Timeline for Which polynomials are Fricke polynomials ?
Current License: CC BY-SA 3.0
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| Jul 24, 2012 at 20:07 | history | edited | Bruce Westbury | CC BY-SA 3.0 |
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| Jul 24, 2012 at 19:59 | history | edited | Bruce Westbury | CC BY-SA 3.0 |
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| Jul 24, 2012 at 19:53 | history | edited | Bruce Westbury | CC BY-SA 3.0 |
Withdrew what I said previously in light of comment
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| Jul 24, 2012 at 18:58 | comment | added | Andreas Thom | Fricke showed (I think) that every polynomial function on $SL_2 \times SL_2$ which is conjugation invariant, is a polynomial in $X,Y$ and $Z$ as above. This applies to traces of words. The question which such polynomials are coming from words in the free group is more complicated. I do not think that this subset is structured in any obvious way. | |
| Jul 24, 2012 at 18:24 | history | answered | Bruce Westbury | CC BY-SA 3.0 |