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The consistent reduction of the differential calculus on the quantum group $GL_{q}(2,C)$ to the differential calculi on its subgroups and $σ$-models on the quantum group manifolds $SL_{q}(2,R)$, $SL_{q}(2,R)/U_{h}(1)$, $C{q}(2|0)$ and infinitesimal t

Mathematics – Quantum Algebra
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The contraction of $SU_μ(2)$ and its differential structures to $E_κ(2)$

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The Correspondence between Geometric Quantization and Formal Deformation Quantization

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The Cremmer-Gervais solution of the Yang-Baxter equation

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The CROCs, non-commutative deformations, and (co)associative bialgebras

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The crystal commutor and Drinfeld's unitarized R-matrix

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The Crystal Duality Principle: from Hopf Algebras to Geometrical Symmetries

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The crystal structure on the set of Mirkovic-Vilonen polytopes

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The cubical complex of a permutation group representation - or however you want to call it

Mathematics – Quantum Algebra
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The Cylinder braiding of the quantum Weyl group of $sl_2$

Mathematics – Quantum Algebra
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The decomposition of level-1 irreducible highest weight modules with respect to the level-0 actions of the quantum affine algebra $U'_q(\hat{sl}_n)$

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The Deformation Quantization of $\Real^n$ via the specifiaction of the commutators

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The deformation quantization of certain super-Poisson brackets and BRST cohomology

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The deformations of nondegenerate constant Poisson bracket with even and odd deformation parameters

Mathematics – Quantum Algebra
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The diagrammatic Soergel category and sl(2) and sl(3) foams

Mathematics – Quantum Algebra
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The diagrammatic Soergel category and sl(N)-foams, for N > 3

Mathematics – Quantum Algebra
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The Dirac operator on SU_q(2)

Mathematics – Quantum Algebra
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The Donald-Flanigan problem for finite reflection groups

Mathematics – Quantum Algebra
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The double algebraic view of finite quantum groupoids

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The Double and Dual of a Quasitriangular Lie Bialgebra

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