List questions from coalgebras

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

46

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

Published on 11 Mar 2023 - 20:46

79

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Coalgebra structure on $T(V)=k\oplus V \oplus V\otimes V \oplus V^{\otimes 3}\oplus \cdots $

Published on 11 Apr 2023 - 13:46

21

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

Published on 10 Jun 2023 - 6:47

25

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Coalgebra presentation in terms of generators and relations?

Published on 08 Jul 2023 - 8:22

107

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Coideal Definition

Published on 16 Jul 2023 - 5:29

113

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Coderivations of cofree algebra

Published on 29 Jul 2023 - 17:31

125

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Alexander-Whitney map gives a coalgebra?

Published on 10 Sep 2023 - 7:06

128

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On the quadratic coalgebras

Published on 12 Sep 2023 - 16:58

120

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Equivalent definitions of Hopf algebras

Published on 25 Sep 2023 - 21:23

61

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Intuition for Coproduct of Grouplike vs Primitive elements in a Coalgebra?

Published on 23 Oct 2023 - 20:08

60

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Haar integral of a finite dimensional Hopf algebra: an explicit expression

Published on 26 Oct 2023 - 12:41

66

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The double dual of a coalgebra

Published on 30 Oct 2023 - 12:55

25

Views

Non unital Hopf relation

Published on 23 Feb 2026 - 13:34

68

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Is this hint for proving the fundamental theorem of coalgebras wrong?

Published on 14 Nov 2023 - 6:59

List Question

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?

Coalgebra structure on $T(V)=k\oplus V \oplus V\otimes V \oplus V^{\otimes 3}\oplus \cdots $

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

Coalgebra presentation in terms of generators and relations?

Coideal Definition

Coderivations of cofree algebra

Alexander-Whitney map gives a coalgebra?

On the quadratic coalgebras

Equivalent definitions of Hopf algebras

Intuition for Coproduct of Grouplike vs Primitive elements in a Coalgebra?

Haar integral of a finite dimensional Hopf algebra: an explicit expression

The double dual of a coalgebra

Non unital Hopf relation

Is this hint for proving the fundamental theorem of coalgebras wrong?

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