SU\G(𝔸)/K·U
Mathematics › Geometry and Topology

Algebraic structures and combinatorial models

Works Count: 70023

Description

This cluster of papers explores the interplay between cluster algebras and triangulated categories, with a focus on derived categories, quiver representations, and homological dimensions. It also delves into topics such as quantum groups, Calabi-Yau algebras, modular tensor categories, and their connections to conformal field theory and Kac-Moody algebras.

Keywords

Cluster Algebras; Triangulated Categories; Derived Categories; Quiver Representations; Homological Dimensions; Quantum Groups; Calabi-Yau Algebras; Modular Tensor Categories; Conformal Field Theory; Kac-Moody Algebras

Most Cited Works

Action Title Date Authors
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Commutative algebra with a view toward algebraic geometry 1996-04-01 David Eisenbud
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Hopf Algebras and Their Actions on Rings 1993-10-28 Susan Montgomery
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Rings and Categories of Modules 1974-01-01 Frank W. Anderson Kent R. Fuller
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Basic concepts of enriched category theory 1982-01-01 G. M. Kelly
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Nonstandard symmetry classes in mesoscopic normal-superconducting hybrid structures 1997-01-01 Alexander Altland Martin R. Zirnbauer
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Introduction to Quantum Groups 2010-01-01 G. Lusztig
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Tame Algebras and Integral Quadratic Forms 1984-01-01 Claus Michael Ringel
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Symplectic structures, their Bäcklund transformations and hereditary symmetries 1981-10-01 Benno Fuchssteiner A. S. Fokas
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Representations of Algebraic Groups 2007-08-01 Jens Carsten Jantzen
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Vertex algebras for beginners 1998-10-07 Victor G. Kač
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Infinite-Dimensional Lie Algebras 1990-09-20 Victor G. Kač
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Quantization of Lie Groups and Lie Algebras 1988-01-01 L. D. Faddeev Nicolai Reshetikhin Leon A. Takhtajan
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Cluster algebras I: Foundations 2001-12-28 Sergey Fomin Andrei Zelevinsky
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The quantum group SU<sub>q</sub>(2) and a q-analogue of the boson operators 1989-09-21 L. C. Biedenharn
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Global aspects of current algebra 1983-08-01 Edward Witten
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The Magma Algebra System I: The User Language 1997-09-01 Wieb Bosma John Cannon Catherine Playoust
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On the Structure of Hopf Algebras 1965-03-01 John Milnor John C. Moore
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Rings of Continuous Functions 1960-01-01 Leonard Gillman Meyer Jerison
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Representations of Coxeter groups and Hecke algebras 1979-06-01 David Kazhdan G. Lusztig
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The Zero-Divisor Graph of a Commutative Ring 1999-07-01 David F. Anderson Philip S. Livingston
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On crystal bases of the Q-analogue of universal enveloping algebras 1991-07-01 Masaki Kashiwara
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Current algebra and Wess-Zumino model in two dimensions 1984-12-01 V.G. Knizhnik A. B. Zamolodchikov
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Infinite conformal symmetry in two-dimensional quantum field theory 1984-07-01 A. A. Belavin A. Polyakov A. B. Zamolodchikov
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Conformal algebra and multipoint correlation functions in 2D statistical models 1984-10-01 Vl.S. Dotsenko V.A. Fateev
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Higher algebraic K-theory: I 1973-01-01 Daniel Quillen
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Operator content of two-dimensional conformally invariant theories 1986-01-01 John Cardy
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Introduction To Commutative Algebra 2018-03-09 Michael Atiyah
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On q-analogues of the quantum harmonic oscillator and the quantum group SU(2)<sub>q</sub> 1989-11-07 Alan Macfarlane
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On the Deformation of Rings and Algebras 1964-01-01 Murray Gerstenhaber
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Deformation Quantization of Poisson Manifolds 2003-12-01 Maxim Kontsevich
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Conformal invariance, the central charge, and universal finite-size amplitudes at criticality 1986-02-17 Henk W. J. Blöte John Cardy M. P. Nightingale
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Holonomy, the Quantum Adiabatic Theorem, and Berry's Phase 1983-12-12 Barry Simon
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Phases of N = 2 theories in two dimensions 1993-08-01 Edward Witten
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Deformation theory and quantization. I. Deformations of symplectic structures 1978-03-01 F. Bayen M. Flato C. Frønsdal André Lichnerowicz Daniel Sternheimer
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A q-analogue of U(g[(N+1)), Hecke algebra, and the Yang-Baxter equation 1986-04-01 Michio Jimbo
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Vertex algebras, Kac-Moody algebras, and the Monster 1986-05-01 Richard E. Borcherds
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Aq-difference analogue of U(g) and the Yang-Baxter equation 1985-07-01 Michio Jimbo
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<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>M</mml:mi></mml:math>theory as a matrix model: A conjecture 1997-04-15 T. Banks Willy Fischler Stephen H. Shenker Lawrence Susskind
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Boundary conditions for integrable quantum systems 1988-05-21 E. K. Sklyanin
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Homological Algebra of Mirror Symmetry 1995-01-01 Maxim Kontsevich
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Generalized global symmetries 2015-02-01 Davide Gaiotto Anton Kapustin Nathan Seiberg Brian Willett
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Fusion rules and modular transformations in 2D conformal field theory 1988-01-01 Erik Verlinde
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Factorized S-matrices in two dimensions as the exact solutions of certain relativistic quantum field theory models 1979-08-01 Alexander B. Zamolodchikov Alexey B Zamolodchikov
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Nonabelions in the fractional quantum hall effect 1991-08-01 Gregory Moore Nicholas Read
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Classical and quantum conformal field theory 1989-06-01 Gregory Moore Nathan Seiberg
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<i>Colloquium</i>: Topological band theory 2016-06-29 Arun Bansil Hsin Lin Tanmoy Das
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Seiberg-Witten Prepotential from Instanton Counting 2003-01-01 Nikita Nekrasov
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Quantum Inverse Scattering Method and Correlation Functions 1993-08-19 V. E. Korepin N. M. Bogoliubov A. G. Izergin
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String theory and noncommutative geometry 1999-09-30 Nathan Seiberg Edward Witten
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Lie superalgebras 1977-10-01 Victor G. Kač

