OOIR: Observatory of International Research

Papers

(The TQCC of Algebras and Representation Theory is 1. The table below lists those papers that are above that threshold based on CrossRef citation counts [max. 250 papers]. The publications cover those that have been published in the past four years, i.e., from 2020-10-01 to 2024-10-01.)

Article	Citations
Torsion Pairs and Quasi-abelian Categories	9
M-traces in (Non-Unimodular) Pivotal Categories	7
Representations of the Super Yangians of Types A and C	7
Lattices over Bass Rings and Graph Agglomerations	6
Degenerate Affine Flag Varieties and Quiver Grassmannians	5
Classification of Non-Degenerate Involutive Set-Theoretic Solutions to the Yang-Baxter Equation with Multipermutation Level Two	5
Infinitely Generated Gorenstein Tilting Modules	5
Wide Subcategories and Lattices of Torsion Classes	5
Modules Over Trusses vs Modules Over Rings: Direct Sums and Free Modules	5
Transitivity of Perspectivity	4
Hilbert’s Basis Theorem for Non-associative and Hom-associative Ore Extensions	4
Transitioning Between Tableaux and Spider Bases for Specht Modules	4
Correction to: On Guay’s Evaluation Map for Affine Yangians	3
Bimodules over Relative Rota-Baxter Algebras and Cohomologies	3
Entwined Modules Over Representations of Categories	3
A Category of Restricted Modules for the Ovisenko-Roger Algebra	3
Gluing Compact Matrix Quantum Groups	3
Crystal Bases of Modified $$\imath $$quantum Groups of Certain Quasi-Split Types	3
Real Spectrum Versus ℓ-Spectrum via Brumfiel Spectrum	3
On Quiver Representations over $\mathbb {F}_{1}$	3
On Groups with Certain Proper FC-Subgroups	3
Singular Equivalences Induced by Bimodules and Quadratic Monomial Algebras	3
Total Stability Functions for Type $\mathbb {A}$ Quivers	3
The Igusa-Todorov $$\phi $$-Dimension on Morita Context Algebras	3
Derived Equivalences for the Flops of Type C2 and ${A}_{4}^{G}$ via Mutation of Semiorthogonal Decomposition	3

Fused Braids and Centralisers of Tensor Representations of Uq(glN)	3
Syzygies of Cohen–Macaulay Modules over One Dimensional Cohen–Macaulay Local Rings	3
Spectra of Groups	3
Standard Bases for the Universal Associative Conformal Envelopes of Kac–Moody Conformal Algebras	3
Gorenstein Rings via Homological Dimensions, and Symmetry in Vanishing of Ext and Tate Cohomology	2
Triangular matrix categories II: Recollements and functorially finite subcategories	2
A Random Walk on the Indecomposable Summands of Tensor Products of Modular Representations of SL2 $\left ({\mathbb {F}_p}\right )$	2
Triangular Matrix Categories I: Dualizing Varieties and Generalized One-point Extensions	2
Silting and Tilting for Weakly Symmetric Algebras	2
From the Lattice of Torsion Classes to the Posets of Wide Subcategories and ICE-closed Subcategories	2
τ-tilting Finiteness of Biserial Algebras	2
On Simple Transitive 2-representations of Bimodules over the Dual Numbers	2
Ideal Submodules Versus Ternary Ideals Versus Linking Ideals	2
Free Rota-Baxter Family Algebras and Free (tri)dendriform Family Algebras	2
A Drinfeld-Type Presentation of the Orthosymplectic Yangians	2
Bounded Weight Modules Over the Lie Superalgebra of Cartan W-type	2
Reflection Representations of Coxeter Groups and Homology of Coxeter Graphs	2
Reflection Groups and Rigidity of Quadratic Poisson Algebras	2
Differential Polynomial Identities of Upper Triangular Matrices Under the Action of the Two-Dimensional Metabelian Lie Algebra	2
The Norm of a Skew Polynomial	2
On the Stable Radical of Some Non-Domestic String Algebras	2
On Reeder’s Conjecture for Type B and C Lie Algebras	2
Levi Factors and Admissible Automorphisms	2
Graded Identities and Central Polynomials for the Verbally Prime Algebras	2
The A-fibered Burnside Ring as A-Fibered Biset Functor in Characteristic Zero	2
Ring Constructions and Generation of the Unbounded Derived Module Category	2
Gentle Algebras Arising from Surfaces with Orbifold Points of Order 3, Part I: Scattering Diagrams	2
The Functor $K_{0}^{\operatorname {gr}}$ is Full and only Weakly Faithful	2
Gluing of n-Cluster Tilting Subcategories for Representation-directed Algebras	2
The Generalized Roof F(1, 2,n): Hodge Structures and Derived Categories	2
Differential Identities and Polynomial Growth of the Codimensions	2
On Group Invariants Determined by Modular Group Algebras: Even Versus Odd Characteristic	2
Categorification of Sign-Skew-Symmetric Cluster Algebras and Some Conjectures on g-Vectors	2
Nilpotent Elements and Reductive Subgroups Over a Local Field	2
On the Radical of a Hecke–Kiselman Algebra	1
Computation of the Homology of the Complexes of Finite Verma Modules for ${K}_{4}^{\prime }$	1
Dimension Theory in Iterated Local Skew Power Series Rings	1
The Benson - Symonds Invariant for Permutation Modules	1
Modular Products and Modules for Finite Groups	1
The Trace Field Theory of a Finite Tensor Category	1
Differential Projective Modules Over Algebras with Radical Square Zero	1
On a Deformation Theory of Finite Dimensional Modules Over Repetitive Algebras	1
Wild Local Structures of Automorphic Lie Algebras	1
Demazure Slices of Type $A_{2l}^{(2)}$	1
Pre-modular Fusion Categories of Small Global Dimensions	1
Parafermionic Bases of Standard Modules for Twisted Affine Lie Algebras of Type $A_{2l-1}^{(2)}$, $D_{l+1}^{(2)}$, $E_{6}^{(2)}$ and $D_{4}^{(3)}$	1
On the Classification of Graded Twisted Planes	1
Nakayama Algebras and Fuchsian Singularities	1
Partial and Global Representations of Finite Groups	1
Differential Graded Bocses and $A_{\infty }$-Modules	1

