SP
Sebastien Palcoux
Beijing Institute of Mathematical Sciences and Applications0000-0002-0244-302X
math.QAmath.RTmath.OAmath.CTmath.GRmath.RAmath.COmath.FAmath.MPmath-ph
On Valency
published · living versionsW_kpuafqq8·v1 · currentpublished
Prime factors of fusion-category dimensions: weak group-theoreticity and decomposition
with Sebastian Burciu, Jingcheng Dong
1 version
W_x3cxwy3y·v1published
Preprints & journals
31 papers in the corpus · 2010–2026Classification of vanishing fusion rings of rank four2610.22000v2 · Jingcheng Dong, Sebastien Palcoux, Arnaud Plessis2026 · 0 citationsarXiv
Triangular prism equations for near-group categories: algebraic solutions and a unitary conjecture2610.11652v1 · Huixuan He, Zhengwei Liu, Fan Lu et al.2026 · 0 citationsarXiv
Classifying Grothendieck rings of pivotal fusion categories of rank four2609.33272v2 · Jingcheng Dong, Sebastien Palcoux, Arnaud Plessis2026 · 0 citationsarXiv
Sharp bounds for intervals in finite subgroup lattices2609.10343v1 · Sebastien Palcoux, Pablo Spiga2026 · 0 citationsarXiv
Local Ocneanu rigidity for separable algebra objects2609.10440v3 · Tinhinane Amina Azzouz, Mainak Ghosh, Sebastien Palcoux2026 · 0 citationsarXiv
Exchange relations and Frobenius subalgebras2511.13167v2 · Mainak Ghosh, Sebastien Palcoux2025 · 0 citationsBull. London Math. Soc., 58 (2026), no. 7, e70446
A new criterion for integral modular categorification2510.10311v1 · Jingcheng Dong, Sebastien Palcoux2025 · 0 citationsarXiv
Classifying integral Grothendieck rings up to rank 5 and beyond2507.07023v2 · Max A. Alekseyev, Winfried Bruns, Jingcheng Dong et al.2025 · 0 citationsarXiv
Frobenius subalgebra lattices in tensor categories2502.19876v10 · Mainak Ghosh, Sebastien Palcoux2025 · 0 citationsarXiv
Burnside type results for fusion categories2302.07604v11 · Sebastian Burciu, Sebastien Palcoux2023 · 1 citationCommunications in Contemporary Mathematics (2026) 2650007
Classification of integral modular data up to rank 132302.01613v10 · Max A. Alekseyev, Winfried Bruns, Sebastien Palcoux et al.2023 · 1 citationJ. Math. Phys. 67, 081701 (2026)
Structure constants, Isaacs property and Extended Haagerup fusion categories2210.13936v3 · Sebastian Burciu, Sebastien Palcoux2022 · 2 citationsComm. Algebra 53 (2025), no. 4, 1438--1452
Complete Positivity of Comultiplication and Primary Criteria for Unitary Categorification2210.00792v1 · Linzhe Huang, Zhengwei Liu, Sebastien Palcoux et al.2022 · 3 citationsarXiv
Triangular Prism Equations and Categorification2203.06522v5 · Zhengwei Liu, Sebastien Palcoux, Yunxiang Ren et al.2022 · 3 citationsarXiv
Interpolated family of non group-like simple integral fusion rings of Lie type2102.01663v4 · Zhengwei Liu, Sebastien Palcoux, Yunxiang Ren2021 · 5 citationsInternat. J. Math. 34 (2023), no. 6, Paper No. 2350030, 51 pp
Classification of Grothendieck rings of complex fusion categories of multiplicity one up to rank six2010.10264v5 · Zhengwei Liu, Sebastien Palcoux, Yunxiang Ren2020 · 13 citationsLett Math Phys 112, 54 (2022)
The Boolean intervals of Chevalley type are strongly non group-complemented1911.06076v1 · Sebastien Palcoux, Pablo Spiga2019 · 0 citationsarXiv
Fusion Bialgebras and Fourier Analysis1910.12059v5 · Zhengwei Liu, Sebastien Palcoux, Jinsong Wu2019 · 15 citationsAdv. Math. 390 (2021), Paper No. 107905, 63 pp
Dual Ore's theorem on distributive intervals of finite groups1708.02565v3 · Sebastien Palcoux2017 · 3 citationsJournal of Algebra, 505 (2018), 279-287
Ore's theorem on subfactor planar algebras1704.00745v5 · Sebastien Palcoux2017 · 3 citationsQuantum Topol. 11 (2020), no. 3, 525-543
Euler totient of subfactor planar algebras1703.04486v8 · Sebastien Palcoux2017 · 2 citationsProc. Am. Math. Soc. (2018)
Ore's theorem on cyclic subfactor planar algebras and beyond1702.02124v3 · Sebastien Palcoux2017 · 7 citationsPacific Journal of Mathematics 292-1 (2018), 203-221
Dual Ore's theorem for distributive intervals of small index1610.07253v1 · Sebastien Palcoux2016 · 1 citationarXiv
On Boolean intervals of finite groups1604.06765v7 · Mamta Balodi, Sebastien Palcoux2016 · 4 citationsJournal of Combinatorial Theory, Series A, 157 (2018), 49-69
Ore's theorem for cyclic subfactor planar algebras and applications1505.06649v10 · Sebastien Palcoux2015 · 5 citationsarXiv
The type III manufactory1101.2827v3 · Sebastien Palcoux (IML)2011 · 0 citationsarXiv
Spectral triples for finitely presented groups, index 11011.4436v5 · Sebastien Palcoux (IML)2010 · 0 citationsarXiv
Spectral triples for finitely generated groups, index 01010.5221v8 · Sebastien Palcoux (IML)2010 · 0 citationsarXiv
Neveu-Schwarz and operators algebras III: Subfactors and Connes fusion1010.0076v2 · S'ebastien Palcoux (IML)2010 · 3 citationsarXiv
Neveu-Schwarz and operators algebras II: Unitary series and characters1010.0077v2 · S'ebastien Palcoux (IML)2010 · 2 citationsarXiv
Neveu-Schwarz and operators algebras I: Vertex operators superalgebras1010.0078v2 · S'ebastien Palcoux (IML)2010 · 2 citationsarXiv
Career total: 38 works. 31 are in this corpus.
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