Timeline for Involution on the components of a group algebra
Current License: CC BY-SA 3.0
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Feb 25, 2015 at 12:44 | comment | added | Captain Lama | Thanks, I can't believe I didn't think to check the Sharlau... Anyway, judging from the Lewis paper, very few is known for arbitrary fields (even though apparently the condition I gave for $G$ is the right one to ensure that there will be involutions of the first kind on each component), even in the case of the symmetric group. In case anyone stumbles upon this post, just note that I computed the quadratic form corresponding to the standard representation of $S_n$ over $\mathbb{Q}$ : it has matrix $Id+U$ where $U$ has $1$ everywhere. | |
Feb 25, 2015 at 12:20 | vote | accept | Captain Lama | ||
Feb 25, 2015 at 8:22 | history | answered | Name | CC BY-SA 3.0 |