Found 396 Documents (Results 1–100)
Tensor products and intertwining operators between two uniserial representations of the Galilean Lie algebra \(\mathfrak{sl}(2) \ltimes {\mathfrak{h}}_n\). (English) Zbl 07925469
Diagramatics for cyclic pointed fusion categories. (English) Zbl 07905685
MSC:
18M20
Representations of general linear groups in the Verlinde category. (English) Zbl 07903043
Reviewer: Mee Seong Im (Annapolis)
Graphical calculus for quantum vertex operators. I: The dynamical fusion operator. (English) Zbl 07873573
Modular categories of Frobenius-Perron dimension \(p^2q^2 r^2\) and perfect modular categories. (English) Zbl 07837361
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)
K-theoretic classification of inductive limit actions of fusion categories on AF-algebras. (English) Zbl 07824911
Standard \(\lambda\)-lattices, rigid \(\mathrm{C}^\ast\) tensor categories, and (bi)modules. (English) Zbl 1541.18025
Reviewer: Tobias Fritz (Innsbruck)
Extensions of the category of comodules of the Taft algebra. (English) Zbl 1533.18013
Reviewer: Hirokazu Nishimura (Tsukuba)
MSC:
18M20
\(G\)-crossed braided zesting. (English) Zbl 1532.18011
Reviewer: Hirokazu Nishimura (Tsukuba)
A generalized Hellinger distance for multisource information fusion and its application in pattern classification. (English) Zbl 07803458
A belief Sharma-Mittal divergence with its application in multi-sensor information fusion. (English) Zbl 07803442
Pole decomposition of BFKL eigenvalue at zero conformal spin and the real part of digamma function. (English) Zbl 1540.81074
Complete positivity of comultiplication and primary criteria for unitary categorification. (English) Zbl 1540.81037
The 2-Deligne tensor product. (English) Zbl 1530.18024
Reviewer: Tony Zorman (Dresden)
Frobenius monoidal functors from (co)Hopf adjunctions. (English) Zbl 07783122
Reviewer: Andrea Sciandra (Torino)
Minimal nondegenerate extensions. (English) Zbl 1522.18030
Reviewer: Hirokazu Nishimura (Tsukuba)
Constructing TQFTs Using Non-Hermitian Ribbon Fusion Categories. arXiv:2410.16993
Preprint, arXiv:2410.16993 [math.QA] (2024).
Universal quantum computation using Ising anyons from a non-semisimple Topological Quantum Field Theory. arXiv:2410.14860
Preprint, arXiv:2410.14860 [quant-ph] (2024).
The Condensed Fiber Product and Zesting. arXiv:2410.09025
Preprint, arXiv:2410.09025 [math.QA] (2024).
Skein Theory for Affine A Subfactor Planar Algebras. arXiv:2410.05519
Preprint, arXiv:2410.05519 [math.QA] (2024).
Manifestly unitary higher Hilbert spaces. arXiv:2410.05120
Preprint, arXiv:2410.05120 [math.QA] (2024).
Orbifolds of Pointed Vertex Operator Algebras I. arXiv:2410.00809
Preprint, arXiv:2410.00809 [math.QA] (2024).
Computing \(G\)-Crossed Extensions and Orbifolds of Vertex Operator Algebras. arXiv:2409.16357
Preprint, arXiv:2409.16357 [math.QA] (2024).
Commutative algebras in Grothendieck-Verdier categories, rigidity, and vertex operator algebras. arXiv:2409.14618
Preprint, arXiv:2409.14618 [math.QA] (2024).
Frobenius algebra objects in Temperley-Lieb categories at roots of unity. arXiv:2409.12920
Preprint, arXiv:2409.12920 [math.CT] (2024).
On Gauge Equivalence of Twisted Quantum Doubles. arXiv:2408.09353
Preprint, arXiv:2408.09353 [math.QA] (2024).
