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 2021-06-01 to 2025-06-01.)
ArticleCitations
Invariant measures on nilpotent orbits associated with holomorphic discrete series12
Restriction of irreducible unitary representations of ????????????????(????,1) to parabolic subgroups11
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Some examples of simple generic ????????-modules in positive characteristic4
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Mod ℓ Weil representations and Deligne–Lusztig inductions for unitary groups4
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Coxeter combinatorics for sum formulas in the representation theory of algebraic groups3
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Non-admissible irreducible representations of ????-adic ????????_{????} in characteristic ????3
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Characters of irreducible unitary representations of ????(????,????+1) via double lifting from ????(1)3
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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
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Equivalence of categories between coefficient systems and systems of idempotents2
Regular Functions on the ????-nilpotent cone2
Eulerianity of Fourier coefficients of automorphic forms2
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Homological invariants of the arrow removal operation2
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Towards combinatorial invariance for Kazhdan-Lusztig polynomials1
1
An approach to the characterization of the local Langlands correspondence1
On the category ???? of a hybrid quantum group1
Littlewood complexes for symmetric groups1
1
On input and Langlands parameters for epipelagic representations1
Kato’s irreducibility criterion for Kac-Moody groups over local fields1
Quasi-split symmetric pairs of ????(????????_{????}) and Steinberg varieties of classical type1
On the generalised Springer correspondence for groups of type ????₈1
Total Positivity in Symmetric Spaces1
Unipotent character sheaves and strata of a reductive group1
Representation theoretic embedding of twisted Dirac operators1
Distinguished strata in a reductive group1
On categories ???? of quiver varieties overlying the bouquet graphs1
On the irreducible spin representations of symmetric and alternating groups which remain irreducible in characteristic 31
Irreducible tensor products of representations of covering groups of symmetric and alternating groups1
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Microlocal characterization of Lusztig sheaves for affine quivers and ????-loops quivers1
Relations between cusp forms sharing Hecke eigenvalues1
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Topological quantum field theories from Hecke algebras1
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Representations of 2-transitive locally compact groups1
Extended affine Lie algebras, affine vertex algebras, and general linear groups1
Description of unitary representations of the group of infinite ????-adic integer matrices0
Cosets from equivariant ????-algebras0
A proof of Casselman’s comparison theorem0
Sharpness versus bluntness in affine Weyl groups0
The integral geometric Satake equivalence in mixed characteristic0
Braid group action and quasi-split affine ????quantum groups I0
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????Hall algebras of weighted projective lines and quantum symmetric pairs0
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Universal K-matrices for quantum Kac-Moody algebras0
Gradings of Lie algebras, magical spin geometries and matrix factorizations0
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On Noetherian algebras, Schur functors and Hemmer–Nakano dimensions0
Affine highest weight categories and quantum affine Schur-Weyl duality of Dynkin quiver types0
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Namikawa-Weyl groups of affinizations of smooth Nakajima quiver varieties0
On the extended weight monoid of a spherical homogeneous space and its applications to spherical functions0
Mirković–Vilonen basis in type ????₁0
0
Weak cuspidality and the Howe correspondence0
The product of simple modules over KLR algebras and quiver Grassmannians0
Local Langlands correspondence for unitary groups via theta lifts0
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The Jordan–Chevalley decomposition for ????-bundles on elliptic curves0
Root components for tensor product of affine Kac-Moody Lie algebra modules0
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Generalized Whittaker functions and Jacquet modules0
Intertwining maps between ????-adic principal series of ????-adic groups0
Calculus of archimedean Rankin–Selberg integrals with recurrence relations0
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Arithmetic branching law and generic ????-packets0
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Equivariant multiplicities of simply-laced type flag minors0
Character formulas in category ????_{????}0
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Equivariant quantizations of the positive nilradical and covariant differential calculi0
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Skew cellularity of the Hecke algebras of type ????(ℓ,????,????)0
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Family of ????-modules and representations with a boundedness property0
