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 2021-05-01 to 2025-05-01.)
ArticleCitations
Invariant measures on nilpotent orbits associated with holomorphic discrete series12
Restriction of irreducible unitary representations of ????????????????(????,1) to parabolic subgroups10
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Mod ℓ Weil representations and Deligne–Lusztig inductions for unitary groups4
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On induction of class functions3
Non-admissible irreducible representations of ????-adic ????????_{????} in characteristic ????3
Coxeter combinatorics for sum formulas in the representation theory of algebraic groups3
Some examples of simple generic ????????-modules in positive characteristic3
Characters of irreducible unitary representations of ????(????,????+1) via double lifting from ????(1)3
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Homological invariants of the arrow removal operation2
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The contraction category of graphs2
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A resolution of singularities of Drinfeld compactification with an Iwahori structure2
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Equivalence of categories between coefficient systems and systems of idempotents2
Regular Functions on the ????-nilpotent cone2
Representation theoretic embedding of twisted Dirac operators1
Unipotent character sheaves and strata of a reductive group1
Total Positivity in Symmetric Spaces1
On the generalised Springer correspondence for groups of type ????₈1
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Kato’s irreducibility criterion for Kac-Moody groups over local fields1
Eulerianity of Fourier coefficients of automorphic forms1
On input and Langlands parameters for epipelagic representations1
Representations of 2-transitive locally compact groups1
Extended affine Lie algebras, affine vertex algebras, and general linear groups1
Distinguished strata in a reductive group1
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Quasi-split symmetric pairs of ????(????????_{????}) and Steinberg varieties of classical type1
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The dependence on parameters of the inverse functor to the ????-finite functor1
On categories ???? of quiver varieties overlying the bouquet graphs1
Littlewood complexes for symmetric groups1
An approach to the characterization of the local Langlands correspondence1
On the category ???? of a hybrid quantum group1
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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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Topological quantum field theories from Hecke algebras1
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Character sheaves for classical symmetric pairs0
Calculus of archimedean Rankin–Selberg integrals with recurrence relations0
Splitting fields of real irreducible representations of finite groups0
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On the local converse theorem for split ????????_{2????}0
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Character formulas in category ????_{????}0
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From Weyl groups to semisimple groups0
Gradings of Lie algebras, magical spin geometries and matrix factorizations0
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Generic and mod ???? Kazhdan-Lusztig Theory for ????????₂0
Microlocal characterization of Lusztig sheaves for affine quivers and ????-loops quivers0
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Base change and triple product ????-series0
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Canonical filtrations on Harish-Chandra modules0
Induction equivalence for equivariant ????-modules on rigid analytic spaces0
A proof of Casselman’s comparison theorem0
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Categorifications of Non-Integer Quivers: Types ????₄, ????₃ and ????₂(2????+1)0
Formal degrees and the local theta correspondence: The quaternionic case0
On Noetherian algebras, Schur functors and Hemmer–Nakano dimensions0
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Intertwining maps between ????-adic principal series of ????-adic groups0
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Mirković–Vilonen basis in type ????₁0
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Equivariant multiplicities of simply-laced type flag minors0
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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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Coordinate rings and birational charts0
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Inverse Satake isomorphism and change of weight0
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On the extended weight monoid of a spherical homogeneous space and its applications to spherical functions0
Deligne–Lusztig duality on the moduli stack of bundles0
Cosets from equivariant ????-algebras0
Knizhnik–Zamolodchikov functor for degenerate double affine Hecke algebras: algebraic theory0
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On the socles of certain parabolically induced representations of ????-adic classical groups0
Description of unitary representations of the group of infinite ????-adic integer matrices0
Branching of metaplectic representation of ????????(2,ℝ) under its principal ????????(2,ℝ)-subgroup0
????Hall algebras of weighted projective lines and quantum symmetric pairs0
The Langlands-Shahidi method for pairs via types and covers0
McKay correspondence, cohomological Hall algebras and categorification0
Classification of irreducible representations of metaplectic covers of the general linear group over a non-archimedean local field0
Indecomposable characters of inductive limits of symmetric groups0
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Family of ????-modules and representations with a boundedness property0
Characters, commutators and centers of Sylow subgroups0
Affine highest weight categories and quantum affine Schur-Weyl duality of Dynkin quiver types0
The semi-linear representation theory of the infinite symmetric group0
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Relations between cusp forms sharing Hecke eigenvalues0
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Defect 2 spin blocks of symmetric groups and canonical basis coefficients0
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Parametrizing torsion pairs in derived categories0
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Simple supercuspidal ????-packets of symplectic groups over dyadic fields0
The integral geometric Satake equivalence in mixed characteristic0
The product of simple modules over KLR algebras and quiver Grassmannians0
Stability of ????canonical bases of irreducible finite type of real rank one0
Derived equivalences and equivariant Jordan decomposition0
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On unitary representations of algebraic groups over local fields0
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Kazhdan-Laumon category O, Braverman-Kazhdan Schwartz space, and the semi-infinite flag variety0
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Automorphic-twisted summation formulae for pairs of quadratic spaces0
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Parabolic induction via the parabolic pro-???? Iwahori–Hecke algebra0
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Local Langlands correspondence for unitary groups via theta lifts0
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The Jordan–Chevalley decomposition for ????-bundles on elliptic curves0
Nilpotent varieties in symmetric spaces and twisted affine Schubert varieties0
Finite central extensions of type I0
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Unipotent representations attached to the principal nilpotent orbit0
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Braid group action and quasi-split affine ????quantum groups I0
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On unipotent representations of ramified ????-adic groups0
Arithmetic branching law and generic ????-packets0
Universal K-matrices for quantum Kac-Moody algebras0
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Dilogarithm and higher ℒ-invariants for ????ℒ₃(????_{????})0
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Typical representations via fixed point sets in Bruhat–Tits buildings0
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On endomorphism algebras of Gelfand-Graev representations0
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Unitary representations of totally disconnected locally compact groups satisfying Ol′šhanskiĭ’s factorisation0
Towards combinatorial invariance for Kazhdan-Lusztig polynomials0
Unipotent representations and microlocalization0
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Associated varieties of minimal highest weight modules0
Realizations of ????₁⁽¹⁾-modules in category ̃????0
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
L-packets over strong real forms0
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Weak cuspidality and the Howe correspondence0
Reflexivity of Newton–Okounkov bodies of partial flag varieties0
Type-I permanence0
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Parametrization, structure and Bruhat order of certain spherical quotients0
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Locally analytic ????????????¹ for ????????₂(ℚ_{????}) in de Rham non-trianguline case0
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Category ????_{????} of multi-loop algebra representations versus modular representations: Questions of G. Lusztig0
Stable maps, Q-operators and category ????0
Duals and admissibility in natural characteristic0
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Generalized Whittaker functions and Jacquet modules0
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Unitriangular basic sets, Brauer characters and coprime actions0
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The Dipper-Du conjecture revisited0
Erratum: Non-admissible irreducible representations of ????-adic ????????_{????} in characteristic ????0
Skew cellularity of the Hecke algebras of type ????(ℓ,????,????)0
An integral second fundamental theorem of invariant theory for partition algebras0
Solid locally analytic representations of ????-adic Lie groups0
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On Donkin’s tilting module conjecture I: lowering the prime0
Quivers for ????????₂ tilting modules0
Root components for tensor product of affine Kac-Moody Lie algebra modules0
Sharpness versus bluntness in affine Weyl groups0
Namikawa-Weyl groups of affinizations of smooth Nakajima quiver varieties0
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