, 2018. Cham: Springer. Mosc. Lect. 5, 179-215 (2020).
On the tensor structure of modules for compact orbifold vertex operator algebras. (English) Zbl 1453.17017
Reviewer: Theo Johnson-Freyd (Waterloo)
Theta functions for lattices of \(\mathrm{SU}(3)\) hyper-roots. (English) Zbl 1482.11068
Reviewer: Matthew Krauel (Sacramento)
A remark on matrix product operator algebras, anyons and subfactors. (English) Zbl 1470.46089
Reviewer: Zhengwei Liu (Cambridge)
Structure of Virasoro tensor categories at central charge \(13-6p-6p^{-1}\) for integers \(p > 1\). arXiv:2011.02170
Preprint, arXiv:2011.02170 [math.QA] (2020).
Braided Yangians. (English) Zbl 1414.81136
Extensions of modules for twisted current algebras. (English) Zbl 1452.17011
Reviewer: Angelo Bianchi (São José dos Campos)
Space in monoidal categories. (English) Zbl 1486.18026
Coecke, Bob (ed.) et al., Proceedings of the 14th international conference on quantum physics and logic, QPL’17, Nijmegen, The Netherlands, July 3–7, 2017. Waterloo: Open Publishing Association (OPA). Electron. Proc. Theor. Comput. Sci. (EPTCS) 266, 399-410 (2018).
Towards quantum field theory in categorical quantum mechanics. (English) Zbl 1486.81123
Coecke, Bob (ed.) et al., Proceedings of the 14th international conference on quantum physics and logic, QPL’17, Nijmegen, The Netherlands, July 3–7, 2017. Waterloo: Open Publishing Association (OPA). Electron. Proc. Theor. Comput. Sci. (EPTCS) 266, 349-366 (2018).
Purity through factorisation. (English) Zbl 1486.18004
Coecke, Bob (ed.) et al., Proceedings of the 14th international conference on quantum physics and logic, QPL’17, Nijmegen, The Netherlands, July 3–7, 2017. Waterloo: Open Publishing Association (OPA). Electron. Proc. Theor. Comput. Sci. (EPTCS) 266, 315-328 (2018).
A shortcut from categorical quantum theory to convex operational theories. (English) Zbl 1486.18031
Coecke, Bob (ed.) et al., Proceedings of the 14th international conference on quantum physics and logic, QPL’17, Nijmegen, The Netherlands, July 3–7, 2017. Waterloo: Open Publishing Association (OPA). Electron. Proc. Theor. Comput. Sci. (EPTCS) 266, 222-236 (2018).
On the structure of abstract \(H^*\)-algebras. (English) Zbl 1486.18008
Coecke, Bob (ed.) et al., Proceedings of the 14th international conference on quantum physics and logic, QPL’17, Nijmegen, The Netherlands, July 3–7, 2017. Waterloo: Open Publishing Association (OPA). Electron. Proc. Theor. Comput. Sci. (EPTCS) 266, 197-208 (2018).
W-algebras from Heisenberg categories. (English) Zbl 1405.81045
Reviewer: Rutwig Campoamor-Stursberg (Madrid)
On infinite order simple current extensions of vertex operator algebras. (English) Zbl 1443.17008
Creutzig, Thomas (ed.) et al., Vertex algebras and geometry. AMS special session on vertex algebras and geometry, October 8–9, 2016, and the mini-conference on vertex algebras, October 10–11, 2016, Denver, CO, USA. Proceedings. Providence, RI: American Mathematical Society (AMS). Contemp. Math. 711, 143-168 (2018).
Representation theory of \(L_k(\mathfrak {osp}(1 | 2))\) from vertex tensor categories and Jacobi forms. (English) Zbl 1451.17009
Iterated spans and classical topological field theories. (English) Zbl 1400.18006
Reviewer: Hirokazu Nishimura (Tsukuba)
Affine Lie algebras and tensor categories. arXiv:1811.05123
Preprint, arXiv:1811.05123 [math.QA] (2018).
