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 2020-03-01 to 2024-03-01.)

Article	Citations
Quantum Toroidal Algebra Associated with $\mathfrak {gl}_{m\|n}$	16
On the Generalized Cartan Matrices Arising from k-th Yau Algebras of Isolated Hypersurface Singularities	9
Torsion Pairs and Quasi-abelian Categories	9
The Images of Completely Homogeneous Polynomials on 2 × 2 Upper Triangular Matrix Algebras	8
M-traces in (Non-Unimodular) Pivotal Categories	7
Graded Cancellation Properties of Graded Rings and Graded Unit-regular Leavitt Path Algebras	6
Formality and Lusztig’s Generalized Springer Correspondence	6
Lattices over Bass Rings and Graph Agglomerations	6
Modules Over Trusses vs Modules Over Rings: Direct Sums and Free Modules	5
Degenerations of 8-Dimensional 2-step Nilpotent Lie Algebras	5
On Non-Homogeneous Tubes and Components of Type $\mathbb {Z}A_{\infty }$ in the Bounded Derived Category	5
Degenerate Affine Flag Varieties and Quiver Grassmannians	5
Wide Subcategories and Lattices of Torsion Classes	5
Hilbert’s Basis Theorem for Non-associative and Hom-associative Ore Extensions	4
The Periplectic Brauer Algebra III: The Deligne Category	4
Double Quasi-Poisson Brackets: Fusion and New Examples	4
Algebras and Varieties	4
Transitioning Between Tableaux and Spider Bases for Specht Modules	4
Classification of Non-Degenerate Involutive Set-Theoretic Solutions to the Yang-Baxter Equation with Multipermutation Level Two	4
Transitivity of Perspectivity	4
The Classification of the Trivial Source Modules in Blocks with Cyclic Defect Groups	4
Correction to: On Guay’s Evaluation Map for Affine Yangians	3
Generic Constructions and Semidualizing Modules	3
On Groups with Certain Proper FC-Subgroups	3
On Quiver Representations over $\mathbb {F}_{1}$	3

An Algebraic Analogue of Exel–Pardo C∗-Algebras	3
Gluing Compact Matrix Quantum Groups	3
Infinitely Generated Gorenstein Tilting Modules	3
Bimodules over Relative Rota-Baxter Algebras and Cohomologies	3
Entwined Modules Over Representations of Categories	3
Total Stability Functions for Type $\mathbb {A}$ Quivers	3
Levi Factors and Admissible Automorphisms	2
Graded Identities and Central Polynomials for the Verbally Prime Algebras	2
Lusztig Data of Kashiwara-Nakashima Tableaux in Type D	2
Spectra of Groups	2
A Characterization of Superalgebras with Pseudoinvolution of Exponent 2	2
The Igusa-Todorov $$\phi $$-Dimension on Morita Context Algebras	2
Gluing of n-Cluster Tilting Subcategories for Representation-directed Algebras	2
Real Spectrum Versus ℓ-Spectrum via Brumfiel Spectrum	2
Derived Equivalences for the Flops of Type C2 and ${A}_{4}^{G}$ via Mutation of Semiorthogonal Decomposition	2
The A-fibered Burnside Ring as A-Fibered Biset Functor in Characteristic Zero	2
On Reeder’s Conjecture for Type B and C Lie Algebras	2
Ring Constructions and Generation of the Unbounded Derived Module Category	2
Bounded Weight Modules Over the Lie Superalgebra of Cartan W-type	2
Singular Equivalences Induced by Bimodules and Quadratic Monomial Algebras	2
A Category of Restricted Modules for the Ovisenko-Roger Algebra	2
Representations of the Super Yangians of Types A and C	2
Differential Polynomial Identities of Upper Triangular Matrices Under the Action of the Two-Dimensional Metabelian Lie Algebra	2
Homology Theories and Gorenstein Dimensions for Complexes	2
Quantized GIM Algebras and their Images in Quantized Kac-Moody Algebras	2
Fused Braids and Centralisers of Tensor Representations of Uq(glN)	2
Nilpotent Elements and Reductive Subgroups Over a Local Field	2
Partial and Global Representations of Finite Groups	2
Standard Bases for the Universal Associative Conformal Envelopes of Kac–Moody Conformal Algebras	2
The Picard Group of an Order and Külshammer Reduction	2
Gauge Modules for the Lie Algebras of Vector Fields on Affine Varieties	2
The Norm of a Skew Polynomial	2
Pieri Type Rules and GL(2\|2) Tensor Products	2
Categorification of Sign-Skew-Symmetric Cluster Algebras and Some Conjectures on g-Vectors	2
Different Approaches of Coefficient Ideals	1
Blocks of the Brauer Category over the Complex Field	1
On Group Invariants Determined by Modular Group Algebras: Even Versus Odd Characteristic	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
A Characterization of High Order Freeness for Product Arrangements and Answers to Holm’s Questions	1
Monomial Gorenstein algebras and the stably Calabi–Yau property	1
Shen-Larsson’s modules for simple generalized Witt algebras	1
From the Lattice of Torsion Classes to the Posets of Wide Subcategories and ICE-closed Subcategories	1
Demazure Slices of Type $A_{2l}^{(2)}$	1
A Cluster Character with Coefficients for Cluster Category	1
Classification of Finite Irreducible Conformal Modules over N = 2 Lie Conformal Superalgebras of Block Type	1
Grothendieck Rings of Towers of Twisted Generalized Weyl Algebras	1
A Family of New Borel Subalgebras of Quantum Groups	1
A Proof of the Refined PRV Conjecture via the Cyclic Convolution Variety	1
Flatness of Noetherian Hopf algebras over coideal subalgebras	1
Unidirectional Littelmann Paths for Crystals of Type A and Rank 2	1

