OOIR: Observatory of International Research

Papers

(The TQCC of Transformation Groups 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
On the Weights of Root Subgroups of Affine Toric Varieties	7
$${{\,\textrm{SO}\,}}(3)$$-Homogeneous Decomposition of the Flag Scheme of $${{\,\textrm{SL}\,}}_3$$ over $$\mathbb {Z}\left[ 1/2\right] $$	6
$$B_{n-1}$$-orbits on the Flag Variety and the Bruhat Graph of the Symmetric Group	6
ON THE SATAKE ISOMORPHISM	6
Singular Cohomology of Symplectic Quotients by Circle Actions and Kirwan Surjectivity	5
Stable Vectors in Dual Vinberg Representations of F4	5
Rational Singularities for Moment Maps of Totally Negative Quivers	5
A Bruhat Atlas for the Mehta–van der Kallen Stratification of T∗GLn/B	5
Generalized Quasi-dihedral Group as Automorphism Group of Riemann Surfaces	5
Standard Compact Clifford-Klein Forms and Lie Algebra Decompositions	5
FAITHFUL ACTIONS OF AUTOMORPHISM GROUPS OF FREE GROUPS ON ALGEBRAIC VARIETIES	5
Maximal Dimension of Groups of Symmetries of Homogeneous 2-nondegenerate CR Structures of Hypersurface Type with a 1-dimensional Levi Kernel	5
Hard Lefschetz Property for Isometric Flows	5
Reductions of Path Structures and Classification of Homogeneous Structures in Dimension Three	5
Actions of Taft Algebras on Noetherian Down-Up Algebras	5
On Homogeneous Spaces for Diagonal Ind-Groups	4
Dynamics of Strongly I-regular Hyperbolic Elements on Affine Buildings	4
REPRESENTATION THEORY VIA COHOMOLOGY OF LINE BUNDLES	4
Deligne Categories and Representations of the Finite General Linear Group, Part 1: Universal Property	4
The Limit Set for Representations of Discrete Subgroups of $$\text {PU}(1,n)$$ by the Plücker Embedding	3
Quasi-Integrable Modules over Twisted Affine Lie Superalgebras	3
Recognizing the G2-horospherical Manifold of Picard Number 1 by Varieties of Minimal Rational Tangents	3
Weak Faces of Highest Weight Modules and Root Systems	3
Braidings for Non-Split Tambara-Yamagami Categories Over the Reals	3
Howe Duality and Dynamical Weyl Group	3