Most Recent Works

Action Title Date Authors
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Nondegenerate module categories 2025-05-02 Chelsea Walton Harshit Yadav
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On generalized $(\alpha, \ast)$-derivations and $\alpha$-centralizers on Rings 2025-05-01 Faiza Shujat Sayer Obaid Alharbi
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Lower bounds on Loewy lengths of modules of finite projective dimension 2025-05-02 Nawaj KC Josh Pollitz
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Subsystem symmetry fractionalization and foliated field theory 2025-05-02 Po-Shen Hsin David T. Stephen Arpit Dua Dominic J. Williamson
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On sequentially Cohen-Macaulay modules and sequentially generalized Cohen-Macaulay modules 2025-05-01 Nguyen Xuan Linh Le Thanh Nhan
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Scattering diagrams, tight gradings, and generalized positivity 2025-05-02 Amanda Burcroff K.B. Lee Lang Mou
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Semibrick‐cosilting correspondence 2025-05-02 Ramin Ebrahimi Alireza Nasr‐Isfahani
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Orbital Topology of Chiral Crystals for Orbitronics 2025-05-02 Kenta Hagiwara Ying‐Jiun Chen Dongwook Go Xin Tan Sergii Grytsiuk Kui‐Hon Ou Yang Guo‐Jiun Shu Jing Chien Yao Shen Xianglin Huang
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Corrigendum to “Trace forms on the cyclotomic Hecke algebras and cocenters of the cyclotomic Schur algebras” [J. Pure Appl. Algebra 227(4) (2023) 107281] 2025-05-02 Zhekun He Jun Hu Huang Lin
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Construction of Low-Dimensional Lie Algebras versus Eigenproblem 2025-05-02 Alina Dobrogowska Marzena Szajewska
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Diagram supermodules for 0-Hecke–Clifford algebras 2025-05-03 Dominic Searles
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Irreducible unitary representations with non-zero relative Lie algebra cohomology of the Lie group $$SO_0(2,m)$$ 2025-05-03 Ankita Pal Pampa Paul
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Application of the residual power series method to find optical soliton solutions for the (3+1) q-deformed tanh-Gordon equation 2025-05-03 Khalid K. Ali Mohamed S. Mohamed M. Maneea
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Integrable matrix product states of ABJM theory from projecting method 2025-05-03 Nan Bai Mao-Zhong Shao
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Simplicial complexes associated to character degrees of solvable groups 2025-05-05 Aleksandra Kostić Nela Milošević Zoran Z. Petrović
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Compatible anti-pre-Lie algebras 2025-05-05 Zafar Normatov
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Catalytic Atroposelective aza-Grob Fragmentation: An Approach toward Axially Chiral Biarylnitriles 2025-05-06 Lin Li Linlin Ding Xue Zhang Chenglong Zhang Minyan Wang Zhenhua Gu
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A homological characterization of <i>w</i> -faithfully flat modules 2025-05-06 Shiqi Xing
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Exploring Solitary Wave Solutions of the Generalized Integrable Kadomtsev–Petviashvili Equation via Lie Symmetry and Hirota’s Bilinear Method 2025-05-06 Beenish Maria Samreen Fehaid Salem Alshammari
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Capped vertex functions for $${\text {Hilb}}^n(\mathbb {C}^2)$$ 2025-05-06 Jeffrey Ayers Andrey S. Smirnov
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Unfolding $E_{11}$ 2025-05-06 Nicolas Boulanger Paul Cook Josh A. O’Connor Peter West
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Counting Boolean intervals in the weak Bruhat order of a finite Coxeter group 2025-05-06
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On $w$-universal injective modules and their applications in commutative rings 2025-05-05 Dechuan Zhou Hwankoo Kim Wei Zhao Keyun Hu
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Relating ample and biample topological categories with Boolean restriction and range semigroups 2025-05-07 Ganna Kudryavtseva
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Heterotic string field theory with manifest spacetime supersymmetry 2025-05-06 Nathan Berkovits Ulisses M. Portugal
