Timeline for A problem with pointwise stabilizer subgroups of fixed-point subspaces II

10 events

when toggle format	what		by	license	comment
Apr 1, 2015 at 14:50	history	edited	Sebastien Palcoux	CC BY-SA 3.0	remove wrong check
Apr 1, 2015 at 13:17	history	edited	Sebastien Palcoux	CC BY-SA 3.0	the program for checking was incorrect, now it's much more long in time, i've improved the check data
Apr 1, 2015 at 4:14	history	edited	Sebastien Palcoux	CC BY-SA 3.0	proof "could" be generalized assuming U^H, V^H non-zero.
Mar 31, 2015 at 15:25	history	edited	Sebastien Palcoux	CC BY-SA 3.0	improvment of the last remark
Mar 31, 2015 at 9:59	history	edited	Sebastien Palcoux	CC BY-SA 3.0	remark on the general case.
Mar 29, 2015 at 6:50	comment	added	Sebastien Palcoux		@MartyIsaacs: You're right, for $u,v≠0$, $g(u⊗v)=u⊗v$ iff $gu=αu$ and $gv=βv$ with $αβ=1$. Now, we can replace this equality by an inclusion and the argument still works. I've edited that, thank you!
Mar 29, 2015 at 3:17	history	edited	Sebastien Palcoux	CC BY-SA 3.0	the first equality was replaced by an inclusion.
Mar 28, 2015 at 17:35	comment	added	Marty Isaacs		It seems that the first equality in the lemma of Palcoux is not true in general. The kernel of the tensor product of two modules is not necessarily the intersection of the kernels. For example, look at G the Klein four's group. The tensor product of two distinct nontrivial irreducible representations is the third one, and its kernel is nontrivial.
Mar 28, 2015 at 5:47	history	edited	Sebastien Palcoux	CC BY-SA 3.0	notation
Mar 28, 2015 at 5:23	history	answered	Sebastien Palcoux	CC BY-SA 3.0