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217 papers in math.RT · page 1
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Hecke operators mimic simple ramification in complex cases
Graphs of Hecke operators in mixed ramification
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Multi-virtual twin groups admit exactly eight 2-local representation types
Presentations and Representations of the Multi-Virtual Twin Group and Associated Subgroups
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τ-regular modules are those with maximal rank projective presentations
On the additivity of projective presentations of maximal rank
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Classifying real isometries where linear conjugacy equals orthogonal conjugacy
Conjugacy of Isometries in Real Orthogonal Groups
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Nonvanishing character sets may control local behavior better than Sylow normalizers
Alperin's Main Problem of Block Theory
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Quiver skew braces resist groupoid-style decomposition
On quiver skew braces, their ideals and products
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Hecke-Clifford superalgebras are semisimple only when h exceeds n or 2n
Representations of Hecke-Clifford superalgebras at roots of unity
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Gieseker K-theory matches Jucys-Murphy center of cyclotomic Hecke algebra
K-theory of Gieseker variety and type A cyclotomic Hecke algebra
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Min and max sizes of well-balanced subsets found for all simple root systems
Balanced subsets in root systems
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Quiver decompositions explain oversmoothing in sheaf diffusion
Oversmoothing as Representation Degeneracy in Neural Sheaf Diffusion
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Monster CFT parafermionization produces so(3)_p symmetries
Parafermionizing the Monster
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Central extensions of tangent sheaf on formal 2-disk classified
Two-dimensional Virasoro algebras
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Linear isomorphisms create fractal structure in G-fan of Markov quiver
Fractal phenomenon in $c$- and $g$-vectors of the Markov quiver
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Orbital integrals converge on unitary groups in positive characteristic
Convergence of orbital integrals on unitary groups in positive characteristic
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Lie algebra middle convolution unifies algebraic and geometric cases
Middle convolution for Lie algebra representations
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Hecke monoid homomorphisms classified for classical types
Hecke monoids, their homomorphisms and parabolicity
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Flips on posets yield only semidistributive lattices
Flip of lattices
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Type C varieties realize quasi-split AIII iquantum groups
Affine $\mathrm{i}$quantum groups and Steinberg varieties of type C, II
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Reciprocity theorem extends from groups to symmetric algebras
A reciprocity theorem of Robinson-Benson-Webb for finite-dimensional symmetric algebras
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Jacobi-Trudi algebras supply BGG resolutions restricting to Specht modules
BGG resolutions, Koszulity, and stratifications, part II: the Jacobi-Trudi algebra
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Proper modules generate compact Fukaya categories of plumbings
Proper modules over Ginzburg dg algebras and compact Fukaya categories of plumbings
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New criterion settles semisimplicity for Jones-construction algebras
Semisimplicity Criteria for algebras with a Jones Basic Construction
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Reverse tableaux describe polyhedral crystal bases in type A_n
Young tableau descriptions for the polyhedral realizations of crystal bases in type $A_n$
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Broken diffeomorphisms admit n-dimensional Virasoro extension
Virasoro extensions for diffeomorphisms with breaks
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Homotopy colimits realize silting objects for nested t-structures
Limits and colimits in silting theory with applications to the wall and chamber structure of an algebra
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Refined Langlands correspondence holds for disconnected real groups
On the refined local Langlands conjecture for discrete $L$-parameters of inner forms of quasi-split disconnected real reductive groups
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Aubert-Zelevinsky duality on unipotent L-parameters is three geometric operations
A Microlocal Description of Aubert-Zelevinsky Duality on Unipotent $L$-Parameters
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Duality on unipotent L-parameters reduces to Fourier transform and conjugation
A Microlocal Description of Aubert-Zelevinsky Duality on Unipotent $L$-Parameters
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Heisenberg Verma modules map to Legendre polynomials via Sugawara operator
A Sugawara-Legendre mechanism for the hyperelliptic Heisenberg algebra
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Spin norm strictly increases along Vogan pencils for Sp(p,q)
Distribution of spin norm along pencils: the $Sp(p, q)$ case
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Scott module kernels decide Brauer indecomposability
Kernel of Scott modules and Brauer indecomposability
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Equivariant quasi-polynomials refine root-system counts
Equivariant version of the characteristic quasi-polynomials of root systems
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Equivariant quasi-polynomials computed for every root system
Equivariant version of the characteristic quasi-polynomials of root systems
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Folding extended Dynkin diagrams produces finite root systems
Root systems constructed by folding of the extended Dynkin diagrams
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Pinned splitting gives canonical bijection for depth-zero supercuspidals
A Pinned Local Langlands Correspondence for Depth-Zero Supercuspidal Representations
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Schur elements formula decides semisimplicity for Hecke-Clifford superalgebras
On the semisimplicity and Schur elements of (super)symmetric superalgebras
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Type I affine superalgebras have exactly u ordinary modules at boundary levels
Classification of the irreducible ordinary modules for affine vertex operator superalgebras
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Partition categories get faithful zero-one matrix reps
Faithful linear and relational representations of diagram categories and monoids
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Wilde conjecture reduces to nearly simple group checks
Zeros of characters and orders of elements in finite groups
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New categories yield higher-level affine wreath product algebras
Higher-level affine wreath product algebras
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Super Krawtchouk polynomials arise from Lie superalgebra representations
Super Krawtchouk Polynomials via Lie Superalgebras
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Divergence-zero Lie algebra modules are either cuspidal or highest weight
Classification of irreducible Harish-Chandra modules over extended Divergence-zero Lie algebras
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Proper Ginzburg algebras equip cluster algebras with Λ-structures
Additive categorification of the monoidal $\Lambda$-invariant
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Star-product yields central series for cocommutative Hopf braces
Central series of cocommutative Hopf braces
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Twisted Yu construction extends to residual characteristic 2
Characteristic-free approaches around Yu's construction
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Quiver tensor powers split into indecomposables at controlled rates
Growth rates of indecomposable summands in tensor powers of representations of quivers
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Side-preserving duality induces self-bijection on definable subcategories
A duality for definable subcategories and its application to torsion classes
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Affine cotangent bundle closure equals C* reduction of type D orbit
A connection between minimal nilpotent orbits of types A and D via Hamiltonian reduction
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Pinned bijection canonically refines Jordan decomposition of characters
Pinned Jordan Decomposition of Characters and Depth-Zero Hecke Algebras
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Central extension relations match orthogonal polynomial recurrences
A partial dictionary between universal central extensions and orthogonal polynomials in the superelliptic Krichever--Novikov setting