A Z-Basis for the Cluster Algebra of Type (D)over-tilde(4)

作者：Ding Ming^*; Xu Fan

来源：Algebra Colloquium, 2012, 19(4): 591-610.

• Z-basis
• cluster algebra
• cluster category
• (D)over-tilde(4)

We deduce a Z-basis for the cluster algebra of type (D) over tilde (4). It extends the results obtained by Caldero and Keller, as well as Sherman and Zelevinsky. Moreover, we prove that coefficients of Laurent expansions in the generalized cluster variables for (D) over tilde (4) are positive integers.

• 出版日期2012-10
• 单位清华大学