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q-quantization of Lie bialgebras

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#lie-algebras #hopf-algebras #quantum-groups #deformation-theory #poisson-geometry
166
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Concrete cases where $YX=qXY$

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#abstract-algebra #matrices #hopf-algebras #quantum-groups
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Some concrete examples of $M_q(2)$ points

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#abstract-algebra #matrices #representation-theory #hopf-algebras #quantum-groups
52
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What is wrong with this argument on $U_q(sl(2))$? What is missing to make it precise?

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#abstract-algebra #representation-theory #hopf-algebras #quantum-groups
75
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PBW theorem for quantum Lie algebras

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#lie-algebras #quantum-groups
35
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Are these 2 definitions of $K$ and $H$ on $U(sl_q(2))$ coherent?

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#abstract-algebra #complex-analysis #representation-theory #hopf-algebras #quantum-groups
689
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What is weight lattice modulo coroot lattice?

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#lie-algebras #root-systems #quantum-groups #lattices-in-lie-groups
50
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Indecomposable modules for the big quantum group

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#representation-theory #quantum-groups
52
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Sub-modules translate in sub-co-modules of the dual?

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#abstract-algebra #representation-theory #hopf-algebras #quantum-groups
107
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Quantum principal bundles in physics

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#differential-geometry #mathematical-physics #quantum-groups #noncommutative-geometry
45
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Computing the ribbon element of $\operatorname{U_q}(\mathfrak{sl}_2)$

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#lie-groups #mathematical-physics #hopf-algebras #quantum-groups
50
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Ribbon Element, Equivalence of Definitions

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#hopf-algebras #quantum-groups
99
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Toy example of deformed diffeomorphism group

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#group-theory #differential-geometry #quantum-groups #noncommutative-geometry #diffeomorphism
122
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What is the relationship between universal enveloping algebra $U(g)$ and the QUE algebras $U_{q}(g)$

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#abstract-algebra #quantum-groups
95
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Quantum Groups for Generic q and 3d-TQFT. What breaks?

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#differential-topology #knot-theory #quantum-field-theory #quantum-groups #knot-invariants

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