Re: Set of solutions of a matrix equation over SL(2,C).

[A complimentary Cc of this posting was sent to

<markzorromz@xxxxxxxxx>], who wrote in article <a6f914a1-7552-42b3-b3cf-b107bfe4d08c@xxxxxxxxxxxxxxxxxxxxxxxxxxx>:

....

This leads to an irreducible 3 dimensional solution space for (**).
....
This leads to a 3 dimensional irreducible solution space for (**).

My question is:

Does this implies that the space of solutions to (**) is a reducible
algebraic variety with two maximal irreducible components of dimension
3?

So, you have proven (twice!) that the set of solutions is
irreducible. How would you deduce from this that it is reducible? ;-)

Hope this helps,
Ilya

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