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 2021-05-01 to 2025-05-01.)

Article	Citations
Affinoid Dixmier Modules and the Deformed Dixmier-Moeglin Equivalence	9
Modular Products and Modules for Finite Groups	6
Extremal Weight Crystals Over Affine Lie Algebras of Infinite Rank	5
Triangular matrix categories II: Recollements and functorially finite subcategories	5
Dimension Theory in Iterated Local Skew Power Series Rings	5
A Note on the Global Dimension of Shifted Orders	4
Partial and Global Representations of Finite Groups	4
On Minimal Tilting Complexes in Highest Weight Categories	4
Topologically Semiperfect Topological Rings	4
Stable Centres of Iwahori-Hecke Algebras of Type A	4
An Indicator Formula for the Hopf Algebra $$k^{S_{n-1}}\#kC_n$$	3
Wide Subcategories and Lattices of Torsion Classes	3
On Interpolation Categories for the Hyperoctahedral Group	3
Graded Identities and Central Polynomials for the Verbally Prime Algebras	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
Unique Factorization for Tensor Products of Parabolic Verma Modules	3
Classification of Non-Degenerate Involutive Set-Theoretic Solutions to the Yang-Baxter Equation with Multipermutation Level Two	3
A Gelfand–MacPherson Correspondence for Quiver Moduli	3
Reeder’s Conjecture for Even Orthogonal Lie Algebras	3
Free Rota-Baxter Family Algebras and Free (tri)dendriform Family Algebras	3
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
Twisted Representations of the Extended Heisenberg-Virasoro Vertex Operator Algebra	3
Isomorphism Problems and Groups of Automorphisms for Ore Extensions $$K[x][y; f\frac{d}{dx} ]$$ (Prime Characteristic)	3
Automorphisms of Quantum Toroidal Algebras from an Action of the Extended Double Affine Braid Group	3
The Derived-Discrete Algebras Over the Real Numbers	3

Reflection Groups and Rigidity of Quadratic Poisson Algebras	2
Combinatorial Aspects of An Odd Linkage Property for General Linear Supergroups	2
Dipper Donkin Quantized Matrix Algebra and Reflection Equation Algebra at Root of Unity	2
τ-tilting Finiteness of Biserial Algebras	2
Hopf Algebra (Co)actions on Rational Functions	2
On the Classification of Graded Twisted Planes	2
Classifying Recollements of Derived Module Categories for Derived Discrete Algebras	2
Singular Equivalences Induced by Bimodules and Quadratic Monomial Algebras	2
Spin Chains as Modules over the Affine Temperley–Lieb Algebra	2
TTF Theories Induced by Two-Term Tilting Complexes and Self-Injective Algebras	2
Highest Weight Modules for Affine and Loop Superalgebras of $$\mathfrak {osp}_{1\|2}(\mathbb C)$$	2
Translation Hopf Algebras and Hopf Heaps	2
Idempotent Varieties of Incidence Monoids and Bipartite Posets	2
Singular Polynomials for the Rational Cherednik Algebra for G(r, 1, 2)	2
Weight-Finite Modules Over the Quantum Affine and Double Quantum Affine Algebras of Type $\mathfrak a_{1}$	2
Minimal Triangular Structures on Abelian Extensions	2
A Note on Schur-Weyl Dualities for GL(m) and GL(m\|n)	2
Standard Bases for the Universal Associative Conformal Envelopes of Kac–Moody Conformal Algebras	2
Universal Quantum (Semi)groups and Hopf Envelopes	2
Coherence for Plactic Monoids via Rewriting Theory and Crystal Structures	2
Gelfand-Tsetlin Modules: Canonicity and Calculations	2
Mickelsson Algebras via Hasse Diagrams	2
The Simple Connectedness of Tame Algebras with Separating Almost Cyclic Coherent Auslander–Reiten Components	2
$$D_7^{(1)}$$- Geometric Crystal at the Spin Node	2
Infinitely Generated Gorenstein Tilting Modules	2
Locally Finite Central Simple Algebras	2
The Liftability Question for Stable Equivalences Between Representation-Finite Self-Injective Algebras	2
Presentations of Braid Groups of Type A Arising from $$(m+2)$$-angulations of Regular Polygons	2
On Euclidean Components of Auslander-Reiten Quivers of Finite Group Schemes	1
Differential Graded Bocses and $A_{\infty }$-Modules	1
Tilting Modules and Exceptional Sequences for a Family of Dual Extension Algebras	1
On a Deformation Theory of Finite Dimensional Modules Over Repetitive Algebras	1
Derived Equivalences for a Class of PI Algebras	1
A Quantization of the Loday-Ronco Hopf Algebra	1
The Nonvanishing First Hochschild Cohomology of Twisted Finite Simple Group Algebras	1
The Generalized Roof F(1, 2,n): Hodge Structures and Derived Categories	1
Correction to: A Differential Calculus on Z3-Graded Quantum Superspace ℝq(2\|1)	1
Spectra of Groups	1
Weyl Modules for Toroidal Lie Algebras	1
Universal Enveloping Algebras of Poisson Superalgebras	1
Projections of Nilpotent Orbits in a Simple Lie Algebra and Shared Orbits	1
Primed Decomposition Tableaux and Extended Queer Crystals	1
Computation of the Homology of the Complexes of Finite Verma Modules for ${K}_{4}^{\prime }$	1
A Drinfeld-Type Presentation of the Orthosymplectic Yangians	1
On the Semisimple Orbits of Restricted Cartan Type Lie Algebras W, S and H	1
On the Fundamental Group of a Spherical Variety	1
Commutative Non-Noetherian Rings with the Diamond Property	1
Quiver Grassmannians of Type $\widetilde {D}_{n}$, Part 2: Schubert Decompositions and F-polynomials	1
On the Properties of Acyclic Sign-Skew-Symmetric Cluster Algebras	1
On the General Ranks of QP Representations	1