A topological perspective on interacting algebraic theories. (English) Zbl 1484.18021
Duncan, Ross (ed.) et al., Proceedings of the 13th international conference on quantum physics and logic, QPL’16, Glasgow, Scotland, June 6–10, 2016. Waterloo: Open Publishing Association (OPA). Electron. Proc. Theor. Comput. Sci. (EPTCS) 236, 70-86 (2017).
A 2-categorical approach to composing quantum structures. (English) Zbl 1436.18020
Bonchi, Filippo (ed.) et al., 7th conference on algebra and coalgebra in computer science, CALCO 2017, June 14–16, 2017, Ljubljana, Slovenia. Wadern: Schloss Dagstuhl – Leibniz Zentrum für Informatik. LIPIcs – Leibniz Int. Proc. Inform. 72, Article 20, 20 p. (2017).
Current algebras and categorified quantum groups. (English) Zbl 1407.17027
Reviewer: Friedrich Wagemann (Nantes)
Positivity and periodicity of \(Q\)-systems in the WZW fusion ring. (English) Zbl 1403.17026
Reviewer: Robert McRae (Nashville)
Classification of \(\mathfrak{sl}_3\) relations in the Witt group of nondegenerate braided fusion categories. (English) Zbl 1374.18014
Reviewer: Robert McRae (Nashville)
Weyl \(n\)-algebras. (English) Zbl 1360.58018
Reviewer: Sonia Natale (Córdoba)
(Op)lax natural transformations, twisted quantum field theories, and “even higher” Morita categories. (English) Zbl 1375.18043
MSC:
18D10
81R10
Bicommutant categories from conformal nets. arXiv:1701.02052
Preprint, arXiv:1701.02052 [math.OA] (2017).
Factorization algebras in quantum field theory. Volume 1. (English) Zbl 1377.81004
New Mathematical Monographs 31. Cambridge: Cambridge University Press (ISBN 978-1-107-16310-2/hbk; 978-1-00-900616-3/set; 978-1-316-67862-6/ebook). ix, 387 p. (2016).
Reviewer: Albert Sheu (Lawrence)
The realizations of Lie algebra \(gl(\infty)\) and tau functions in homotopy category. (English) Zbl 1406.81045
Some nearly quantum theories. (English) Zbl 1477.81046
Heunen, Chris (ed.) et al., Proceedings of the 12th international workshop on quantum physics and logic, QPL’15, Oxford, UK, July 15–17, 2015. Waterloo: Open Publishing Association (OPA). Electron. Proc. Theor. Comput. Sci. (EPTCS) 195, 59-70 (2015).
Modular operads and the quantum open-closed homotopy algebra. (English) Zbl 1388.81180
MSC:
81R10
18D50
Von Neumann categories. (English) Zbl 1361.18004
Reviewer: Xu-Guang Shi (Beijing)
The tensor structure on the representation category of the \(\mathcal {W}_p\) triplet algebra. (English) Zbl 1290.81143
Reviewer: Dražen Adamović (Zagreb)
Fusion in the entwined category of Yetter-Drinfeld modules of a rank-1 Nichols algebra. (English. Russian original) Zbl 1280.81130
Theor. Math. Phys. 173, No. 1, 1329-1358 (2012); translation from Teor. Mat. Fiz. 173, No. 1, 3-37 (2012).
