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 2020-03-01 to 2024-03-01.)
ArticleCitations
Universal K-matrices for quantum Kac-Moody algebras6
Characters and generation of Sylow 2-subgroups6
Finite dimensional semigroups of unitary endomorphisms of standard subspaces6
Affine highest weight categories and quantum affine Schur-Weyl duality of Dynkin quiver types4
The sparsity of character tables of high rank groups of Lie type4
Rank-deficient representations in the theta correspondence over finite fields arise from quantum codes4
Character sheaves for classical symmetric pairs4
Cohomological representations of parahoric subgroups3
Robinson–Schensted–Knuth correspondence in the representation theory of the general linear group over a non-archimedean local field3
Quivers for ??₂ tilting modules3
On the socles of certain parabolically induced representations of ?-adic classical groups3
On unitary representations of algebraic groups over local fields3
Simple and projective correspondence functors3
Homological invariants of the arrow removal operation3
Towards combinatorial invariance for Kazhdan-Lusztig polynomials3
Gradings of Lie algebras, magical spin geometries and matrix factorizations2
A proof of Casselman’s comparison theorem2
Semisimple characters for inner forms II: Quaternionic forms of ?-adic classical groups (? odd)2
Spinoriality of orthogonal representations of reductive groups2
Irreducible tensor products of representations of covering groups of symmetric and alternating groups2
Jantzen filtration of Weyl modules, product of Young symmetrizers and denominator of Young’s seminormal basis2
Intertwining maps between ?-adic principal series of ?-adic groups2
On endomorphism algebras of Gelfand-Graev representations2
Derived equivalences and equivariant Jordan decomposition2
Calculus of archimedean Rankin–Selberg integrals with recurrence relations2
Global crystal bases for integrable modules over a quantum symmetric pair of type AIII2
Characters of irreducible unitary representations of ?(?,?+1) via double lifting from ?(1)1
Dilogarithm and higher ℒ-invariants for ?ℒ₃(?_{?})1
Varieties of elementary abelian Lie algebras and degrees of modules1
Unitary representations of totally disconnected locally compact groups satisfying Ol′šhanskiĭ’s factorisation1
Defect 2 spin blocks of symmetric groups and canonical basis coefficients1
The Grothendieck group of unipotent representations: A new basis1
Equivalence of a tangle category and a category of infinite dimensional ?_{?}(??₂)-modules1
Parabolic induction via the parabolic pro-? Iwahori–Hecke algebra1
Equivariant multiplicities of simply-laced type flag minors1
Parametrizing torsion pairs in derived categories1
Resolving irreducible ℂ?_{?}-modules by modules restricted from ??_{?}(ℂ)1
Distinguished strata in a reductive group1
Branching of metaplectic representation of ??(2,ℝ) under its principal ??(2,ℝ)-subgroup1
The integral geometric Satake equivalence in mixed characteristic1
The Mackey bijection for complex reductive groups and continuous fields of reduced group C*-algebras1
Eulerianity of Fourier coefficients of automorphic forms1
Stable maps, Q-operators and category ?1
Duals and admissibility in natural characteristic1
Local Langlands correspondence for unitary groups via theta lifts1
Equivalence of categories between coefficient systems and systems of idempotents1
An approach to the characterization of the local Langlands correspondence1
Microlocal characterization of Lusztig sheaves for affine quivers and ?-loops quivers1
Coherent IC-sheaves on type ?_{?} affine Grassmannians and dual canonical basis of affine type ?₁1
Splitting fields of real irreducible representations of finite groups1
Littlewood complexes for symmetric groups1
Typical representations via fixed point sets in Bruhat–Tits buildings1
Coordinate rings and birational charts1
Degenerate principal series for classical and odd GSpin groups in the general case1
The dependence on parameters of the inverse functor to the ?-finite functor1
Root components for tensor product of affine Kac-Moody Lie algebra modules1
Parametrization, structure and Bruhat order of certain spherical quotients1
On Donkin’s tilting module conjecture I: lowering the prime1
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?/?-graded Lie algebras and perverse sheaves, IV0
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Representation theoretic embedding of twisted Dirac operators0
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Self-dual cuspidal representations0
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Braid group action and quasi-split affine ?quantum groups I0
Knizhnik–Zamolodchikov functor for degenerate double affine Hecke algebras: algebraic theory0
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From Weyl groups to semisimple groups0
Stability of ?canonical bases of irreducible finite type of real rank one0
Relations between cusp forms sharing Hecke eigenvalues0
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Classification of irreducible representations of metaplectic covers of the general linear group over a non-archimedean local field0
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Quasi-split symmetric pairs of ?(??_{?}) and Steinberg varieties of classical type0