Enveloping Algebras of Krichever-Novikov Algebras are not Noetherian	1
Kazhdan-Lusztig Algorithm for Whittaker Modules with Arbitrary Infinitesimal Characters	1
Extensions of Theorems of Gaschütz, Žmud′ and Rhodes on Faithful Representations	1
Gorenstein Rings via Homological Dimensions, and Symmetry in Vanishing of Ext and Tate Cohomology	1
The Functor $K_{0}^{\operatorname {gr}}$ is Full and only Weakly Faithful	1
Varieties of Group Graded Algebras with Graded Involution of Almost Polynomial Growth	1
On Minimal Tilting Complexes in Highest Weight Categories	1
Commutative Polarisations and the Kostant Cascade	1
On the Ideals of Ultragraph Leavitt Path Algebras	1
Quinn’s Formula and Abelian 3-Cocycles for Quadratic Forms	1
Reflection Groups and Rigidity of Quadratic Poisson Algebras	1
A Coalgebraic Structure on Bisexual Populations	1
Modules of Non-unital Polynomial Rota-Baxter Algebras	1
On Euclidean Components of Auslander-Reiten Quivers of Finite Group Schemes	1
Free Rota-Baxter Family Algebras and Free (tri)dendriform Family Algebras	1
Triangular matrix categories II: Recollements and functorially finite subcategories	1
The Trace Field Theory of a Finite Tensor Category	1
Reeder’s Conjecture for Even Orthogonal Lie Algebras	1
Reflection Representations of Coxeter Groups and Homology of Coxeter Graphs	1
Semisimplicity of the Deformations of the Subcharacter Algebra of an Abelian Group	1
Linkage of Ideals in Integral Domains	1
Von-Neumann Finiteness and Reversibility in some Classes of Non-Associative Algebras	1
On Simple Transitive 2-representations of Bimodules over the Dual Numbers	1
Crystal Bases of Modified $$\imath $$quantum Groups of Certain Quasi-Split Types	1
Universal Quantum (Semi)groups and Hopf Envelopes	1
The Generalized Roof F(1, 2,n): Hodge Structures and Derived Categories	1
The strong simple connectedness of tame algebras with separating almost cyclic coherent Auslander–Reiten components	1
Differential Projective Modules Over Algebras with Radical Square Zero	1
τ-tilting Finiteness of Biserial Algebras	1
A Drinfeld-Type Presentation of the Orthosymplectic Yangians	1
Weighted Leavitt Path Algebras that are Isomorphic to Unweighted Leavitt Path Algebras	1
Tilting Preenvelopes and Cotilting Precovers in General Abelian Categories	1
On Simple-Minded Systems Over Representation-Finite Self-Injective Algebras	1
Perforated Tableaux: A Combinatorial Model for Crystal Graphs in Type An− 1	1
On the Semisimple Orbits of Restricted Cartan Type Lie Algebras W, S and H	1
Examples of Non-Semisimple Hopf Algebra Actions on Artin-Schelter Regular Algebras	1
Semisimple Reflection Hopf Algebras of Dimension Sixteen	1
Group-Twisted Alexander-Whitney and Eilenberg-Zilber Maps	1
Triangular Matrix Categories I: Dualizing Varieties and Generalized One-point Extensions	1
Quantization of Deformed Cluster Poisson Varieties	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
On the Radical of a Hecke–Kiselman Algebra	1
Ideal Submodules Versus Ternary Ideals Versus Linking Ideals	1
Computation of the Homology of the Complexes of Finite Verma Modules for ${K}_{4}^{\prime }$	1
On the Multiplicities of the Character Codegrees of Finite Groups	1
Non-Commutative Resolutions for the Discriminant of the Complex Reflection Group G(m, p, 2)	1
Auslander–Reiten Triangles and Grothendieck Groups of Triangulated Categories	1
The Formal Affine Demazure Algebra and Real Finite Reflection Groups	1
Gentle Algebras Arising from Surfaces with Orbifold Points of Order 3, Part I: Scattering Diagrams	1
Modified Traces and the Nakayama Functor	1
The Benson - Symonds Invariant for Permutation Modules	1
Syzygies of Cohen–Macaulay Modules over One Dimensional Cohen–Macaulay Local Rings	1
On Modules M such that both M and M∗ are Semi-Gorenstein-Projective	1
A Random Walk on the Indecomposable Summands of Tensor Products of Modular Representations of SL2 $\left ({\mathbb {F}_p}\right )$	1
A Characterisation of Morita Algebras in Terms of Covers	1
Differential Identities and Polynomial Growth of the Codimensions	1
An Indicator Formula for the Hopf Algebra $$k^{S_{n-1}}\#kC_n$$	1
Iterated Extensions and Uniserial Length Categories	1
Pre-modular Fusion Categories of Small Global Dimensions	1
On a Class of Infinite Simple Lie Conformal Algebras	1
Quiver Grassmannians of Type $\widetilde {D}_{n}$, Part 2: Schubert Decompositions and F-polynomials	1
Two Tilts of Higher Spherical Algebras	1
On the Cohomology of Lie Algebras with an Invariant Inner Product	1
Relative Rigid Subcategories and τ-Tilting Theory	1
Abelian Quotients Arising from Extriangulated Categories via Morphism Categories	1