Category Theory

[1] Cluster subalgebras and cotorsion pairs in Frobenius extriangulated categories

Wen Chang Shaanxi Normal University Panyue Zhou Tsinghua University Bin Zhu Tsinghua University

Category Theory mathscidoc:1610.04002

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[2] Remarks on Hall algebras of triangulated categories

Jie Xiao Tsinghua University Fan Xu Tsinghua University

Category Theory Quantum Algebra mathscidoc:1610.04001

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[3] Constructing the extended Haagerup planar algebra

Stephen Bigelow Department of Mathematics, University of California, Santa Barbara Emily Peters Department of Mathematics, Massachusetts Institute of Technology Scott Morrison Mathematical Sciences Institute, Australian National University Noah Snyder Department of Mathematics, Indiana University, Bloomington

Category Theory Rings and Algebras mathscidoc:1701.04001

Acta Mathematica, 209, (1), 29-82, 2010.1
[ Download ] [ 2017-01-08 20:33:58 uploaded by actaadmin ] [ 717 downloads ] [ 0 comments ] [ Cited by 36 ] [ Abstract ] [ Full ]
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[4] Unicity of graded covers of the category $\mathcal{O}$ of Bernstein–Gelfand–Gelfand

Michael Rottmaier Mathematical Institute, University of Freiburg Wolfgang Soergel Mathematical Institute, University of Freiburg

Category Theory Representation Theory mathscidoc:1701.04005

Arkiv for Matematik, 53, (2), 383-400, 2014.4
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[5] A note on the singularity category of an endomorphism ring

Xiao-Wu Chen School of Mathematical Sciences, University of Science and Technology of China

Category Theory Rings and Algebras mathscidoc:1701.04004

Arkiv for Matematik, 53, (2), 237-248, 2013.12
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[6] The dual of Brown representability for some derived categories

George Ciprian Modoi Faculty of Mathematics and Computer Science, Babeş-Bolyai University

Category Theory mathscidoc:1701.04002

Arkiv for Matematik, 1-14, 2016.2
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[7] Artinianness of local cohomology modules

Moharram Aghapournahr Department of Mathematics Faculty of Science, Arak University Leif Melkersson Department of Mathematics, Linköping University

Category Theory K-Theory and Homology mathscidoc:1701.04003

Arkiv for Matematik, 52, (1), 1-10, 2011.5
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[8] Multiscale Persistent Functions for Biomolecular Structure Characterization

Kelin Xia Zhiming Li Lin Mu

Category Theory mathscidoc:2005.04001

Distinguished Paper Award in 2020

Bull Math Biol, 2018
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[9] Contractible stability spaces and faithful braid group actions

Yu Qiu Tsinghua University Jon Woolf University of Liverpool

Category Theory Representation Theory mathscidoc:1906.02001

Geometry & Topology, 22, 3701–3760, 2018
[ Download ] [ 2019-06-25 19:54:02 uploaded by qdexter ] [ 489 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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[10] The Auslander bijections and universal extensions

Xiao-Wu Chen University of Science and Technology

Category Theory mathscidoc:1803.43008

Arkiv for Matematik, 55, 2017
[ Download ] [ 2018-03-01 15:27:22 uploaded by arkivadmin ] [ 472 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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[11] Decorated marked surfaces II~Intersection numbers and dimensions of Homs

Yu Qiu Tsinghua University Yu Zhou Tsinghua University

Category Theory Representation Theory mathscidoc:1906.02002

Transactions of the American Mathematical Society, 372, 635-660 , 2019
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[12] Cluster categories for marked surfaces: punctured case

Qiu Yu Chinese University of Hong Kong Yu Zhou Norwegian University of Science and Technology

Category Theory Representation Theory Rings and Algebras mathscidoc:1906.04001

Compositio Math, 153, 1779-1819, 2017
[ Download ] [ 2019-06-25 21:22:20 uploaded by Onlymaths ] [ 451 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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[13] Gorenstein flat precovers and Gorenstein injective preenvelopes in Grothendieck categories

Edgar Enochs University of Kentucky J.R. García Rozas University of Almería Luis Oyonarte University of Almería Blas Torrecillas University of Almería

Category Theory mathscidoc:1912.43029

Arkiv for Matematik, 57, (1), 55-83, 2019
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[14] The special fiber of the motivic deformation of the stable homotopy category is algebraic

Bogdan Gheorghe Guozhen Wang Fudan University Zhouli Xu University of California at San Diego

Category Theory Algebraic Topology and General Topology Algebraic Geometry arXiv subject: Algebraic Geometry (math.AG) arXiv subject: Algebraic Topology (math.AT) mathscidoc:2105.04001

2018.9
[ Download ] [ 2021-05-25 04:52:15 uploaded by xuzhouli ] [ 283 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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[15] Tensor categories for vertex operator superalgebra extensions

