List questions from hopf-algebras

Published on 25 Mar 2026 - 20:34

78

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A morphism of bialgebras between two Hopf algebras is necessarily a morphism of Hopf Algebras.

Published on 25 Mar 2026 - 19:07

23

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Intersection of a chain of coideals in k-coalgebras

Published on 25 Mar 2026 - 23:39

16

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Show that $HK^+$ is a coideal where $K$ is a subHopfalgebra of $H$, $K^+=\mathrm{ker}(\epsilon)\cap K$.

Published on 10 Mar 2026 - 8:42

47

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Why are the maps $\eta, \mu, \Delta, \varepsilon$ linear?

Published on 25 Mar 2026 - 20:35

119

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Proving that a symmetric bilinear form on $L$ is invariant

Published on 26 Mar 2026 - 2:45

43

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Adjunction between groups and complete Hopf algebras

Published on 25 Mar 2026 - 4:15

211

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Determining the grouplike elements of a Hopf algebra

Published on 28 Mar 2026 - 3:03

272

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Find all invariant symmetric bilinear forms of $\mathfrak {sl}(2)$

Published on 26 Mar 2026 - 2:45

20

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Compute $S(E^i F^j K^l)$ in $U_q$

Published on 26 Mar 2026 - 2:46

70

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Sweedler's notation and commutators of Hopf subalgebras

Published on 26 Apr 2023 - 11:41

78

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Compute $\operatorname{Ext}_{\mathcal{A}_2}^{s,t}(\mathcal{A}_2/ I(\mathcal A_2 . Sq^1), \mathbb F_2).$

Published on 26 Mar 2026 - 1:34

21

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Is there any way to show that the algebraic tensor product $A[[h]] \otimes A[[h]] \subsetneq (A \otimes A) [[h]]\ $?

Published on 25 Mar 2026 - 4:43

22

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Coradical filtration and socle series $C_n=\mathrm{Soc}^{n+1}(C)$

Published on 25 Mar 2026 - 22:04

45

Views

If $H$ is a Hopf algebra deformation of $U (\mathfrak g)$ then $H/h H \simeq U (\mathfrak g)$ as a Hopf algebra.

Published on 25 Mar 2026 - 13:58

List Question

Proving the uniqueness of a map

A morphism of bialgebras between two Hopf algebras is necessarily a morphism of Hopf Algebras.

Intersection of a chain of coideals in k-coalgebras

Show that $HK^+$ is a coideal where $K$ is a subHopfalgebra of $H$, $K^+=\mathrm{ker}(\epsilon)\cap K$.

Why are the maps $\eta, \mu, \Delta, \varepsilon$ linear?

Proving that a symmetric bilinear form on $L$ is invariant

Adjunction between groups and complete Hopf algebras

Determining the grouplike elements of a Hopf algebra

Find all invariant symmetric bilinear forms of $\mathfrak {sl}(2)$

Compute $S(E^i F^j K^l)$ in $U_q$

Sweedler's notation and commutators of Hopf subalgebras

Compute $\operatorname{Ext}_{\mathcal{A}_2}^{s,t}(\mathcal{A}_2/ I(\mathcal A_2 . Sq^1), \mathbb F_2).$

Is there any way to show that the algebraic tensor product $A[[h]] \otimes A[[h]] \subsetneq (A \otimes A) [[h]]\ $?

Coradical filtration and socle series $C_n=\mathrm{Soc}^{n+1}(C)$

If $H$ is a Hopf algebra deformation of $U (\mathfrak g)$ then $H/h H \simeq U (\mathfrak g)$ as a Hopf algebra.

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