Timeline for Is there an explicit description of the corestriction map $H^1(H, M) \rightarrow H^1(G, M)$?
Current License: CC BY-SA 3.0
5 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Oct 27, 2017 at 12:16 | vote | accept | spin | ||
| Oct 27, 2017 at 12:16 | comment | added | spin | Perhaps, since for $f \in H^n(H, M)$ we can define $\operatorname{cor}(f)(g_1, \ldots, g_n) = \sum_{x \in X} x f(x^{-1}g_1y_1, \ldots, x^{-1}g_ny_n)$ where $y_i \in X$ is such that $gy_iH = xH$. | |
| Oct 27, 2017 at 11:50 | comment | added | Chris Wuthrich | That is the same thing. You just shuffled the sum by swapping the names of $x$ and $y$. Maybe your expression is a nicer way to write it... | |
| Oct 26, 2017 at 19:27 | comment | added | spin | Thanks. But how about $\operatorname{cor}(f)(g) = \sum_{x \in X} x f(x^{-1} g y)$, where $y \in X$ is the unique rep. such that $gyH = xH$? That would also generalize to $H^n(H, M) \rightarrow H^n(G, M)$. | |
| Oct 26, 2017 at 13:48 | history | answered | Chris Wuthrich | CC BY-SA 3.0 |