Timeline for Cartier-Kostant-Milnor-Moore theorem
Current License: CC BY-SA 3.0
9 events
| when toggle format | what | by | license | comment | |
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| Mar 8, 2021 at 12:49 | comment | added | JamalS | Could you direct me to a reference on exploring this Galois descent for Hopf algebras? | |
| Feb 2, 2017 at 16:00 | vote | accept | a213f | ||
| Jan 22, 2017 at 23:08 | history | edited | Qiaochu Yuan | CC BY-SA 3.0 |
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| Jan 19, 2017 at 12:36 | comment | added | a213f | Thank you for your answer, it is very illuminating. Would it be also a ``counterexample'' of Milnor-Moore theorem for non algebraically closed fields? | |
| Jan 19, 2017 at 4:35 | comment | added | Qiaochu Yuan | @მამუკა ჯიბლაძე: you can repeat the above discussion verbatim but replacing $\Lambda = C_3$ with $\Lambda = \mathbb{Z}$. The result is that $\text{Spec } H$, thought of as an affine group scheme, is a real form of $\mathbb{G}_m$; I suppose it deserves the name $U(1)$? | |
| Jan 18, 2017 at 19:29 | history | edited | Qiaochu Yuan | CC BY-SA 3.0 |
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| Jan 18, 2017 at 9:29 | comment | added | მამუკა ჯიბლაძე | Cannot this (already quite neat) example be realized as (maybe some quotient of) the Hopf algebra holding the generic special orthogonal $2\times2$-matrix $\left[\begin{smallmatrix}c&s\\-s&c\end{smallmatrix}\right]$? It then is sort of dual of $k[SO(2)]$... | |
| Jan 18, 2017 at 6:00 | history | edited | Qiaochu Yuan | CC BY-SA 3.0 |
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| Jan 18, 2017 at 5:40 | history | answered | Qiaochu Yuan | CC BY-SA 3.0 |