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Stability of ????canonical bases of irreducible finite type of real rank one0
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Knizhnik–Zamolodchikov functor for degenerate double affine Hecke algebras: algebraic theory0
McKay correspondence, cohomological Hall algebras and categorification0
L-packets over strong real forms0
0
Parametrizing torsion pairs in derived categories0
Character sheaves for classical symmetric pairs0
0
Splitting fields of real irreducible representations of finite groups0
Simple supercuspidal ????-packets of symplectic groups over dyadic fields0
Indecomposable characters of inductive limits of symmetric groups0
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Unitary representations of totally disconnected locally compact groups satisfying Ol′šhanskiĭ’s factorisation0
0
Nilpotent varieties in symmetric spaces and twisted affine Schubert varieties0
On unitary representations of algebraic groups over local fields0
On endomorphism algebras of Gelfand-Graev representations0
Parabolic induction via the parabolic pro-???? Iwahori–Hecke algebra0
0
Stable maps, Q-operators and category ????0
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Co-????-structures on derived categories of coherent sheaves and the cohomology of tilting modules0
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The Dipper-Du conjecture revisited0
Induction equivalence for equivariant ????-modules on rigid analytic spaces0
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The Langlands-Shahidi method for pairs via types and covers0
Locally analytic ????????????¹ for ????????₂(ℚ_{????}) in de Rham non-trianguline case0
Classification of irreducible representations of metaplectic covers of the general linear group over a non-archimedean local field0
Duals and admissibility in natural characteristic0
From Weyl groups to semisimple groups0
Kazhdan-Laumon category O, Braverman-Kazhdan Schwartz space, and the semi-infinite flag variety0
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Inverse Satake isomorphism and change of weight0
Realizations of ????₁⁽¹⁾-modules in category ̃????0
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Type-I permanence0
Deligne–Lusztig duality on the moduli stack of bundles0
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Coordinate rings and birational charts0
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Typical representations via fixed point sets in Bruhat–Tits buildings0
An integral second fundamental theorem of invariant theory for partition algebras0
Associated varieties of minimal highest weight modules0
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Solid locally analytic representations of ????-adic Lie groups0
On Donkin’s tilting module conjecture I: lowering the prime0
Unipotent representations and microlocalization0
0
Derived equivalences and equivariant Jordan decomposition0
On unipotent representations of ramified ????-adic groups0
Categorifications of Non-Integer Quivers: Types ????₄, ????₃ and ????₂(2????+1)0
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Base change and triple product ????-series0
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Unitriangular basic sets, Brauer characters and coprime actions0
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Generic and mod ???? Kazhdan-Lusztig Theory for ????????₂0
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Quivers for ????????₂ tilting modules0
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Canonical filtrations on Harish-Chandra modules0
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Formal degrees and the local theta correspondence: The quaternionic case0
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Unipotent representations attached to the principal nilpotent orbit0
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Reflexivity of Newton–Okounkov bodies of partial flag varieties0
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Robinson–Schensted–Knuth correspondence in the representation theory of the general linear group over a non-archimedean local field0
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On the socles of certain parabolically induced representations of ????-adic classical groups0
Parametrization, structure and Bruhat order of certain spherical quotients0
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Erratum: Non-admissible irreducible representations of ????-adic ????????_{????} in characteristic ????0
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On the local converse theorem for split ????????_{2????}0
Category ????_{????} of multi-loop algebra representations versus modular representations: Questions of G. Lusztig0
0
Branching of metaplectic representation of ????????(2,ℝ) under its principal ????????(2,ℝ)-subgroup0
Automorphic-twisted summation formulae for pairs of quadratic spaces0
Characters, commutators and centers of Sylow subgroups0
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The semi-linear representation theory of the infinite symmetric group0
Finite central extensions of type I0
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Defect 2 spin blocks of symmetric groups and canonical basis coefficients0
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A proof of the polynomial conjecture for restrictions of nilpotent lie groups representations0
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