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 2022-05-01 to 2026-05-01.)

Article	Citations
Modular Products and Modules for Finite Groups	8
Extremal Weight Crystals Over Affine Lie Algebras of Infinite Rank	6
From Green’s Formula to Derived Hall Algebras	6
A Note on the Global Dimension of Shifted Orders	6
Dimension Theory in Iterated Local Skew Power Series Rings	6
Isomorphism Problems and Groups of Automorphisms for Ore Extensions $$K[x][y; f\frac{d}{dx} ]$$ (Prime Characteristic)	6
Unique Factorization for Tensor Products of Parabolic Verma Modules	5
Stable Centres of Iwahori-Hecke Algebras of Type A	5
An Indicator Formula for the Hopf Algebra $$k^{S_{n-1}}\#kC_n$$	5
Twisted Representations of the Extended Heisenberg-Virasoro Vertex Operator Algebra	5
Topologically Semiperfect Topological Rings	5
On Interpolation Categories for the Hyperoctahedral Group	4
Free Rota-Baxter Family Algebras and Free (tri)dendriform Family Algebras	4
Parafermionic Bases of Standard Modules for Twisted Affine Lie Algebras of Type $A_{2l-1}^{(2)}$, $D_{l+1}^{(2)}$, $E_{6}^{(2)}$ and $D_{4}^{(3)}$	4
A Gelfand–MacPherson Correspondence for Quiver Moduli	4
On Minimal Tilting Complexes in Highest Weight Categories	4
Automorphisms of Quantum Toroidal Algebras from an Action of the Extended Double Affine Braid Group	4
Partial and Global Representations of Finite Groups	4
τ-tilting Finiteness of Biserial Algebras	3
Hopf Algebra (Co)actions on Rational Functions	3
$$D_7^{(1)}$$- Geometric Crystal at the Spin Node	3
Blow-up of a Generalized Flag Variety	3
Trivial Extensions of Monomial Algebras are Symmetric Fractional Brauer Configuration Algebras	3
Dipper Donkin Quantized Matrix Algebra and Reflection Equation Algebra at Root of Unity	3
Idempotent Varieties of Incidence Monoids and Bipartite Posets	3

