Timeline for Is the kernel of an action of a Hopf algebra on an algebra a biideal?
Current License: CC BY-SA 4.0
9 events
| when toggle format | what | by | license | comment | |
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| Jul 21, 2022 at 9:52 | comment | added | Sergei Akbarov | Darij I asked this here. | |
| Jul 20, 2022 at 17:02 | comment | added | Sergei Akbarov | By analogy one could expect that if a Hopf algebra $H$ acts on an algebra $A$, then this action can be represented as a composition of a homomorphism $f:H\to H'$ into some Hopf algebra $H'$, and an effective action of $H'$ on $A$, i.e. such that if $h\cdot x=0$ for all $x\in A$, then $h=0$. That is not true? | |
| Jul 20, 2022 at 17:02 | comment | added | Sergei Akbarov | Darij, does this mean that some actions of Hopf algebras are not factored through the effective actions? I mean that when a group $G$ acts on a set $X$, we always can represent this action as a composition of a homomorphism $f:G\to G'$ into some group $G'$, and an effective action of $G'$ on $X$, i.e. such that if $g\cdot x=x$ for all $x\in X$, then $g=1_G$. | |
| Mar 25, 2021 at 16:30 | history | edited | darij grinberg | CC BY-SA 4.0 |
added 475 characters in body
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| Mar 24, 2021 at 20:45 | vote | accept | Sergei Akbarov | ||
| Mar 24, 2021 at 17:50 | comment | added | darij grinberg | @SergeiAkbarov: $s_i$ is the permutation that swaps $i$ with $I+1$. | |
| Mar 24, 2021 at 11:19 | comment | added | Sergei Akbarov | Darij, excuse me, I don't understand something... What are $\sigma s_1$, $\sigma s_2$, etc.? | |
| Mar 23, 2021 at 20:36 | history | edited | darij grinberg | CC BY-SA 4.0 |
added 1171 characters in body
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| Mar 23, 2021 at 20:24 | history | answered | darij grinberg | CC BY-SA 4.0 |