Stated $\mathrm{SL}(n)$-skein modules and algebras

Quantum groups (quantized enveloping algebras) and related deformations (17B37) Quantum groups (quantized function algebras) and their representations (20G42) Finite-type and quantum invariants, topological quantum field theories (TQFT) (57K16) Invariants of 3-manifolds (including skein modules, character varieties) (57K31)

Cites Work

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Webs and quantum skew Howe duality
Factorization homology of stratified spaces
Quantum traces for representations of surface groups in SL$_{2}(\mathbb C)$
Quantum groups at roots of 1
q-Weyl group and a multiplicative formula for universal R-matrices
Quantum Weyl group and a multiplicative formula for the R-matrix of a simple Lie algebra
The crystal commutor and Drinfeld's unitarized $R$-matrix
The half-twist for $U_q(\mathfrak g)$ representations
Reflection equation algebras, coideal subalgebras, and their centres
A q-analogue of Young symmetrizer
Quantum field theory and the Jones polynomial
Some topics on $GL_ q(n)$
Global crystal bases of quantum groups
Topological interpretations of lattice gauge field theory
Triangular decomposition of skein algebras
On skein algebras and $Sl_2(\mathbb{C})$-character varieties
Ribbon graphs and their invariants derived from quantum groups
$q$-Schur algebras, asymptotic forms, and quantum $SL_ n$
Combinatorial quantization of the Hamiltonian Chern-Simons theory. II
Two dimensional lattice gauge theory based on a quantum group
Spiders for rank 2 Lie algebras
Link invariants and combinatorial quantization of Hamiltonian Chern Simons theory
Stated skein modules of marked 3-manifolds/surfaces, a survey
$\mathrm{SU}(3)$-skein algebras and webs on surfaces
Stated skein algebras of surfaces
The Chebyshev-Frobenius homomorphism for stated skein modules of 3-manifolds
The center of the reflection equation algebra via quantum minors
Confluence theory for graphs
Moduli spaces of local systems and higher Teichmüller theory
Representation theory of Chern-Simons observables
Skein theory for $SU(n)$-quantum invariants
Study of a $\mathbf Z$-form of the coordinate ring of a reductive group
Quantized trace rings
Factorization homology of topological manifolds
Cluster ensembles, quantization and the dilogarithm
Canonical bases in tensor products.
QUANTUM TEICHMÜLLER SPACES AND QUANTUM TRACE MAP
The Yang-Mills equations over Riemann surfaces
Introduction to quantum groups
Quantum invariants of knots and 3-manifolds
Triangular decomposition of $\mathrm{SL}_3$ skein algebras

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Stated \(\mathrm{SL}(n)\)-skein modules and algebras