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 2021-03-01 to 2025-03-01.)
ArticleCitations
10
Dilogarithm and higher ℒ-invariants for ????ℒ₃(????_{????})6
6
On the generalised Springer correspondence for groups of type ????₈6
Solid locally analytic representations of ????-adic Lie groups5
Knizhnik–Zamolodchikov functor for degenerate double affine Hecke algebras: algebraic theory4
Base change and triple product ????-series4
Representations of 2-transitive locally compact groups4
4
4
4
Restriction of irreducible unitary representations of ????????????????(????,1) to parabolic subgroups4
3
Type-I permanence3
3
On endomorphism algebras of Gelfand-Graev representations3
3
Reducing mod ???? complex representations of finite reductive groups3
3
2
2
Rank-deficient representations in the theta correspondence over finite fields arise from quantum codes2
Invariant measures on nilpotent orbits associated with holomorphic discrete series2
The integral geometric Satake equivalence in mixed characteristic2
Splitting fields of real irreducible representations of finite groups2
????Hall algebras of weighted projective lines and quantum symmetric pairs2
2
Character sheaves for classical symmetric pairs1
1
1
1
1
Mod ℓ Weil representations and Deligne–Lusztig inductions for unitary groups1
1
Description of unitary representations of the group of infinite ????-adic integer matrices1
Unipotent character sheaves and strata of a reductive group1
On the category ???? of a hybrid quantum group1
1
Some examples of simple generic ????????-modules in positive characteristic1
1
McKay correspondence, cohomological Hall algebras and categorification1
Branching of metaplectic representation of ????????(2,ℝ) under its principal ????????(2,ℝ)-subgroup1
Braid group action and quasi-split affine ????quantum groups I1
1
1
1
Quivers for ????????₂ tilting modules1
Sharpness versus bluntness in affine Weyl groups1
L-packets over strong real forms1
On unipotent representations of ramified ????-adic groups1
Littlewood complexes for symmetric groups1
1
Affine highest weight categories and quantum affine Schur-Weyl duality of Dynkin quiver types1
Categorifications of Non-Integer Quivers: Types ????₄, ????₃ and ????₂(2????+1)1
1
1
1
0
0
The Langlands-Shahidi method for pairs via types and covers0
Kato’s irreducibility criterion for Kac-Moody groups over local fields0
0
Irreducible tensor products of representations of covering groups of symmetric and alternating groups0
0
Parametrization, structure and Bruhat order of certain spherical quotients0
On the socles of certain parabolically induced representations of ????-adic classical groups0
0
0
0
0
0
0
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Locally analytic ????????????¹ for ????????₂(ℚ_{????}) in de Rham non-trianguline case0
Formal degrees and the local theta correspondence: The quaternionic case0
0
Robinson–Schensted–Knuth correspondence in the representation theory of the general linear group over a non-archimedean local field0
0
On Noetherian algebras, Schur functors and Hemmer–Nakano dimensions0
0
Deligne–Lusztig duality on the moduli stack of bundles0
Generalized Whittaker functions and Jacquet modules0
0
Category ????_{????} of multi-loop algebra representations versus modular representations: Questions of G. Lusztig0
0
0
Local Langlands correspondence for unitary groups via theta lifts0
0
0
0
0
Parabolic induction via the parabolic pro-???? Iwahori–Hecke algebra0
On the extended weight monoid of a spherical homogeneous space and its applications to spherical functions0
The Jordan–Chevalley decomposition for ????-bundles on elliptic curves0
0
0
0
0
Derived equivalences and equivariant Jordan decomposition0
The contraction category of graphs0
0
Coxeter combinatorics for sum formulas in the representation theory of algebraic groups0
Co-????-structures on derived categories of coherent sheaves and the cohomology of tilting modules0
Equivariant multiplicities of simply-laced type flag minors0
0
0
Stable maps, Q-operators and category ????0
The semi-linear representation theory of the infinite symmetric group0
Microlocal characterization of Lusztig sheaves for affine quivers and ????-loops quivers0
Skew cellularity of the Hecke algebras of type ????(ℓ,????,????)0
Arithmetic branching law and generic ????-packets0
Finite dimensional semigroups of unitary endomorphisms of standard subspaces0
0
0
0
Classification of irreducible representations of metaplectic covers of the general linear group over a non-archimedean local field0
