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What is the natural action of $U(\mathfrak{g})$ on $\mathbb{C}[G]$?

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#representation-theory #quantum-groups #hopf-algebras
96
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Induced coaction on a vector space.

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#abstract-algebra #representation-theory #hopf-algebras
32
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What is the meaning of "B is a bialgebra covariantly acting on A"?

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#abstract-algebra #representation-theory #hopf-algebras
673
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Augmented coalgebras

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#abstract-algebra #hopf-algebras #coalgebras
256
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Group Ring to Hopf Algebra -- I'm missing something simple

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#abstract-algebra #group-theory #hopf-algebras
227
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Beginning the study of coalgebras and the sigma notation.

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#abstract-algebra #hopf-algebras
888
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Understanding tensor-products in the commutative diagram of a k-Algebra

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#abstract-algebra #vector-spaces #lie-groups #tensor-products #hopf-algebras
156
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Questions about $\mathrm{Hom}_k(V, W) \cong W \otimes V^*$.

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#representation-theory #hopf-algebras #quantum-groups
77
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How to show that $J$ is a coideal of $C$ if and only if $J^{\perp}$ is a subalgebra of $C^*$?

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#abstract-algebra #representation-theory #hopf-algebras #quantum-groups
115
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How to check if an algebra is not an Hopf Algebra

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#abstract-algebra #reference-request #modules #hopf-algebras
84
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The notation $A^{\text{cop}}$.

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#abstract-algebra #hopf-algebras #coalgebras
119
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On proposition I.3.2 of 'Quantum groups' by Kassel.

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#hopf-algebras #quantum-groups
175
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Motivation for looking at the coalgebra structure of incidence algebra resp. group algebra

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#abstract-algebra #order-theory #hopf-algebras #algebras #mobius-inversion
333
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Graphical calculus for braided Hopf algebras

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#hopf-algebras #quantum-groups
254
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Hopf algebras and "unifying" representation theory

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#representation-theory #hopf-algebras

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