Commutative Polarisations and the Kostant Cascade	1
On the Cohomology of Lie Algebras with an Invariant Inner Product	1
Enveloping Algebras of Krichever-Novikov Algebras are not Noetherian	1
Blocks of the Brauer Category over the Complex Field	1
On Minimal Tilting Complexes in Highest Weight Categories	1
Quantization of Deformed Cluster Poisson Varieties	1
Torsion Pairs and Ringel Duality for Schur Algebras	1
Modules of Non-unital Polynomial Rota-Baxter Algebras	1
Localization of Triangulated Categories with Respect to Extension-Closed Subcategories	1
Shen-Larsson’s modules for simple generalized Witt algebras	1
Modified Traces and the Nakayama Functor	1
On the Multiplicities of the Character Codegrees of Finite Groups	1
Universal Quantum (Semi)groups and Hopf Envelopes	1
A Cluster Character with Coefficients for Cluster Category	1
Auslander–Reiten Triangles and Grothendieck Groups of Triangulated Categories	1
Dual Pairs in the Pin-Group and Duality for the Corresponding Spinorial Representation	1
Morita Invariance for Infinitesimal Deformations	1
The Formal Affine Demazure Algebra and Real Finite Reflection Groups	1
Perforated Tableaux: A Combinatorial Model for Crystal Graphs in Type An− 1	1
Spin Chains as Modules over the Affine Temperley–Lieb Algebra	1
Recasting the Hazrat Conjecture: Relating Shift Equivalence to Graded Morita Equivalence	1
Two Tilts of Higher Spherical Algebras	1
Restricted Injective Dimensions over Cohen-Macaulay Rings	1
On a Class of Infinite Simple Lie Conformal Algebras	1
On the Ideals of Ultragraph Leavitt Path Algebras	1
On Euclidean Components of Auslander-Reiten Quivers of Finite Group Schemes	1
Different Approaches of Coefficient Ideals	1
Superpotentials and Quiver Algebras for Semisimple Hopf Actions	1
Relative Rigid Subcategories and τ-Tilting Theory	1
On the Semisimple Orbits of Restricted Cartan Type Lie Algebras W, S and H	1
Non-Commutative Resolutions for the Discriminant of the Complex Reflection Group G(m, p, 2)	1
Quiver Grassmannians of Type $\widetilde {D}_{n}$, Part 2: Schubert Decompositions and F-polynomials	1
Polyhedral Realizations for $B(\infty )$ and Extended Young Diagrams, Young Walls of Type $\mathrm {A}^{(1)}_{n-1}$, $\mathrm {C}^{(1)}_{n-1}$, $\mathrm {A}^{(2)}_{2n-2}$, $\mathrm {D}^{(2)}_{n}$	1
Extremal Tensor Products of Demazure Crystals	1
A Characterisation of Morita Algebras in Terms of Covers	1
Grothendieck Rings of Towers of Twisted Generalized Weyl Algebras	1
Semisimplicity of the Deformations of the Subcharacter Algebra of an Abelian Group	1
The strong simple connectedness of tame algebras with separating almost cyclic coherent Auslander–Reiten components	1
Unidirectional Littelmann Paths for Crystals of Type A and Rank 2	1
Varieties of Group Graded Algebras with Graded Involution of Almost Polynomial Growth	1
Defining an Affine Partition Algebra	1
Extensions of Theorems of Gaschütz, Žmud′ and Rhodes on Faithful Representations	1
Classification of Finite Irreducible Conformal Modules over N = 2 Lie Conformal Superalgebras of Block Type	1
Soergel Calculus with Patches	1
Pseudo-parabolic Category over Quaternionic Projective Plane	1
The Monomial Lattice in Modular Symmetric Power Representations	1
Semisimple Reflection Hopf Algebras of Dimension Sixteen	1
Presentations of Braid Groups of Type A Arising from $$(m+2)$$-angulations of Regular Polygons	1
An Indicator Formula for the Hopf Algebra $$k^{S_{n-1}}\#kC_n$$	1
Abelian Quotients Arising from Extriangulated Categories via Morphism Categories	1
On Simple-Minded Systems Over Representation-Finite Self-Injective Algebras	1
Kazhdan-Lusztig Algorithm for Whittaker Modules with Arbitrary Infinitesimal Characters	1
Reeder’s Conjecture for Even Orthogonal Lie Algebras	1
Examples of Non-Semisimple Hopf Algebra Actions on Artin-Schelter Regular Algebras	1
Quinn’s Formula and Abelian 3-Cocycles for Quadratic Forms	1