Regular Functions on the ????-nilpotent cone0
On input and Langlands parameters for epipelagic representations0
0
0
0
Typical representations via fixed point sets in Bruhat–Tits buildings0
0
Equivalence of categories between coefficient systems and systems of idempotents0
Weak cuspidality and the Howe correspondence0
0
Unipotent representations attached to the principal nilpotent orbit0
0
0
Calculus of archimedean Rankin–Selberg integrals with recurrence relations0
Relations between cusp forms sharing Hecke eigenvalues0
Extended affine Lie algebras, affine vertex algebras, and general linear groups0
0
Realizations of ????₁⁽¹⁾-modules in category ̃????0
0
Kazhdan-Laumon category O, Braverman-Kazhdan Schwartz space, and the semi-infinite flag variety0
0
Cosets from equivariant ????-algebras0
Quasi-split symmetric pairs of ????(????????_{????}) and Steinberg varieties of classical type0
0
Unitriangular basic sets, Brauer characters and coprime actions0
Root components for tensor product of affine Kac-Moody Lie algebra modules0
0
An integral second fundamental theorem of invariant theory for partition algebras0
0
The Dipper-Du conjecture revisited0
Equivalence of a tangle category and a category of infinite dimensional ????_{????}(????????₂)-modules0
0
An approach to the characterization of the local Langlands correspondence0
Character formulas in category ????_{????}0
0
0
0
Characters of irreducible unitary representations of ????(????,????+1) via double lifting from ????(1)0
Total Positivity in Symmetric Spaces0
Defect 2 spin blocks of symmetric groups and canonical basis coefficients0
0
0
0
On induction of class functions0
The sparsity of character tables of high rank groups of Lie type0
On the irreducible spin representations of symmetric and alternating groups which remain irreducible in characteristic 30
Universal K-matrices for quantum Kac-Moody algebras0
0
A proof of Casselman’s comparison theorem0
Unipotent representations and microlocalization0
A proof of the polynomial conjecture for restrictions of nilpotent lie groups representations0
0
Characters, commutators and centers of Sylow subgroups0
0
0
0
0
0
Induction equivalence for equivariant ????-modules on rigid analytic spaces0
0
Homological invariants of the arrow removal operation0
0
Generic and mod ???? Kazhdan-Lusztig Theory for ????????₂0
0
Parametrizing torsion pairs in derived categories0
0
0
Intertwining maps between ????-adic principal series of ????-adic groups0
Family of ????-modules and representations with a boundedness property0
0
0
0
0
0
0
Associated varieties of minimal highest weight modules0
Erratum: Non-admissible irreducible representations of ????-adic ????????_{????} in characteristic ????0
Inverse Satake isomorphism and change of weight0
0
0
0
Eulerianity of Fourier coefficients of automorphic forms0
Finite central extensions of type I0
0
0
Non-admissible irreducible representations of ????-adic ????????_{????} in characteristic ????0
On unitary representations of algebraic groups over local fields0
0
0
0
0
0
Towards combinatorial invariance for Kazhdan-Lusztig polynomials0
Gradings of Lie algebras, magical spin geometries and matrix factorizations0
Stability of ????canonical bases of irreducible finite type of real rank one0
0
Namikawa-Weyl groups of affinizations of smooth Nakajima quiver varieties0
0
0
The dependence on parameters of the inverse functor to the ????-finite functor0
0
0
Distinguished strata in a reductive group0
On Donkin’s tilting module conjecture I: lowering the prime0
0
0
Duals and admissibility in natural characteristic0
0
0
Mirković–Vilonen basis in type ????₁0
Unitary representations of totally disconnected locally compact groups satisfying Ol′šhanskiĭ’s factorisation0
0
0
0
Reflexivity of Newton–Okounkov bodies of partial flag varieties0
Nilpotent varieties in symmetric spaces and twisted affine Schubert varieties0
Representation theoretic embedding of twisted Dirac operators0
Topological quantum field theories from Hecke algebras0
0
Coordinate rings and birational charts0
0
From Weyl groups to semisimple groups0
On categories ???? of quiver varieties overlying the bouquet graphs0
0
Simple and projective correspondence functors0
A resolution of singularities of Drinfeld compactification with an Iwahori structure0
0
The product of simple modules over KLR algebras and quiver Grassmannians0
0
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