# Qingyun

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## Registered User

 Name Qingyun Member for 2 years Seen May 1 at 4:44 Website Location Washington University in St Louis Age 27
 Feb2 comment system of homogeneous matrix equationsI do not know the background of this equation, the person who asked me this problem is working in algebraic geometry which I know nothing about. You answer is very helpful, are these the only solutions? Feb2 comment system of homogeneous matrix equationsI see, as a corollary of your conclusion, there is no solution if $n$ is not dividing the size of matrices, and $xA+yB$ will have distinct eigenvalues if $n$ equal to the size of matrices, are I right? Feb1 awarded ● Commentator Feb1 comment system of homogeneous matrix equationsSorry for not making the question clear, I am looking for matrices $A,B$ such that the identity holds for all $x,y$. I guess my terminology is incorrect. Feb1 revised system of homogeneous matrix equationsadded 157 characters in body Feb1 awarded ● Nice Question Feb1 asked system of homogeneous matrix equations Jan31 comment Interesting examples of minimal action on torus@ Alain Valette @ Michele Triestino Thanks! Jan31 revised Interesting examples of minimal action on torusadded 104 characters in body Jan31 comment Interesting examples of minimal action on torus@Lee Mosher Yes you are right, thanks for pointing this out. The correct statement should be that the functions $f_i$ are in suitable homotopy classes other than the one containing constant functions. The details are in Theorem 2.1 of Furstenberg's paper STRICT ERGODICTICY AND TRANSFORMATION OF THE TORUS and the remark after it. Jan29 revised Interesting examples of minimal action on torusadded 511 characters in body Jan29 revised Interesting examples of minimal action on torusadded 104 characters in body; added 20 characters in body; added 12 characters in body Jan29 asked Interesting examples of minimal action on torus