[1] Categorifications and cyclotomic rational double affine Hecke algebras

[2] Fusion bialgebras and Fourier analysis: Analytic obstructions for unitary categorification

[3] Yang-Baxter relation planar algebras

[4] Ringel-Hall algebras beyond their quantum groups I: Restriction functor and Green's formula

[5] Heisenberg algebras and rational double affine Hecke algebras

[6] First fundamental theorems of invariant theory for quantum supergroups

[7] Quantizable functions on Kähler manifolds and non-formal quantization

[8] The Grothendieck Ring of a Family of Spherical Categories

[9] Generalized Bäcklund–Darboux transformations for Coxeter–Toda flows from a cluster algebra perspective

[10] Classification of Grothendieck rings of complex fusion categories of multiplicity one up to rank six

[11] Lifting shadings on symmetrically self-dual subfactor planar algebras

[12] Antisymmetric characters and Fourier duality

[13] Remarks on Hall algebras of triangulated categories

[14] Weak Hopf Algebras and Singular Solutions of Quantum Yang–Baxter Equation

[15] Parabolic Presentations of the Super Yangian Y(glM|N) Associated with Arbitrary 01-Sequences

[16] Canonical bases arising from quantum symmetric pairs

[17] On the center of quiver Hecke algebras

[18] Quantized Graphs and Quantum Error Correction

[19] Atiyah classes of strongly homotopy Lie pairs

[20] Gromov--Witten theory of Fano orbifold curves, Gamma integral structures and ADE-Toda Hierarchies

[21] Ding-Iohara algebras and quantum vertex algebras

[22] The Alexander polynomial as quantum invariant of links

[23] Strict comparison and $$ \mathcal{Z} $$ -absorption of nuclear$C$^{∗}-algebras

[24] A Wozniakowski, and AM Jaffe, Quon 3D language for quantum information

[25] Geometric realizations of Lusztig's symmetries

[26] Classification of holomorphic framed vertex operator algebras of central charge 24

[27] Quantum Dilogarithm Identities at Root of Unity

[28] Kapranov's Construction of Homotopy Leibniz Algebras

[29] Geometric realizations of Lusztig's symmetries of symmetrizable quantum groups

[30] Koszul duality of affine Kac-Moody algebras and cyclotomic rational double affine Hecke algebras

[31] Cluster Realization of Uq(g) and Factorizations of The Universal R-matrix

[32] Weak Lie 2-bialgebras

[33] Crystals of fock spaces and cyclotomic rational double affine hecke algebras

[34] Un scindage du morphisme de Frobenius quantique

[35] Canonical bases and quantum coordinate algebras

[36] BGP-Reflection Functors and Lusztig's Symmetries of Modified Quantized Enveloping Algebras

[37] Composed inclusions of A3 and A4subfactors

[38] Positive Casimir and Central Characters of Split Real Quantum Groups

[39] Essential dimension of central simple algebras

[40] A parameterization of the canonical bases of affine modified quantized enveloping algebras

[41] Hall algebras of cyclic quivers and q-deformed Fock spaces

[42] Counting Unimodular Lattices in $\R^{r,s}$

[43] Parabolic Presentations of the Super Yangian Y (glM|N)

[44] Invariant subsets under compact quantum group actions.

[45] Gauss-lusztig Decomposition for Positive Quantum Groups and Representation by Q-tori

[46] On rationality for C_2-cofinite vertex operator algebras

[47] Lower bounds for numbers of real solutions in problems of Schubert calculus

[48] On tensor products decomposition of positive representations of Uqq~(sl(2,R))

[49] On Tensor Products of Positive Representations of Split Real Quantum Borel Subalgebra Uqq (bℝ)

[50] Graded decomposition matrices of v-schur algebras via jantzen filtration

[51] Faithful compact quantum group actions on connected compact metrizable spaces.

[52] Cluster Realization of Positive Representations of a Split Real Quantum Borel Subalgebra

[53] Positive Representations of Non-simply-laced Split Real Quantum Groups

[54] Kapranov's L∞ structures, Fedosov's star products and one-loop exact BV quantizations on Kähler manifolds

[55] Positive Representations of Split Real Quantum Groups: The Universal R Operator

[56] Canonical bases and affine Hecke algebras of type D

[57] A geometric construction of representations of the Berezin-Toeplitz quantization

[58] Ribbon tensor structure on the full representation categories of the singlet vertex algebras

[59] Finite W-superalgebras via super Yangians

[60] On semisimplicity of module categories for finite non-zero index vertex operator subalgebras

[61] Tensor categories for vertex operator superalgebra extensions

[62] Counting Unimodular Lattices in $\R^{r, s} $

[63] Gluing vertex algebras

[64] New structure for orthogonal quantum group invariants

[65] Direct limit completions of vertex tensor categories

[66] Tensor structure on the Kazhdan-Lusztig category for affine gl(1|1)

[67] Proof of the Labastida-Marino-Ooguri-Vafa conjecture

[68] Structure of Virasoro tensor categories at central charge 13−6p−6/p for integers p>1

[69] Twisted modules and G-equivariantization in logarithmic conformal field theory

[70] Some remarks on associated varieties of vertex operator superalgebras

[71] On ribbon categories for singlet vertex algebras

[72] Quon language: surface algebras and Fourier duality

[73] On the tensor structure of modules for compact orbifold vertex operator algebras

[74] Classification of Thurston-relation subfactor planar algebras

[75] Vertex algebraic intertwining operators among generalized Verma modules for affine Lie algebras

[76] Categorification of quantum symmetric pairs I.

[77] An sl_2-type tensor category for the Virasoro algebra at central charge 25 and applications

[78] 1-Supertransitive Subfactors with Index at Most 6+1/5

[79] Exchange relation planar algebras of small rank

[80] Singly generated planar algebras of small dimension, Part III

[81] Uncertainty principles for Kac algebras

[82] An angle between intermediate subfactors and its rigidity

[83] Holographic software for quantum networks

[84] Planar Para Algebras, Reflection Positivity