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 2020-05-01 to 2024-05-01.)
ArticleCitations
Universal K-matrices for quantum Kac-Moody algebras9
Characters and generation of Sylow 2-subgroups6
Finite dimensional semigroups of unitary endomorphisms of standard subspaces6
Parametrizing torsion pairs in derived categories5
Robinson–Schensted–Knuth correspondence in the representation theory of the general linear group over a non-archimedean local field4
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
Character sheaves for classical symmetric pairs4
Rank-deficient representations in the theta correspondence over finite fields arise from quantum codes4
Simple and projective correspondence functors3
Homological invariants of the arrow removal operation3
Global crystal bases for integrable modules over a quantum symmetric pair of type AIII3
Cohomological representations of parahoric subgroups3
On Donkin’s tilting module conjecture I: lowering the prime3
On unitary representations of algebraic groups over local fields3
Irreducible tensor products of representations of covering groups of symmetric and alternating groups3
On the socles of certain parabolically induced representations of ?-adic classical groups3
Towards combinatorial invariance for Kazhdan-Lusztig polynomials3
Quivers for ??₂ tilting modules3
Spinoriality of orthogonal representations of reductive groups2
Partial flag manifolds over a semifield2
A proof of Casselman’s comparison theorem2
Intertwining maps between ?-adic principal series of ?-adic groups2
On endomorphism algebras of Gelfand-Graev representations2
Gradings of Lie algebras, magical spin geometries and matrix factorizations2
Jantzen filtration of Weyl modules, product of Young symmetrizers and denominator of Young’s seminormal basis2
Semisimple characters for inner forms II: Quaternionic forms of ?-adic classical groups (? odd)2
Derived equivalences and equivariant Jordan decomposition2
Calculus of archimedean Rankin–Selberg integrals with recurrence relations2
Equivalence of a tangle category and a category of infinite dimensional ?_{?}(??₂)-modules1
Parabolic induction via the parabolic pro-? Iwahori–Hecke algebra1
Root components for tensor product of affine Kac-Moody Lie algebra modules1
Parametrization, structure and Bruhat order of certain spherical quotients1
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
The integral geometric Satake equivalence in mixed characteristic1
Branching of metaplectic representation of ??(2,ℝ) under its principal ??(2,ℝ)-subgroup1
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
Duals and admissibility in natural characteristic1
Stable maps, Q-operators and category ?1
Equivariant multiplicities of simply-laced type flag minors1
An approach to the characterization of the local Langlands correspondence1
Characters of irreducible unitary representations of ?(?,?+1) via double lifting from ?(1)1
On unipotent representations of ramified ?-adic groups1
Varieties of elementary abelian Lie algebras and degrees of modules1
Splitting fields of real irreducible representations of finite groups1
The Mackey bijection for complex reductive groups and continuous fields of reduced group C*-algebras1
Eulerianity of Fourier coefficients of automorphic forms1
The dependence on parameters of the inverse functor to the ?-finite functor1
Degenerate principal series for classical and odd GSpin groups in the general case1
Local Langlands correspondence for unitary groups via theta lifts1
Equivalence of categories between coefficient systems and systems of idempotents1
Resolving irreducible ℂ?_{?}-modules by modules restricted from ??_{?}(ℂ)1
Distinguished strata in a reductive group1
On the generalised Springer correspondence for groups of type ?₈1
Littlewood complexes for symmetric groups1
Dilogarithm and higher ℒ-invariants for ?ℒ₃(?_{?})1
Typical representations via fixed point sets in Bruhat–Tits buildings1
Coordinate rings and birational charts1
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L-packets over strong real forms0
Locally analytic ???¹ for ??₂(ℚ_{?}) in de Rham non-trianguline case0
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Inverse Satake isomorphism and change of weight0
Mirković–Vilonen basis in type ?₁0
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Braid group action and quasi-split affine ?quantum groups I0
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Representation theoretic embedding of twisted Dirac operators0
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?/?-graded Lie algebras and perverse sheaves, IV0
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Base change and triple product ?-series0
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The Langlands-Shahidi method for pairs via types and covers0
Namikawa-Weyl groups of affinizations of smooth Nakajima quiver varieties0
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Restriction of irreducible unitary representations of ????(?,1) to parabolic subgroups0
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Family of ?-modules and representations with a boundedness property0
From Weyl groups to semisimple groups0
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On induction of class functions0
Knizhnik–Zamolodchikov functor for degenerate double affine Hecke algebras: algebraic theory0
Kato’s irreducibility criterion for Kac-Moody groups over local fields0
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A proof of the polynomial conjecture for restrictions of nilpotent lie groups representations0
?Hall algebras of weighted projective lines and quantum symmetric pairs0
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On modular Harish-Chandra series of finite unitary groups0
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Stability of ?canonical bases of irreducible finite type of real rank one0
Cosets from equivariant ?-algebras0
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Reflexivity of Newton–Okounkov bodies of partial flag varieties0
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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
Regular Functions on the ?-nilpotent cone0
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Coxeter combinatorics for sum formulas in the representation theory of algebraic groups0
Fourier transform as a triangular matrix0
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Formal degrees and the local theta correspondence: The quaternionic case0
Speh representations are relatively discrete0
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Type-I permanence0
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On the irreducible spin representations of symmetric and alternating groups which remain irreducible in characteristic 30
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On categories ? of quiver varieties overlying the bouquet graphs0
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The contraction category of graphs0
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Relations between cusp forms sharing Hecke eigenvalues0
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Weak cuspidality and the Howe correspondence0
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Nilpotent varieties in symmetric spaces and twisted affine Schubert varieties0
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Deligne–Lusztig duality on the moduli stack of bundles0
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On input and Langlands parameters for epipelagic representations0
The Jordan–Chevalley decomposition for ?-bundles on elliptic curves0
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Unipotent representations and microlocalization0
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Non-admissible irreducible representations of ?-adic ??_{?} in characteristic ?0
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Total Positivity in Symmetric Spaces0
Reducing mod ? complex representations of finite reductive groups0
Some examples of simple generic ??-modules in positive characteristic0
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The Langlands dual and unitary dual of quasi-split ????₈^{?}0
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McKay correspondence, cohomological Hall algebras and categorification0
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Induction equivalence for equivariant ?-modules on rigid analytic spaces0
Unitriangular basic sets, Brauer characters and coprime actions0
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Skew cellularity of the Hecke algebras of type ?(ℓ,?,?)0
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Invariant measures on nilpotent orbits associated with holomorphic discrete series0
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On the extended weight monoid of a spherical homogeneous space and its applications to spherical functions0
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An integral second fundamental theorem of invariant theory for partition algebras0
Self-dual cuspidal representations0
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Geometric Waldspurger periods II0
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Representations of 2-transitive locally compact groups0
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Solid locally analytic representations of ?-adic Lie groups0
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The Dipper-Du conjecture revisited0
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Description of unitary representations of the group of infinite ?-adic integer matrices0
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Generalized Whittaker functions and Jacquet modules0
Character formulas in category ?_{?}0
Unipotent character sheaves and strata of a reductive group0
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Unipotent representations attached to the principal nilpotent orbit0
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