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106 papers in math.QA · page 1
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Affine Lyndon word chains repeat periodically in every type
Chains of affine standard Lyndon words
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Monomial basis gives simple algorithm for canonical bases
Monomial bases and canonical bases for quantum affine algebras
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Dual canonical bases match Berenstein-Greenstein doubles
Quiver varieties and dual canonical bases
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Diagrammatic revival enables universal Lie algebra formulas
Diagrammatic technique for Vogel's universality
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Summing all topologies solves 3D quantum gravity
A solvable model of 3d quantum gravity
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Refined Chern-Simons universality holds only for simply laced groups
A note on universality in refined Chern-Simons theory
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Localized stated skein algebras equal quantum cluster algebras on polygons
Quantum cluster algebra realization for stated ${\rm SL}_n$-skein algebras and rotation-invariant bases for polygons
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Quiver skew braces resist groupoid-style decomposition
On quiver skew braces, their ideals and products
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Central unitary extends q-deformed USp
Compact Quantum Group Extensions of $USp_q(2n)$, $O_q(n)$ and $SO_q(2n)$
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q-deformed USp, O and SO groups extended by central unitaries
Compact Quantum Group Extensions of $USp_q(2n)$, $O_q(n)$ and $SO_q(2n)$
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Monster CFT parafermionization produces so(3)_p symmetries
Parafermionizing the Monster
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Hecke monoid homomorphisms classified for classical types
Hecke monoids, their homomorphisms and parabolicity
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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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Factor systems classify strongly graded rings up to isomorphism
Factor systems and geometric structures of strongly graded rings
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Ergodic coactions yield new compact quantum hypergroups
Quantum hypergroups arising from ergodic coactions
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Opposite brace triples equate to Hopf braces under cocommutativity
Opposite brace triples, Hopf braces and matched pairs of Hopf algebras
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3-manifold quantum invariants are easy exactly when categories are pointed
A Complexity Dichotomy for Quantum Invariants of 3-Manifolds
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Pro-tensor networks handle many-many-body theories without standard limits
Pro-Tensor Network
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Local vector bundles generate free Poisson 2-algebra bundles
Equivariant Poisson 2-Algebra Bundles over Configuration Spaces
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Equivariant bundles yield free commutative 2-algebras
Equivariant Poisson 2-Algebra Bundles over Configuration Spaces
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Local vector bundles generate free commutative 2-algebra bundles
Equivariant Poisson 2-Algebra Bundles over Configuration Spaces
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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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New categories yield higher-level affine wreath product algebras
Higher-level affine wreath product algebras
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Weight-4 gauges realize high-rate BB quantum codes
Topological subsystem bivariate bicycle codes with four-qubit check operators
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Star-product yields central series for cocommutative Hopf braces
Central series of cocommutative Hopf braces
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Vertical transformation shows CFT field functors are equivalences
Modular functors and CFT correlators via double categories
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Axioms uniquely define bordism categories with geometric structures
Higher categories of bordisms with geometric structures
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Absence of units makes linearly distributive categories coherent
Linearly distributive coherence in the absence of units
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Combinatorial aspects shorten normal ordering computations
Combinatorial aspects of normal ordering of 3-dimensional skew polynomial rings
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Software shortens normal ordering calculations in skew polynomial rings
Combinatorial aspects of normal ordering of 3-dimensional skew polynomial rings
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AI generates full math paper matching advanced undergrad work
Using Large Language Models as a Co-Author in Undergraduate Quantum Group Research
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Code isomorphism determines lattice isomorphism for A and B
Classification of isomorphism classes of lattices from Construction A and B
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Braid symmetries extended to supersymmetric quantum pairs
Relative braid group symmetries on quantum supersymmetric pairs of type sAIII
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Local operators split KhR invariants into bicomplex cohomologies
Reductions in Khovanov-Rozansky operator formalism
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Resolution homomorphism yields HOMFLYPT invariant for pseudo links
A HOMFLYPT-type invariant for pseudo links via a resolution in Hecke algebras
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Noetherian Hopf algebras still lack a general finite injective dimension proof
Report on $AS$-Gorenstein Hopf algebras
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Bosonic ghost four-point functions carry logarithmic singularities
Bosonic Ghost Correlators: A Case Study
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Spacetime quantum connection constructed from time slices
Time-slicing quantum spacetimes
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Connections on noncommutative curves exist iff jet sequences split
Holomorphic Jet Modules and Holomorphic Connections for Noncommutative Complex Curves
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Twist of quantum group generates long-range spin-chain deformations
The quantum group structure of long-range integrable deformations
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Concave partition removes spurious TEE in stabilizer codes
Resolving spurious topological entanglement entropy in stabilizer codes
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Selective projection pattern yields generalized quantum Ramsey theorem
A generalized infinite quantum Ramsey theorem for operator systems
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SYZ mirror symmetry proves A-brane quantization isomorphism
Brane quantization and SYZ mirror symmetry
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Mirror symmetry equates endomorphism algebras of dual branes
Brane quantization and SYZ mirror symmetry
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Refined homomorphisms induce sl2 symmetry in triplet W-algebras
Derivations on the triplet $W$-algebras with $\mathfrak{sl}_2$-symmetry
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Tameness of super Yangian modules fixed by highest-weight test
Representations of Super Yangians with Gelfand-Tsetlin bases
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Every AQFT has a prefactorization algebra of its superselection sectors
Prefactorization algebras of superselection sectors
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Super restriction map fails to be isomorphism for so7
Super-Chevalley Restriction and Relative Lie Algebra Cohomology over the 2|3 Algebra
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Two norms on nonassociative L^p spaces agree in scale but not shape
Spectral versus interpolation norms in tracial nonassociative $\mathrm{L}^p$-spaces
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Supertrusses yield superbraces and generalize Yang-Baxter to superschemes
Affine Supertrusses and Superbraces