Hi, can Sage factorize non-commutative Laurent polynomials in several variables?
By those polynomials I mean elements in the group algebra Z[F(n)], where Z is the integers and F(n) is the free group on n letters.
(The case with Z/2- instead of Z-coefficients would also be interesting.)
Thank you!
Sage does not have algorithms to do such a factorization. The notion of unique factorization for noncommutative rings needs a bit more thought than in the commutative case. Work by P.M. Cohn showed that free associative algebra is a (noncommutative) UFD, but I don't know of any algorithm implementing this.
Asked: 13 years ago
Seen: 612 times
Last updated: Oct 26 '11
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