On Quiver Representations over $\mathbb {F}_{1}$	1
Torsion Pairs and t-Structures in $$\textrm{D}^{b}(\text {coh}(\mathbb {X}))$$	1
Modified Traces and the Nakayama Functor	1
Preradicals Over Some Group Algebras	1
A Note on the Codegree of Finite Groups	1
From the Lattice of Torsion Classes to the Posets of Wide Subcategories and ICE-closed Subcategories	1
Differential Identities and Polynomial Growth of the Codimensions	1
Endomorphism Algebras of Equivariant Exceptional Collections	1
On Simple Transitive 2-representations of Bimodules over the Dual Numbers	1
Serre Functors and Graded Categories	1
Categorification of Sign-Skew-Symmetric Cluster Algebras and Some Conjectures on g-Vectors	1
A Note on the Quantum Berezinian for the Double Yangian of the Lie Superalgebra $$\mathfrak {gl}_{m\|n}$$	1
Some Universal Constructions in Representation Theory	1
Module Categories of Small Radical Nilpotency	1
On Hilbert-Samuel Coefficients of Graded Local Cohomology Modules	1
The Mukai Conjecture for Fano Quiver Moduli	1
Representations of Hopf-Ore Extensions of Group Algebras	1
On the Cohomology of Quiver Grassmannians for Acyclic Quivers	1
Symmetries of Algebras Captured by Actions of Weak Hopf Algebras	1
Algebraic Structures in Group-theoretical Fusion Categories	1
Extremal Tensor Products of Demazure Crystals	1
On Quiver Grassmannians and Orbit Closures for Gen-Finite Modules	1
Finite-dimensional Algebras are (m> 2)-Calabi-Yau-tilted	1
A Note on Constructing Quasi Modules for Quantum Vertex Algebras from Twisted Yangians	1
Decompositions of Infinite-Dimensional $$A_{\infty , \infty }$$ Quiver Representations	1
Weak Silting Modules	1
Klyachko Diagrams of Monomial Ideals	1
Non-Commutative Resolutions for the Discriminant of the Complex Reflection Group G(m, p, 2)	1
A Note on Singularity Categories and Triangular Matrix Algebras	1
Fourier Transforms on Ringel–Hall Algebras	1
Graded Triangular Bases	1
Ring Constructions and Generation of the Unbounded Derived Module Category	1
Lusztig Varieties and Macdonald Polynomials	1
Growth Rates of the Number of Indecomposable Summands in Tensor Powers	1
On the Cohomology of Lie Algebras with an Invariant Inner Product	1
Crystal Bases of Modified $$\imath $$quantum Groups of Certain Quasi-Split Types	1
Representations of the Restricted Lie Superalgebra p(n)	1
Torsion Pairs and Ringel Duality for Schur Algebras	1