Notes on TQFT wire models and coherence equations for \(SU(3)\) triangular cells. (English) Zbl 1217.81124
Rigidity and modularity of vertex tensor categories. (English) Zbl 1169.17019
Reviewer: Volodymyr Mazorchuk (Uppsala)
Variants of bosonization in parabosonic algebra: the Hopf and super-Hopf structures in parabosonic algebra. (English) Zbl 1135.16045
Correspondences of ribbon categories. (English) Zbl 1087.18006
Reviewer: Ross H. Street (North Ryde)
From the representation theory of vertex operator algebras to modular tensor categories in conformal field theory. (English) Zbl 1112.17030
Reviewer: Olaf Ninnemann (Berlin)
Vertex operator algebras, the Verlinde conjecture, and modular tensor categories. (English) Zbl 1112.17029
TFT construction of RCFT correlators. IV: Structure constants and correlation functions. (English) Zbl 1151.81384
Operads and quantum gravity. (English) Zbl 1138.81511
A spin decomposition of the verlinde formulas for type A modular categories. (English) Zbl 1079.81061
Open-string vertex algebras, tensor categories and operads. (English) Zbl 1083.17010
Reviewer: Volodymyr Mazorchuk (Uppsala)
Lie algebras, Fuchsian differential equations and CFT correlation functions. (English) Zbl 1056.81034
Sthanumoorthy, N. (ed.) et al., Kac-Moody Lie algebras and related topics. Proceedings of the Ramanujan international symposium, Chennai, India, January 28–31, 2002. Providence, RI: American Mathematical Society (AMS) (ISBN 0-8218-3337-5/pbk). Contemp. Math. 343, 115-129 (2004).
Reviewer: Igor Potemine (Toulouse)
Category theory for conformal boundary conditions. (English) Zbl 1084.17012
Berman, Stephen (ed.) et al., Vertex operator algebras in mathematics and physics. Proceedings of the workshop, Fields Institute for Research in Mathematical Sciences, Toronto, Canada, October 23–27, 2000. Providence, RI: American Mathematical Society (AMS) (ISBN 0-8218-2856-8/hbk). Fields Inst. Commun. 39, 25-70 (2003).
Reviewer: Jérôme Petit (Montpellier)
Central extensions of topological current algebras. (English) Zbl 1045.17008
Strasburger, Aleksander (ed.) et al., Geometry and analysis on finite- and infinite-dimensional Lie groups. Proceedings of the workshop on Lie groups and Lie algebras, Bȩdlewo, Poland, September 4–15, 2000. Warszawa: Polish Academy of Sciences, Institute of Mathematics. Banach Cent. Publ. 55, 61-76 (2002).
Reviewer: Friedrich Wagemann (Nantes)
Lectures on tensor categories and modular functors. (English) Zbl 0965.18002
University Lecture Series. 21. Providence, RI: American Mathematical Society (AMS). x, 221 p. (2001).
Reviewer: Werner Kleinert (Berlin)
Modular invariants from subfactors: type I coupling matrices and intermediate subfactors. (English) Zbl 0987.46044
Reviewer: Florin P.Boca (Cardiff)
Morita invariance of entire current cyclic homology. (English) Zbl 0922.46060
Reviewer: G.F.Nassopoulos (Athens)
Quasidiagonal solutions of the Yang-Baxter equation, quantum groups and quantum super groups. (English) Zbl 0947.16026
Reviewer: B.Fauser (Tübingen)
A theory of tensor products for module categories for a vertex operator algebra. I. (English) Zbl 1009.17510
Kohno, Toshitake (ed.), Geometric aspects of infinite integrable systems. Proceedings of a conference held at the Research Institute for Mathematical Sciences, Kyoto University, Kyoto, Japan, June 30-July 2, 1993. Kyoto: Kyoto Univ., Research Institute for Mathematical Sciences, RIMS Kôkyûroku. 883, 148-203 (1994).
Berry phase and compact transformation groups. (English) Zbl 0641.57018
Mathematical quantum field theory and related topics, Proc. Conf., Montreal/Can. 1987, CMS Conf. Proc. 9, 253-260 (1988).
Reviewer: R.R.Douglas
Complementarity relation between the U(p,q) and U(n) Lie groups and some applications to atomic physics. (English) Zbl 0609.22012
Higher regulators and values of \(L\)-functions. (English. Russian original) Zbl 0588.14013
J. Sov. Math. 30, 2036-2070 (1985); translation from Itogi Nauki Tekh., Ser. Sovrem. Probl. Mat. 24, 181-238 (1984).
Reviewer: L. N. Vaserstein (University Park)
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