Representation Theory

Papers
(The median citation count of Representation Theory is 0. 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 2021-08-01 to 2025-08-01.)
ArticleCitations
Invariant measures on nilpotent orbits associated with holomorphic discrete series17
Restriction of irreducible unitary representations of ????????????????(????,1) to parabolic subgroups11
5
4
4
4
Non-admissible irreducible representations of ????-adic ????????_{????} in characteristic ????3
Mod ℓ Weil representations and Deligne–Lusztig inductions for unitary groups3
Arithmetic geometry of character varieties with regular monodromy3
Coxeter combinatorics for sum formulas in the representation theory of algebraic groups3
3
3
3
Some examples of simple generic ????????-modules in positive characteristic3
Characters of irreducible unitary representations of ????(????,????+1) via double lifting from ????(1)3
2
2
2
2
2
The contraction category of graphs2
A resolution of singularities of Drinfeld compactification with an Iwahori structure2
The dependence on parameters of the inverse functor to the ????-finite functor2
On input and Langlands parameters for epipelagic representations2
2
Homological invariants of the arrow removal operation2
2
2
Regular Functions on the ????-nilpotent cone2
An approach to the characterization of the local Langlands correspondence1
Total Positivity in Symmetric Spaces1
1
Towards combinatorial invariance for Kazhdan-Lusztig polynomials1
On the generalised Springer correspondence for groups of type ????₈1
1
On the irreducible spin representations of symmetric and alternating groups which remain irreducible in characteristic 31
Quasi-split symmetric pairs of ????(????????_{????}) and Steinberg varieties of classical type1
Representation theoretic embedding of twisted Dirac operators1
Arithmetic branching law and generic ????-packets1
1
1
Unipotent character sheaves and strata of a reductive group1
1
On categories ???? of quiver varieties overlying the bouquet graphs1
1
1
Relations between cusp forms sharing Hecke eigenvalues1
1
From Weyl groups to semisimple groups1
Microlocal characterization of Lusztig sheaves for affine quivers and ????-loops quivers1
Extended affine Lie algebras, affine vertex algebras, and general linear groups1
On the category ???? of a hybrid quantum group1
Representations of 2-transitive locally compact groups1
1
Kato’s irreducibility criterion for Kac-Moody groups over local fields1
Topological quantum field theories from Hecke algebras1
Distinguished strata in a reductive group1
Nilpotent varieties in symmetric spaces and twisted affine Schubert varieties0
Family of ????-modules and representations with a boundedness property0
Associated varieties of minimal highest weight modules0
Cosets from equivariant ????-algebras0
0
Continuous group cohomology with coefficients in locally analytic vectors of admissible ℚ_{????}-Banach space representations0
Typical representations via fixed point sets in Bruhat–Tits buildings0
0
Character sheaves for classical symmetric pairs0
0
Unitary representations of totally disconnected locally compact groups satisfying Ol′šhanskiĭ’s factorisation0
Finite central extensions of type I0
0
0
0
0
Stable maps, Q-operators and category ????0
0
0
0
Namikawa-Weyl groups of affinizations of smooth Nakajima quiver varieties0
0
Simple supercuspidal ????-packets of symplectic groups over dyadic fields0
0
0
0
0
0
Reflexivity of Newton–Okounkov bodies of partial flag varieties0
Locally analytic ????????????¹ for ????????₂(ℚ_{????}) in de Rham non-trianguline case0
0
On the socles of certain parabolically induced representations of ????-adic classical groups0
0
Equivariant multiplicities of simply-laced type flag minors0
0
0
0
0
Parametrization, structure and Bruhat order of certain spherical quotients0
Sharpness versus bluntness in affine Weyl groups0
Generalized Whittaker functions and Jacquet modules0
Bidilation of small Littlewood-Richardson coefficients0
Affine highest weight categories and quantum affine Schur-Weyl duality of Dynkin quiver types0
0
0
0
0
0
0
0
Mirković–Vilonen basis in type ????₁0
0
0
0
0
Indecomposable characters of inductive limits of symmetric groups0
