Category Theory

[1] A GLSM view on homological projective duality

Zhuo Chen YMSC, Tsinghua University Jirui Guo YMSC, Tsinghua University Mauricio Romo YMSC, Tsinghua University

Category Theory Mathematical Physics Algebraic Geometry mathscidoc:2205.04001

Communications in Mathematical Physics, 2022.5
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[2] 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
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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
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[4] 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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[5] The Grothendieck Ring of a Family of Spherical Categories

Zhengwei Liu Christopher Ryba

Category Theory Mathematical Physics Quantum Algebra Representation Theory Spectral Theory and Operator Algebra mathscidoc:2207.04005

2020.7
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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] 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
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[8] 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
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[9] 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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[10] 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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[11] 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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[12] 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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[13] 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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[14] 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
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[15] 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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[16] 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
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[17] The Auslander bijections and universal extensions

Xiao-Wu Chen University of Science and Technology

Category Theory mathscidoc:1803.43008

Arkiv for Matematik, 55, 2017
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[18] 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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[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

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[20] 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
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[21] 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

Advances in Mathematics, 413, 108828, 2023.1
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[22] Direct limit completions of vertex tensor categories

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

Category Theory Mathematical Physics Quantum Algebra Representation Theory mathscidoc:2204.04005

Communications in Contemporary Mathematics, 24, (2), 2150033, 2022.3
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[23] 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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[24] 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

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[25] Gluing vertex algebras

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

Category Theory Mathematical Physics Quantum Algebra Representation Theory mathscidoc:2204.04003

Advances in Mathematics, 396, 108174, 2022.2
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[26] 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

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[27] 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

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[28] Twisted modules and G-equivariantization in logarithmic conformal field theory

Robert McRae Tsinghua University

Category Theory Mathematical Physics Quantum Algebra Representation Theory mathscidoc:2204.04004

Communications in Mathematical Physics, 383, (3), 1939-2019, 2021.5
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[29] 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
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[30] 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
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[31] On ribbon categories for singlet vertex algebras

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

Category Theory Mathematical Physics Quantum Algebra Representation Theory mathscidoc:2204.04006

Communications in Mathematical Physics, 387, (2), 865-925, 2021.10
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[32] An sl_2-type tensor category for the Virasoro algebra at central charge 25 and applications

Robert McRae Yau Mathematical Sciences Center, Tsinghua University Jinwei Yang Shanghai Jiaotong University

Category Theory Mathematical Physics Quantum Algebra Representation Theory mathscidoc:2301.04001

Mathematische Zeitschrift, 303, (2), 32, 2023.2
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[33] On the tensor structure of modules for compact orbifold vertex operator algebras

Robert McRae Vanderbilt University

Category Theory Mathematical Physics Quantum Algebra Representation Theory mathscidoc:2204.04002

Mathematische Zeitschrift, 296, 409-452, 2020.10
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[34] Emergent SUSY in Two Dimensions

Ken Kikuchi Yau Mathematical Sciences Center (YMSC), Tsinghua University, Beijing, 100084, China Jin Chen Department of Physics, Xiamen University, Xiamen, 361005, China; Yau Mathematical Sciences Center (YMSC), Tsinghua University, Beijing, 100084, China Fengjun Xu Yau Mathematical Sciences Center (YMSC), Tsinghua University, Beijing, 100084, China; Beijing Institute of Mathematical Sciences and Applications (BIMSA), Beijing, 101408, China Chi-Ming Chang Yau Mathematical Sciences Center (YMSC), Tsinghua University, Beijing, 100084, China; Beijing Institute of Mathematical Sciences and Applications (BIMSA), Beijing, 101408, China

Category Theory arXiv subject: High Energy Physics - Theory (hep-th) arXiv subject: Strongly Correlated Electrons (cond-mat.str-el) mathscidoc:2207.04001

arXiv, 2022.4
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