Correction: Parafermionic Bases of Standard Modules for Twisted Affine Lie Algebras of Type $$ {A}_{2l-1}^{(2)}, D_{l+1}^{(2)}, E_{6}^{(2)} $$ and $$ D_{4}^{(3)}$$	3
On the Classification of Graded Twisted Planes	3
Mickelsson Algebras via Hasse Diagrams	3
Tensor Hierarchy Algebras and Restricted Associativity	2
Delooping Levels	2
A Note on Schur-Weyl Dualities for GL(m) and GL(m\|n)	2
Spin Chains as Modules over the Affine Temperley–Lieb Algebra	2
Presentations of Braid Groups of Type A Arising from $$(m+2)$$-angulations of Regular Polygons	2
A Note on Gluing Cosilting Objects	2
TTF Theories Induced by Two-Term Tilting Complexes and Self-Injective Algebras	2
Gelfand-Tsetlin Modules: Canonicity and Calculations	2
A Combinatorial Formula for the Wedderburn Decomposition of Rational Group Algebras and the Rational Representations of Ordinary Metacyclic p-groups	2
Classifying Recollements of Derived Module Categories for Derived Discrete Algebras	2
Highest Weight Modules for Affine and Loop Superalgebras of $$\mathfrak {osp}_{1\|2}(\mathbb C)$$	2
Toric Vector Bundles, Valuations and Tropical Geometry	2
Torsion Pairs and t-Structures in $$\textrm{D}^{b}(\text {coh}(\mathbb {X}))$$	2
Translation Hopf Algebras and Hopf Heaps	2
Minimal Triangular Structures on Abelian Extensions	2
Coherence for Plactic Monoids via Rewriting Theory and Crystal Structures	2
The Liftability Question for Stable Equivalences Between Representation-Finite Self-Injective Algebras	2
The i-Quantum Group $$\textbf{U}^\imath (n)$$, II: Presenting their $$\varvec{q}$$-Schur Algebras	2
Gabriel’s Theorem for Infinite Quivers	2
Tilting Modules and Exceptional Sequences for a Family of Dual Extension Algebras	1
Algebraic Structures in Group-theoretical Fusion Categories	1
Weak Silting Modules	1
Non-abelian Class Field Theory and Higher Dimensional Noncommutative Tori	1
From the Lattice of Torsion Classes to the Posets of Wide Subcategories and ICE-closed Subcategories	1
Finite-dimensional Algebras are (m> 2)-Calabi-Yau-tilted	1
A Note on Singularity Categories and Triangular Matrix Algebras	1
Endomorphism Algebras of Equivariant Exceptional Collections	1
Quantization of Deformed Cluster Poisson Varieties	1
Invariants that are Covering Spaces and their Hopf Algebras	1
The Mukai Conjecture for Fano Quiver Moduli	1
Computation of the Homology of the Complexes of Finite Verma Modules for ${K}_{4}^{\prime }$	1
Module Categories of Small Radical Nilpotency	1
On the Properties of Acyclic Sign-Skew-Symmetric Cluster Algebras	1
On Euclidean Components of Auslander-Reiten Quivers of Finite Group Schemes	1
A Drinfeld-Type Presentation of the Orthosymplectic Yangians	1
On the General Ranks of QP Representations	1
Some Universal Constructions in Representation Theory	1
Crystal Bases of Modified $$\imath $$quantum Groups of Certain Quasi-Split Types	1
Spectra of Groups	1
On Commutative Tensor Factors of Group Algebras	1
Crystals for shifted key polynomials	1
Preradicals Over Some Group Algebras	1
A Note on the Quantum Berezinian for the Double Yangian of the Lie Superalgebra $$\mathfrak {gl}_{m\|n}$$	1
The Nonvanishing First Hochschild Cohomology of Twisted Finite Simple Group Algebras	1
Weyl Modules for Toroidal Lie Algebras	1
1-Cycle Deformations for Yetter-Drinfeld Coalgebras	1
Graded Triangular Bases	1

Lusztig Varieties and Macdonald Polynomials	1
Thick Subcategories on Weighted Projective Curves and Nilpotent Representations of Quivers	1
On a Question of Auslander and Bridger on 2-Reflexive Modules	1
Fourier Transforms on Ringel–Hall Algebras	1
Representations of Hopf-Ore Extensions of Group Algebras	1
Growth Rates of the Number of Indecomposable Summands in Tensor Powers	1
Representations of the Restricted Lie Superalgebra p(n)	1
Non-Commutative Resolutions for the Discriminant of the Complex Reflection Group G(m, p, 2)	1
On Hilbert-Samuel Coefficients of Graded Local Cohomology Modules	1
Klyachko Diagrams of Monomial Ideals	1
Decompositions of Infinite-Dimensional $$A_{\infty , \infty }$$ Quiver Representations	1
Differential Identities and Polynomial Growth of the Codimensions	1
Twisted Affine Yangian and Rectangular W-algebra of type D	1
$$\infty $$-Dold-Kan Correspondence via Representation Theory	1
Classification of Finite Irreducible Conformal Modules over N = 2 Lie Conformal Superalgebras of Block Type	1
The Generalized Roof F(1, 2,n): Hodge Structures and Derived Categories	1
Projections of Nilpotent Orbits in a Simple Lie Algebra and Shared Orbits	1
A Quantization of the Loday-Ronco Hopf Algebra	1
A Note on the Codegree of Finite Groups	1
Symmetries of Quiver Schemes	1
Bases and Symmetric Structure Of Alternating Cyclotomic Hecke Algebras	1
On Simple Transitive 2-representations of Bimodules over the Dual Numbers	1
Symmetries of Algebras Captured by Actions of Weak Hopf Algebras	1
Universal Enveloping Algebras of Poisson Superalgebras	1
A Note on Constructing Quasi Modules for Quantum Vertex Algebras from Twisted Yangians	1
Primed Decomposition Tableaux and Extended Queer Crystals	1
Extremal Tensor Products of Demazure Crystals	1