List questions from hopf-algebras

Published on 25 Mar 2026 - 17:14

50

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What is wrong with this argument on $U_q(sl(2))$? What is missing to make it precise?

Published on 25 Mar 2026 - 11:11

100

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Relations between representations and corepresentations of dually paired Hopf algebras

Published on 25 Mar 2026 - 1:17

33

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Are these 2 definitions of $K$ and $H$ on $U(sl_q(2))$ coherent?

Published on 25 Mar 2026 - 11:14

102

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When is a monoidal structure on $\mathrm{Mod}_A$ induced by a bialgebra structure on $A$?

Published on 18 Jul 2018 - 19:38

50

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Sub-modules translate in sub-co-modules of the dual?

Published on 25 Mar 2026 - 11:11

160

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A "concrete" example of a left Hopf algebra

Published on 26 Mar 2026 - 23:09

136

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Lie algebra of a compact Lie group

Published on 17 Mar 2026 - 2:35

208

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Dual of cocyclic module is cyclic

Published on 25 Mar 2026 - 11:19

43

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Computing the ribbon element of $\operatorname{U_q}(\mathfrak{sl}_2)$

Published on 25 Mar 2026 - 14:22

34

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Modularity vs Antipode In the category $Bord^{\operatorname{or}}_{1,2,3}$

Published on 25 Mar 2026 - 3:20

70

Views

$U(\mathfrak{g})$ is identified as Hopf algebra to $\mathbb{C}[[G]]^*$?

Published on 18 Sep 2018 - 20:31

81

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The proof of $S(gh)=S(h)S(g)$ of an antipode in Hopf algebras

Published on 25 Mar 2026 - 12:49

47

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Ribbon Element, Equivalence of Definitions

Published on 25 Mar 2026 - 11:11

124

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The quotient of a connected graded bialgebra

Published on 25 Mar 2026 - 14:22

List Question

When is a Hopf Algebra isomorphic to a group ring k[G]?

What is wrong with this argument on $U_q(sl(2))$? What is missing to make it precise?

Relations between representations and corepresentations of dually paired Hopf algebras

Are these 2 definitions of $K$ and $H$ on $U(sl_q(2))$ coherent?

When is a monoidal structure on $\mathrm{Mod}_A$ induced by a bialgebra structure on $A$?

Sub-modules translate in sub-co-modules of the dual?

A "concrete" example of a left Hopf algebra

Lie algebra of a compact Lie group

Dual of cocyclic module is cyclic

Computing the ribbon element of $\operatorname{U_q}(\mathfrak{sl}_2)$

Modularity vs Antipode In the category $Bord^{\operatorname{or}}_{1,2,3}$

$U(\mathfrak{g})$ is identified as Hopf algebra to $\mathbb{C}[[G]]^*$?

The proof of $S(gh)=S(h)S(g)$ of an antipode in Hopf algebras

Ribbon Element, Equivalence of Definitions

The quotient of a connected graded bialgebra

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