Timeline for Cluster algebra structure on the coordinate ring of $Mat_3$

9 events

when toggle format	what		by	license	comment
Jul 25, 2016 at 16:50	history	edited	Jianrong Li	CC BY-SA 3.0	deleted 3 characters in body
Jul 25, 2016 at 16:44	history	edited	Jianrong Li	CC BY-SA 3.0	deleted 3 characters in body
Jul 25, 2016 at 15:56	vote	accept	Jianrong Li
Jul 25, 2016 at 15:49	answer	added	John Machacek		timeline score: 4
Jul 25, 2016 at 13:30	comment	added	Jianrong Li		@ThiKu, thank you very much. I edited the post. This is an example in the beginning of a talk by M. Shapiro.
Jul 25, 2016 at 13:29	history	edited	Jianrong Li	CC BY-SA 3.0	added 134 characters in body
Jul 25, 2016 at 13:11	comment	added	ThiKu		For the first question: $x_{11}$ shows up in $\Delta_{123}^{123}$ in a summand of the form $x_{11}\Delta_{23}^{23}$ and this is the only way to get hold on it. There is also no problem in getting the third summand of $\Delta_{123}^{123}$, because it is $x_{31}\Delta_{12}^{23}$ and you know $x_{31}=\Delta^3_1$. But it's not clear to me how to get the second summand $x_{21}\Delta_{13}^{23}$. One half of it is computable from $\Delta_{23}^{12}\Delta_1^3$ but I don't see how to get the other half.
Jul 25, 2016 at 13:02	comment	added	ThiKu		Could you add some motivation? Is this mutation used in some paper? And what does one get from explicitly computing?
Jul 25, 2016 at 10:19	history	asked	Jianrong Li	CC BY-SA 3.0