Thomas Creutzig University of Alberta Shashank Kanade University of Alberta and University of Denver Robert McRae Vanderbilt University and Tsinghua University

Category Theory Mathematical Physics Quantum Algebra Representation Theory arXiv subject: Mathematical Physics (math-ph) arXiv subject: Representation Theory (math.RT) arXiv subject: Quantum Algebra (math.QA) mathscidoc:2204.04001

[ Download ] [ 2022-04-15 16:51:47 uploaded by rhmcrae ] [ 92 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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[16] Derived equivalences via HRS-tilting

Xiao-Wu Chen University of Science and Technology of China Zhe Han Henan University Yu Zhou Tsinghua University

Category Theory Representation Theory mathscidoc:2202.04001

Advances in Mathematics, 354, 106749, 2019.8
[ Download ] [ 2022-02-17 15:41:49 uploaded by Onlymaths ] [ 85 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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[17] Ribbon tensor structure on the full representation categories of the singlet vertex algebras

Thomas Creutzig University of Alberta Robert McRae Tsinghua University Jinwei Yang Shanghai Jiaotong University

Category Theory Mathematical Physics Quantum Algebra Representation Theory mathscidoc:2204.04011

[ Download ] [ 2022-04-15 17:49:55 uploaded by rhmcrae ] [ 78 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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[18] On semisimplicity of module categories for finite non-zero index vertex operator subalgebras

Robert McRae Tsinghua University

Category Theory Mathematical Physics Quantum Algebra Representation Theory mathscidoc:2204.04009

Letters in Mathematical Physics, 112, (2), 25, 2022.4
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[19] On rationality for C_2-cofinite vertex operator algebras

Robert McRae Tsinghua University

Category Theory Mathematical Physics Quantum Algebra Representation Theory mathscidoc:2204.04010

[ Download ] [ 2022-04-15 17:45:51 uploaded by rhmcrae ] [ 74 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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[20] Tensor structure on the Kazhdan-Lusztig category for affine gl(1|1)

Thomas Creutzig University of Alberta Robert McRae Tsinghua University Jinwei Yang University of Alberta

Category Theory Mathematical Physics Quantum Algebra Representation Theory mathscidoc:2204.04007

[ Download ] [ 2022-04-15 17:32:38 uploaded by rhmcrae ] [ 72 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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[21] Fusion bialgebras and Fourier analysis: Analytic obstructions for unitary categorification

Zhengwei Liu Yau Mathematical Sciences Center and Department of Mathematics, Tsinghua University, Beijing, 100084, China; Beijing Institute of Mathematical Sciences and Applications, Huairou District, Beijing, 101408, China Sebastien Palcoux Beijing Institute of Mathematical Sciences and Applications, Huairou District, Beijing, 101408, China Jinsong Wu Institute for Advanced Study in Mathematics, Harbin Institute of Technology, Harbin, 150001, China

Category Theory Functional Analysis Quantum Algebra Rings and Algebras Spectral Theory and Operator Algebra mathscidoc:2207.04003

Advances in Mathematics, 390, 107905, 2021.10
[ Download ] [ 2022-07-07 15:58:39 uploaded by Liuzhengwei ] [ 69 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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[22] Categorical extensions of conformal nets

Bin Gui Department of Mathematics, Rutgers University, New Brunswick, NJ, USA

Category Theory Spectral Theory and Operator Algebra mathscidoc:2203.04001

Communications in Mathematical Physics, 383, (2), 763-839, 2020.11
[ Download ] [ 2022-03-16 09:51:09 uploaded by admin ] [ 67 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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[23] Lifting shadings on symmetrically self-dual subfactor planar algebras

Zhengwei Liu Scott Morrison David Penneys

Category Theory Quantum Algebra Spectral Theory and Operator Algebra mathscidoc:2207.04002

Contemporary Mathematics, 747, 2020.7
[ Download ] [ 2022-07-03 16:22:36 uploaded by Liuzhengwei ] [ 67 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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[24] Structure of Virasoro tensor categories at central charge 13−6p−6/p for integers p>1

Robert McRae Tsinghua University Jinwei Yang University of Alberta

Category Theory Mathematical Physics Quantum Algebra Representation Theory mathscidoc:2204.04008

[ Download ] [ 2022-04-15 17:37:45 uploaded by rhmcrae ] [ 61 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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[25] Classification of Grothendieck rings of complex fusion categories of multiplicity one up to rank six

Zhengwei Liu Sebastien Palcoux Yunxiang Ren

Category Theory Quantum Algebra mathscidoc:2207.04004

2022.1
[ Download ] [ 2022-07-07 16:14:55 uploaded by Liuzhengwei ] [ 61 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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