Flatness of \(\alpha\)-induced bi-unitary connections and commutativity of Frobenius algebras. arXiv:2408.05501
Preprint, arXiv:2408.05501 [math.QA] (2024).
Invertible Fusion Categories. arXiv:2407.02597
Preprint, arXiv:2407.02597 [math.QA] (2024).
MSC:
18M20
Hodge structures on conformal blocks. arXiv:2406.07459
Preprint, arXiv:2406.07459 [math.AG] (2024).
Bijective solutions to the Pentagon Equation. arXiv:2405.20406
Preprint, arXiv:2405.20406 [math.GR] (2024).
On Low-Rank Multiplicity-Free Fusion Categories. arXiv:2405.20075
Preprint, arXiv:2405.20075 [math-ph] (2024).
MSC:
18M20
Quantized geodesic lengths for Teichmüller spaces: algebraic aspects. arXiv:2405.14727
Preprint, arXiv:2405.14727 [math.GT] (2024).
Categorification of based modules over the complex representation ring of \(S_4\). arXiv:2405.11220
Preprint, arXiv:2405.11220 [math.RT] (2024).
On bicrossed product of fusion categories and exact factorizations. arXiv:2405.10207
Preprint, arXiv:2405.10207 [math.QA] (2024).
MSC:
18M20
Classification of finite type fusion quivers. arXiv:2404.09714
Preprint, arXiv:2404.09714 [math.RT] (2024).
On finite group scheme-theoretical categories, II. arXiv:2403.08785
Preprint, arXiv:2403.08785 [math.RT] (2024).
Higher Witt Groups for 2-Categories I: Centralizers. arXiv:2403.07768
Preprint, arXiv:2403.07768 [math.CT] (2024).
Extension Theory and Fermionic Strongly Fusion 2-Categories (with an Appendix by Thibault Didier Décoppet and Theo Johnson-Freyd). arXiv:2403.03211
Preprint, arXiv:2403.03211 [math.CT] (2024).
Levin-Wen is a gauge theory: entanglement from topology. arXiv:2401.13838
Preprint, arXiv:2401.13838 [cond-mat.str-el] (2024).
3d TQFTs and 3-manifold invariants. arXiv:2401.10587
Preprint, arXiv:2401.10587 [math.GT] (2024).
Fusion Categories over Non-Algebraically Closed Fields. arXiv:2401.02354
Preprint, arXiv:2401.02354 [math.QA] (2024).
MSC:
18M20
Symmetric tensor categories in positive characteristic [after Kevin Coulembier, Pavel Etingof, Victor Ostrik...]. (Catégories tensorielles symétriques en caractéristique positive [d’après Kevin Coulembier, Pavel Etingof, Victor Ostrik...].) (French. English summary) Zbl 1534.18005
Séminaire Bourbaki. Volume 2021/2022. Exposés 1197–1210. Paris: Société Mathématique de France (SMF). Astérisque 446, 453-480, Exp. No. 1209 (2023).
