an:06186525
Zbl 1267.16012
Usnich, A. V.
Noncommutative cluster mutations
RU
Dokl. Nats. Akad. Nauk Belarusi 53, No. 4, 27-29 (2009).
00321695
2009
j
16G20 13F60 05E18 16S38 37F10
cluster mutations; noncommutative Laurent polynomials; iterations of rational maps
Summary: Non-commutative cluster mutations are defined and studied. For a particular mutation matrix it is proved that the iteration of cluster mutation is assigned by non-commutative Laurent polynomials, and this gives an independent proof of the Laurent phenomenon in the commutative case.