Unrestricted quantum moduli algebras. II: Noetherianity and simple fraction rings at roots of 1.

Quantum groups (quantized enveloping algebras) and related deformations (17B37) Quantum groups and related algebraic methods applied to problems in quantum theory (81R50) Topological quantum field theories (aspects of differential topology) (57R56) Trace rings and invariant theory (associative rings and algebras) (16R30) Quantum groups (quantized function algebras) and their representations (20G42)

Cites Work

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Representations of the Kauffman bracket skein algebra. I: Invariants and miraculous cancellations
Analytic families of quantum hyperbolic invariants
Generalized Kashaev invariants for knots in three manifolds
Kitaev lattice models as a Hopf algebra gauge theory
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Quantum groups at roots of 1
q-Weyl group and a multiplicative formula for universal R-matrices
Some applications of the quantum Weyl groups
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Invariant theory
Topological interpretations of lattice gauge field theory
A finite set of generators for the Kauffman bracket skein algebra
Braided matrix structure of the Sklyanin algebra and of the quantum Lorentz group
Crystal bases of modified quantized enveloping algebra
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PBW basis of quantized universal enveloping algebras
Quantum function algebra at roots of 1
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Lectures on algebraic quantum groups
Quantum character varieties and braided module categories
On the quantum Teichmüller invariants of fibred cusped 3-manifolds
Triangular decomposition of skein algebras
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Non ambiguous structures on 3-manifolds and quantum symmetry defects
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Root vectors in quantum groups
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Two dimensional lattice gauge theory based on a quantum group
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3-dimensional TQFTs from non-semisimple modular categories
Stated skein algebras of surfaces
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Projective representations of mapping class groups in combinatorial quantization
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The center of the reflection equation algebra via quantum minors
Classical and quantum dilogarithmic invariants of flat $\text{PSL}(2,\mathbb C)$-bundles over 3-manifolds
Quantum hyperbolic geometry
Invariant theory, old and new
Representation theory of Chern-Simons observables
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Affine commutative-by-finite Hopf algebras
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Double affine Hecke algebras at roots of unity
Study of a $\mathbf Z$-form of the coordinate ring of a reductive group
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Constructing Canonical Bases of Quantized Enveloping Algebras
Quantum linear groups
Introduction to quantum groups
$A(\text{SL}_q(2))$ at roots of unity is a free module over $A(\text{SL}(2))$
Global IC bases for quantum linear groups
Finite presentations for stated skein algebras and lattice gauge field theory

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