Representation Theory

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