Positivity in Coefficient-Free Rank Two Cluster Algebras
نویسندگان
چکیده
منابع مشابه
Positivity in Coefficient-Free Rank Two Cluster Algebras
Let b, c be positive integers, x1, x2 be indeterminates over Z and xm,m ∈ Z be rational functions defined by xm−1xm+1 = x b m+1 if m is odd and xm−1xm+1 = x c m+1 if m is even. In this short note, we prove that for any m,k ∈ Z, xk can be expressed as a substraction-free Laurent polynomial in Z[x±1 m , x ±1 m+1]. This proves FominZelevinsky’s positivity conjecture for coefficient-free rank two c...
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ژورنال
عنوان ژورنال: The Electronic Journal of Combinatorics
سال: 2009
ISSN: 1077-8926
DOI: 10.37236/187