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A proper subclass of nonsingular rings 2025-05-07 Hamid Reza Moradi Shervin Sahebi Mohammad Habibi
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Global representation ring and Knutson Index 2025-05-07 Dylan Johnston Diego Martín Duro Dmitriy Rumynin
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Non-weight modules over the extended Heisenberg-Virasoro superalgebra 2025-05-07 Youxin Kong Haibo Chen Yuan Wu
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Decomposition of Jacobians and Shimura subvarieties of $$A_g$$ 2025-05-07 Abolfazl Mohajer
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Echoes and defects in the Calogero model 2025-05-07 Benjamin Liégeois R. Chitra Nicolò Defenu
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Affine $$\mathcal{W}$$-Algebras and Miura Maps from 3d $$\mathcal {N}\text {=}\,4$$ Non-Abelian Quiver Gauge Theories 2025-05-07 Ioana Coman Myungbo Shim Masahito Yamazaki Yehao Zhou
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Conformal Blocks on Smoothings via Mode Transition Algebras 2025-05-07 Chiara Damiolini Angela Gibney Daniel Krashen
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GKZ Discriminant and Multiplicities 2025-05-07 Jesse Huang Peng Zhou
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Unital aligned shift equivalence and the graded classification conjecture for Leavitt path algebras 2025-05-07 Kevin Aguyar Brix Adam Dor-On Roozbeh Hazrat Efren Ruiz
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Notes on gauging noninvertible symmetries. Part II. Higher multiplicity cases 2025-05-07 Alonso Perez-Lona Daniel Robbins Eric Sharpe Thomas Vandermeulen Xingyang Yu
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Centralizers with automorphisms of triangular algebras 2025-05-08 Xinfeng Liang Minghao Wang Mengya Zhang
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The duality resolution at $$n=p=2$$ 2025-05-08 Agnès Beaudry Irina Bobkova Hans-Werner Henn
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Generalized derivations with center-like subsets in prime rings 2025-05-07 Ahmed Aboubakr
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Quasi-Hopf algebras of dimension 6 2025-05-01 Daniel Bulacu Matteo Misurati
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Representation theory of very non-standard quantum <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.svg"><mml:mrow><mml:mi mathvariant="fraktur">so</mml:mi></mml:mrow><mml:mo stretchy="false">(</mml:mo><mml:mn>2</mml:mn><mml:mi>N</mml:mi><mml:mo linebreak="badbreak" linebreakstyle="after">−</mml:mo><mml:mn>1</mml:mn><mml:mo stretchy="false">)</mml:mo></mml:math> 2025-05-01 Stefan Kolb James W. Stephens
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Conformal blocks in two and four dimensions from oscillator representations 2025-05-09 Martin Ammon Jakob Hollweck Tobias Hössel Katharina Wölfl
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<i>N</i>th-order breather and rogue wave solutions of the generalized Fokas–Lenells equation 2025-05-09 Liuyue Wang Qi-Lao Zha
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Arithmetic invariant theory of reductive groups 2025-05-09 Yidi Wang
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Colored sl(N) homology and SU(N) representations 2025-05-09 Joshua Wang
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2D sigma models on noncompact Calabi-Yau manifolds and <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi mathvariant="script">N</mml:mi><mml:mo>=</mml:mo><mml:mn>2</mml:mn></mml:math> Liouville theory 2025-05-09 Pavlo Gavrylenko Evgenii Ievlev A. Marshakov Ilia Monastyrskii A. Yung
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Wigglyhedra 2025-05-09 Asilata Bapat Vincent Pilaud
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Entanglement Islands from Hilbert space reduction 2025-05-09 Debarshi Basu Qiang Wen Shangjie Zhou
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Soliton solutions and dynamical properties of the (4+1)-dimensional Fokas equation with stability analysis 2025-05-09 Mohammad Safi Ullah Md Zulfikar Ali Harun-Or Roshid
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5d-4d correspondence in twisted M-theory on a conifold 2025-05-08 Meer Ashwinkumar Mir Faizal Arshid Shabir Douglas J. Smith Yehao Zhou
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Pfaffian Structure of the Eigenvector Overlap for the Symplectic Ginibre Ensemble 2025-05-10 Gernot Akemann Sung‐Soo Byun Kohei Noda