The Langlands-Shahidi method for pairs via types and covers0
Nilpotent varieties in symmetric spaces and twisted affine Schubert varieties0
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Formal degrees and the local theta correspondence: The quaternionic case0
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Reducing mod ? complex representations of finite reductive groups0
Skew cellularity of the Hecke algebras of type ?(ℓ,?,?)0
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On the extended weight monoid of a spherical homogeneous space and its applications to spherical functions0
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Unipotent representations attached to the principal nilpotent orbit0
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Cosets from equivariant ?-algebras0
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Invariant measures on nilpotent orbits associated with holomorphic discrete series0
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The Langlands dual and unitary dual of quasi-split ????₈^{?}0
Family of ?-modules and representations with a boundedness property0
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Speh representations are relatively discrete0
Kato’s irreducibility criterion for Kac-Moody groups over local fields0
Coxeter combinatorics for sum formulas in the representation theory of algebraic groups0
Restriction of irreducible unitary representations of ????(?,1) to parabolic subgroups0
Base change and triple product ?-series0
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Deligne–Lusztig duality on the moduli stack of bundles0
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L-packets over strong real forms0
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On input and Langlands parameters for epipelagic representations0
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An integral second fundamental theorem of invariant theory for partition algebras0
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Regular Functions on the ?-nilpotent cone0
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Description of unitary representations of the group of infinite ?-adic integer matrices0
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Reflexivity of Newton–Okounkov bodies of partial flag varieties0
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Unipotent character sheaves and strata of a reductive group0
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Partial flag manifolds over a semifield0
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Non-admissible irreducible representations of ?-adic ??_{?} in characteristic ?0
Geometric Waldspurger periods II0
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Koszul duality for Iwasawa algebras modulo ?0
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Total Positivity in Symmetric Spaces0
Some examples of simple generic ??-modules in positive characteristic0
Type-I permanence0
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Induction equivalence for equivariant ?-modules on rigid analytic spaces0
Weak cuspidality and the Howe correspondence0
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The Dipper-Du conjecture revisited0
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Representations of 2-transitive locally compact groups0
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Generalized Whittaker functions and Jacquet modules0
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Solid locally analytic representations of ?-adic Lie groups0
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Inverse Satake isomorphism and change of weight0
On induction of class functions0
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Locally analytic ???¹ for ??₂(ℚ_{?}) in de Rham non-trianguline case0
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A proof of the polynomial conjecture for restrictions of nilpotent lie groups representations0
McKay correspondence, cohomological Hall algebras and categorification0
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On the irreducible spin representations of symmetric and alternating groups which remain irreducible in characteristic 30
The Jordan–Chevalley decomposition for ?-bundles on elliptic curves0
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Unitriangular basic sets, Brauer characters and coprime actions0
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On categories ? of quiver varieties overlying the bouquet graphs0
Unipotent representations and microlocalization0
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On modular Harish-Chandra series of finite unitary groups0
Fourier transform as a triangular matrix0
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Character formulas in category ?_{?}0
Namikawa-Weyl groups of affinizations of smooth Nakajima quiver varieties0
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On unipotent representations of ramified ?-adic groups0
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The contraction category of graphs0
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Mirković–Vilonen basis in type ?₁0
On the generalised Springer correspondence for groups of type ?₈0
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