$${{\,\mathrm{\mathbb {P}GL}\,}}$$ Orbits in Tree Varieties	3
On the Integration of Relative Rota-Baxter Lie Algebras	3
A Spectral Sequence for Locally Free Isometric Lie Group Actions	3
NEW REALIZATIONS OF DEFORMED DOUBLE CURRENT ALGEBRAS AND DELIGNE CATEGORIES	3
Étale Geometry of Closures of Jordan Classes	2
A First Fundamental Theorem of Invariant Theory for the Quantum Queer Superalgebra	2
The Coarse Quotient for Affine Weyl Groups and Pseudo-reflection Groups	2
A Cohomology of Lie Conformal Algebras with Coefficients in Conformal Modules and its Applications to Abelian Extensions	2
Regularity of Unipotent Elements in Total Positivity	2
Symmetries of Supergeometries Related to Nonholonomic Superdistributions	2
Covering Numbers of Unipotent Conjugacy Classes in Simple Algebraic Groups	2
ON SHEAF COHOMOLOGY FOR SUPERGROUPS ARISING FROM SIMPLE CLASSICAL LIE SUPERALGEBRAS	2
The Intersection of Two Real Flag Manifolds in a Complex Flag Manifold	2
Ampleness of Normal Bundles of Base Cycles in Flag Domains	2
On $\mathfrak {sl}_{2}$-Triples for Classical Algebraic Groups in Positive Characteristic	2
Translation Surfaces in Lie Groups with Constant Gaussian Curvature	2
On Involutions of Minuscule Kirillov Algebras Induced by Real Structures	2
Automorphism Groups of Deformations and Quantizations of Kleinian Singularities	2
The Circular Delannoy Category	2
Affine RSK Correspondence and Crystals of Level Zero Extremal Weight Modules	2
GOOD FILTRATIONS FOR GENERALIZED SCHUR ALGEBRAS	2
Quasifold Groupoids and Diffeological Quasifolds	2
Global Stability of the Pluriclosed Flow on Compact Simply Connected Simple Lie Groups of Rank Two	2
Interval Exchange Transformations Groups: Free Actions and Dynamics of Virtually Abelian Groups	2
On Intersection Cohomology with Torus Action of Complexity One, II	2
Pseudo-Riemannian Symmetric Spaces of Signature (2, 2)	2
Dynkin Automorphism Actions on Gaudin Algebras	2
Projective Spaces as Orthogonal Modular Varieties	2
Divergence Property of the Brown-Thompson Groups and Braided Thompson Groups	1
Calogero-Moser Spaces and the Invariants of Two Matrices of Degree 3	1
Flasque Quasi-resolutions of Algebraic Varieties	1
Decomposing Tensor Product by Dirac Cohomology	1
Combinatorics of Irreducible Characters for Lie Superalgebra $$\mathfrak {gl}(m,n)$$	1
Extensible Endomorphisms of Compact Groups	1
GALOIS AUTOMORPHISMS AND CLASSICAL GROUPS	1
Matrix Valued Concomitants of $\text {SL}_{2}(\mathbb {C})$	1
Elementary Action of Classical Groups on Unimodular Rows Over Monoid Rings	1
Classification, Reduction, and Stability of Toric Principal Bundles	1
CALCULATING THE p-CANONICAL BASIS OF HECKE ALGEBRAS	1
Components of $$V(\rho ) \otimes V(\rho )$$ and Dominant Weight Polyhedra for Affine Kac–Moody Lie Algebras	1
Isometries of 3-Dimensional Semi-Riemannian Lie Groups	1
The Regular Property of Invariant Rings Over Regular Domains	1
Torsion in 1-Cusped Picard Modular Groups	1
Topological Rigidity of $${\textrm{SL}}_2$$-Quotients	1
ALMOST CYCLIC REGULAR SEMISIMPLE ELEMENTS IN IRREDUCIBLE REPRESENTATIONS OF SIMPLE ALGEBRAIC GROUPS	1
Geometric Vertex Decomposition, Gröbner Bases, and Frobenius Splittings for Regular Nilpotent Hessenberg Varieties	1
Whittaker Categories of Quasi-reductive Lie Superalgebras and Principal Finite W-superalgebras	1
Classification of Simple Strong Harish-Chandra Modules Over the Lie Superalgebra of Vector Fields on $$\mathbb {C}^{m\|n}$$	1
On the Invariant and Anti-Invariant Cohomologies of Hypercomplex Manifolds	1
STRATIFICATION OF A SINGULAR COMPONENT OF A SPRINGER FIBER OVER x2 = 0 OF THE SIMPLEST TYPE	1

Modular Tensor Categories, Subcategories, and Galois Orbits	1
Generic Coordinate Systems in Two Variables Over a Principal Ideal Domain	1
Classification and Double Commutant Property for Dual Pairs in an Orthosymplectic Lie Supergroup	1
SYMPLECTIC DIRAC OPERATORS FOR LIE ALGEBRAS AND GRADED HECKE ALGEBRAS	1
The Gromov Width of Bott-Samelson Varieties	1
An Example of Homomorphisms from Guay’s Affine Yangians to Non-rectangular W-algebras	1
A GEOMETRIC STEINBERG FORMULA	1
Rationality Problem of Two-Dimensional Quasi-Monomial Group Actions	1
Perverse Sheaves and the Cohomology of Regular Hessenberg Varieties	1
Automorphisms of the Ring of Invariants for the Binary Quintic Representation of $${{\,\textrm{SL}\,}}_2$$	1
Monotone Symplectic Six-Manifolds That Admit a Hamiltonian GKM Action are Diffeomorphic to Smooth Fano Threefolds	1
Locally Nilpotent Derivations of Graded Integral Domains and Cylindricity	1
Discrete Degree of Symmetry of Manifolds	1
Symplectic Coordinates on the Deformation Spaces of Convex Projective Structures on 2-Orbifolds	1
The Cohen-Macaulay Property of Invariant Rings Over Ring of Integers of a Global Field	1
On Degenerate Para-CR Structures: Cartan Reduction and Homogeneous Models	1
Accidental CR Structures	1
Symmetric Semi-invariants for some Inönü-Wigner Contractions-I	1