Timeline for Is $Tor_A(k,k)$ a bicommutative Hopf algebra?
Current License: CC BY-SA 4.0
5 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Apr 13, 2020 at 19:03 | answer | added | Vladimir Dotsenko | timeline score: 9 | |
| Apr 13, 2020 at 17:56 | comment | added | Connor Malin | Proposition 7.10 gives the comultiplication: $[a_1,\dots, a_n] \rightarrow \Sigma [a_1, \dots, a_j] \otimes [a_{j+1},\dots,a_n]$. | |
| Apr 13, 2020 at 17:21 | comment | added | Connor Malin | What is the comultiplication? To get the multiplication we apply $\operatorname{Tor}_A(-,k)$ to $k \otimes k \rightarrow k$ and then precompose with the map $\operatorname{Tor}_A (k,k) \otimes \operatorname{Tor}_A (k,k) \rightarrow \operatorname{Tor}_A(k \otimes k,k)$. But to get the comultiplication it seems like we can't play the same game with $k \rightarrow k \otimes k$ since the canonical map $\operatorname{Tor}_A (k,k) \otimes \operatorname{Tor}_A (k,k) \rightarrow \operatorname{Tor}_A(k \otimes k,k)$ is in the wrong direction. | |
| Apr 13, 2020 at 11:35 | review | First posts | |||
| Apr 13, 2020 at 12:08 | |||||
| Apr 13, 2020 at 11:34 | history | asked | crystallineperiodic | CC BY-SA 4.0 |