The Morita theory of fusion 2-categories. (English) Zbl 1534.18006
Reviewer: Hirokazu Nishimura (Tsukuba)
Graded extensions of generalized Haagerup categories. (English) Zbl 1533.18014
Reviewer: Hirokazu Nishimura (Tsukuba)
MSC:
18M20
Evaluating TQFT invariants from \(G\)-crossed braided spherical fusion categories via Kirby diagrams with 3-handles. (English) Zbl 07800526
Mapping class group representations and Morita classes of algebras. (English) Zbl 1530.18026
Reviewer: Hirokazu Nishimura (Tsukuba)
On evaluation of nonfactorizable corrections to Higgs Boson production via vector Boson fusion. (English) Zbl 1537.81200
Harish-Chandra pairs in the Verlinde category in positive characteristic. (English) Zbl 1530.18027
Reviewer: Mee Seong Im (Annapolis)
Nondegenerate extensions of near-group braided fusion categories. (English) Zbl 1529.18017
Reviewer: Hirokazu Nishimura (Tsukuba)
Algebraic structures in group-theoretical fusion categories. (English) Zbl 1530.18025
Reviewer: Liu Gongxiang (Nanjing)
Categorification of integral group rings extended by one dimension. (English) Zbl 1525.18023
Reviewer: Hirokazu Nishimura (Tsukuba)
Compact semisimple 2-categories. (English) Zbl 1525.18022
Reviewer: Hirokazu Nishimura (Tsukuba)
Smooth one-dimensional topological field theories are vector bundles with connection. (English) Zbl 1539.57031
Reviewer: Timothy Porter (Llandegfan)
Q-system completion of 2-functors. (English) Zbl 1524.18044
Reviewer: Hirokazu Nishimura (Tsukuba)
Asymptotics in finite monoidal categories. (English) Zbl 1529.17015
Reviewer: Mee Seong Im (Annapolis)
Frobenius monoidal functors of Dijkgraaf-Witten categories and rigid Frobenius algebras. (English) Zbl 1539.18021
Irrational braided generalized near-groups. (English) Zbl 1524.18042
Reviewer: Hirokazu Nishimura (Tsukuba)
On unimodular module categories. (English) Zbl 1533.16057
Reviewer: Cristian Vay (Córdoba)
On low rank fusion rings. (English) Zbl 1521.18016
Relative Serre functor for comodule algebras. (English) Zbl 1531.18018
Reviewer: Ramón González Rodríguez (Vigo)
A simple and fast approach for computing the fusion reactivities with arbitrary ion velocity distributions. (English) Zbl 1532.81019
Reconstructing braided subcategories of \(SU (N)_k \). (English) Zbl 1521.18014
Reviewer: Hirokazu Nishimura (Tsukuba)
Semisimple four-dimensional topological field theories cannot detect exotic smooth structure. (English) Zbl 07738239
Invertible bimodule categories and generalized Schur orthogonality. (English) Zbl 1519.18011
Reviewer: Hirokazu Nishimura (Tsukuba)
Reconstruction of modular data from \(\mathrm{SL}_2(\mathbb{Z})\) representations. (English) Zbl 1519.18012
Reviewer: Hirokazu Nishimura (Tsukuba)
Algebraic Bethe ansatz for the open XXZ spin chain with non-diagonal boundary terms via \(U_{\mathfrak{q}}\mathfrak{sl}_2\) symmetry. (English) Zbl 1530.81105
On the Grothendieck ring of fusion categories of rank 5. (English) Zbl 1519.18013
Reviewer: Hirokazu Nishimura (Tsukuba)
MSC:
18M20
Non-invertible condensation, duality, and triality defects in 3+1 dimensions. (English) Zbl 1529.81086
The extended Haagerup fusion categories. (English. French summary) Zbl 1529.46040
Exact factorizations and extensions of finite tensor categories. (English) Zbl 1523.18016
Reviewer: Blas Torrecillas (Almería)
Crossed modular categories and the Verlinde formula for twisted conformal blocks. (English) Zbl 1519.14033
Reviewer: Ahmed Lesfari (El Jadida)
Internal natural transformations and Frobenius algebras in the Drinfeld center. (English) Zbl 1515.18014
Reviewer: Nicolas Blanco (Paris)
Interpolated family of non-group-like simple integral fusion rings of Lie type. (English) Zbl 1526.46040
A characterization of a finite-dimensional commuting square producing a subfactor of finite depth. (English) Zbl 1529.46041
Reviewer: Liguang Wang (Qufu)
Ribbon structures of the Drinfeld center of a finite tensor category. (English) Zbl 1528.18018
MSC:
18M20
Gauging noninvertible defects: a 2-categorical perspective. (English) Zbl 1517.18007
Reviewer: Tobias Fritz (Innsbruck)
Homotopy invariants of braided commutative algebras and the Deligne conjecture for finite tensor categories. (English) Zbl 1521.18015
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