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