Erratum: Non-admissible irreducible representations of ????-adic ????????_{????} in characteristic ????0
0
On endomorphism algebras of Gelfand-Graev representations0
Character formulas in category ????_{????}0
0
0
Derived equivalences and equivariant Jordan decomposition0
0
0
0
Stability of ????canonical bases of irreducible finite type of real rank one0
0
Base change and triple product ????-series0
Realizations of ????₁⁽¹⁾-modules in category ̃????0
Generic and mod ???? Kazhdan-Lusztig Theory for ????????₂0
0
0
0
0
Canonical filtrations on Harish-Chandra modules0
Local Langlands correspondence for unitary groups via theta lifts0
0
L-packets over strong real forms0
Characters, commutators and centers of Sylow subgroups0
0
Deligne–Lusztig duality on the moduli stack of bundles0
Calculus of archimedean Rankin–Selberg integrals with recurrence relations0
0
0
The Jordan–Chevalley decomposition for ????-bundles on elliptic curves0
0
Unipotent representations attached to the principal nilpotent orbit0
0
0
0
0
0
Intertwining maps between ????-adic principal series of ????-adic groups0
Coordinate rings and birational charts0
0
Parabolic induction via the parabolic pro-???? Iwahori–Hecke algebra0
The semi-linear representation theory of the infinite symmetric group0
Category ????_{????} of multi-loop algebra representations versus modular representations: Questions of G. Lusztig0
0
0
Type-I permanence0
0
On Donkin’s tilting module conjecture I: lowering the prime0
0
0
0
0
0
0
Splitting fields of real irreducible representations of finite groups0
0
Automorphic-twisted summation formulae for pairs of quadratic spaces0
Solid locally analytic representations of ????-adic Lie groups0
0
0
0
Defect 2 spin blocks of symmetric groups and canonical basis coefficients0
0
0
0
0
Weak cuspidality and the Howe correspondence0
????Hall algebras of weighted projective lines and quantum symmetric pairs0
Uniform integrality of critical values of the Rankin–Selberg ????-function for ????????_{????}×????????_{????-1}0
On the local converse theorem for split ????????_{2????}0
Unipotent representations and microlocalization0
0
0
0
0
Induction equivalence for equivariant ????-modules on rigid analytic spaces0
0
An integral second fundamental theorem of invariant theory for partition algebras0
0
The product of simple modules over KLR algebras and quiver Grassmannians0
On Noetherian algebras, Schur functors and Hemmer–Nakano dimensions0
Knizhnik–Zamolodchikov functor for degenerate double affine Hecke algebras: algebraic theory0
Inverse Satake isomorphism and change of weight0
Formal degrees and the local theta correspondence: The quaternionic case0
The Dipper-Du conjecture revisited0
The Langlands-Shahidi method for pairs via types and covers0
0
0
0
Root components for tensor product of affine Kac-Moody Lie algebra modules0
Kazhdan-Laumon category O, Braverman-Kazhdan Schwartz space, and the semi-infinite flag variety0
0
On the extended weight monoid of a spherical homogeneous space and its applications to spherical functions0
Classification of irreducible representations of metaplectic covers of the general linear group over a non-archimedean local field0
The integral geometric Satake equivalence in mixed characteristic0
0
0
Duals and admissibility in natural characteristic0
0
0
On unipotent representations of ramified ????-adic groups0
McKay correspondence, cohomological Hall algebras and categorification0
0
Unitriangular basic sets, Brauer characters and coprime actions0
0
Braid group action and quasi-split affine ????quantum groups I0
Branching of metaplectic representation of ????????(2,ℝ) under its principal ????????(2,ℝ)-subgroup0
Co-????-structures on derived categories of coherent sheaves and the cohomology of tilting modules0
Equivariant quantizations of the positive nilradical and covariant differential calculi0
A proof of the polynomial conjecture for restrictions of nilpotent lie groups representations0
0
Universal K-matrices for quantum Kac-Moody algebras0
Skew cellularity of the Hecke algebras of type ????(ℓ,????,????)0
A proof of Casselman’s comparison theorem0
0
Categorifications of Non-Integer Quivers: Types ????₄, ????₃ and ????₂(2????+1)0
0
0.11660003662109