Timeline for Some puzzles about the three conditions in a paper of D.Berend
Current License: CC BY-SA 3.0
6 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Dec 17, 2013 at 18:21 | comment | added | j.c. | It would be nice to have the conditions in the question itself, so as to make it self contained. | |
| Oct 12, 2013 at 19:24 | answer | added | Asaf | timeline score: 1 | |
| Oct 10, 2013 at 12:42 | history | edited | Stefan Kohl♦ | CC BY-SA 3.0 |
Corrected spelling of the title.
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| Oct 9, 2013 at 16:03 | comment | added | Ian Morris | Do you want $A,B$ to be in $GL(d,Z)$? If they are only in $GL(d,R)$ then they do not necessarily induce an action on the torus. If two non-degenerate matrices commute then they must have the same invariant subspaces, but the converse is not true in general (consider two three-dimensional upper-triangular matrices). To obtain $h(AB)=h(A)+h(B)$ for $A,B \in GL(2,Z)$ we are asking that the spectral radii of $A$ and $B$ should multiply, which under mild conditions implies that they are simultaneously diagonalisable. | |
| Oct 9, 2013 at 10:22 | review | First posts | |||
| Oct 9, 2013 at 10:28 | |||||
| Oct 9, 2013 at 10:06 | history | asked | Wordsworth | CC BY-SA 3.0 |