Research

Preprints

• Pseudo grading on cluster automorphism group with application to cluster algebras of rank 3.
  Changjian FU, Zhanhong LIANG
  
  arXiv:2503.22101
  
  
• A correspondence between additive and monoidal categorifications with application to Grassmannian cluster categories.
  Karin BAUR, Changjian FU, Jianrong LI
  
  arXiv:2401.04401
  
  
• On denominator conjecture for cluster algebras of finite type.
  Changjian FU, Shengfei GENG
  
  arXiv:2409.10914
  
  
• Denominator conjecture for some surface cluster algebras.
  Changjian FU, Shengfei GENG
  
  arXiv:2407.11826
  
  
• τ-tilting graphs and quotients.
  Changjian FU, Shengfei GENG, Pin LIU
  
  arXiv:2401.05158
  
  
• Intersection vectors over tilings with applications to gentle algebras and cluster algebras.
  Changjian FU, Shengfei GENG
  
  arXiv:2212.11497
  
  

Publications

• "On F-polynomials for generalized quantum cluster algebras and Gupta's formula"
  Changjian FU, Liangang PENG, Huihui YE
  Symmetry, Integrability and Geometry: Methods and Applications (2024) 20,080, 26 pages.
  DOI
  
  
• "Compatibility degree of cluster complexes"
  Changjian FU and Yasuaki Gyoda
  Annales de L'institut Fourier (2024) 74, no.2, 663-718.
  DOI
  
  
• "On homological properties of the category of F_1-representations over a linear quiver of type A_n"
  Changjian FU, Longjun RAN, Liang YANG
  Journal of Algebra (2024) 646, 1-16.
  DOI
  
  There is a typo in the definition of Euler form in the publication version, see arXiv version.
  
• "On maximal green sequence for quivers arising from weighted projective lines"
  Changjian FU, Shengfei GENG
  Algebr. Represent. Theory (2023) 26, 1713-1729.
  DOI
  
  
• "Exchange graphs of cluster algebras have the non-leaving-face property"
  Changjian FU, Shengfei GENG, Pin LIU
  Bulletin London Math. Soc. (2023), 55, 2062-2069.
  DOI
  
  
• "On support τ-tilting graphs of gentle algebras"
  Changjian FU, Shengfei GENG, Pin LIU, Yu ZHOU
  Journal of Algebra (2023), 628, 189-211.
  DOI
  
  
• "Quantized cohomological Hall algebra of the d-loop quiver revisited"
  Neil J. Y. FAN, Changjian FU, Liangang PENG
  Forty years of algebraic groups, algebraic geometry, and representation theory in China—in memory of the centenary year of Xihua Cao's birth, 39–54, East China Norm. Univ. Sci. Rep., 16, World Sci. Publ., Singapore, 2023.
  DOI
  
  
• "Quantum cluster characters of Hall algebras revisited"
  Changjian FU, Liangang PENG, Haicheng ZHANG
  Selecta Math. (2023) 29:4.
  DOI
  
  
• "A reduction approach to silting objects for derived categories of hereditary categories"
  Wei DAI, Changjian FU
  Colloq. Math. 170 (2022), no. 2, 239-252.
  DOI
  
  
• "丛代数中的整数向量"
  付昌建, 耿圣飞, 刘品
  数学理论与应用 42卷 第1期 (2022), 1-15.
  DOI
  
  
• "On cluster-tilting graphs for hereditary categories"
  Changjian FU, Shengfei GENG
  Adv. Math. 383 (2021), Paper No. 107670, 26 pp.
  DOI
  
  
• "Cluster algebras arising from cluster tubes I: integer vectors"
  Changjian FU, Shengfei GENG, Pin LIU
  Math. Zeit. 297 (2021), no. 3-4, 1793–1824.
  DOI
  
  
• "On cluster categories of weighted projective lines with at most three weights"
  Changjian FU, Shengfei GENG
  J. Algebra 573 (2021), 16–37.
  DOI
  
  
• "Cluster algebras arising from cluster tubes II: The Caldero-Chapoton map"
  Changjian FU,Shengfei GENG, Pin LIU
  J. Algebra 544 (2020), 228-261.
  DOI
  
  
• "Tilting modules and support τ-tilting modules over preprojective algebras associated with symmetrizable Cartan matrices"
  Changjian FU, Shengfei GENG
  Algebr. Represent. Theory 22 (2019), no. 5, 1239–1260.
  DOI
  
  
• "On indecomposable τ-rigid modules for cluster-tilted algebras of tame type"
  Changjian FU, Shengfei GENG
  J. Algebra 531 (2019), 249–282.
  DOI
  
  
• "Relative rigid objects in triangulated categories"
  Changjian FU, Shengfei GENG and Pin LIU
  . J. Algebra 520 (2019), 171–185.
  DOI
  
  
• "Feigin's map revisited"
  Changjian FU
  J. Pure Appl. Algebra 222 (2018), no. 12, 4199–4222.
  DOI
  
  
• "Hall代数上的Poisson代数结构"
  付昌建 彭联刚
  中国科学：数学 48卷, 第11期 (2018),1673-1680.
  DOI
  
  
• "量子二重对数与循环箭图"
  付昌建 彭联刚
  中国科学：数学 47卷， 第11期 (2017), 1557-1564.
  DOI
  
  
• "c-vectors via τ-tilting theory"
  Changjian FU
  J. Algebra 473 (2017), 194–220.
  DOI
  
  
• "On Borcherds type Lie algebras"
  Changjian FU, Liangang PENG
  Math. Zeit. 278 (2014), no. 3-4, 705–742.
  DOI
  
  
• "Hall polynomials for representation-finite repetitive cluster-tilted algebras"
  Changjian FU
  Algebr. Represent. Theory 17 (2014), no. 4, 1137–1143.
  DOI
  
  
• "On root categories of finite-dimensional algebras"
  Changjian FU
  J. Algebra 370 (2012), 233–265.
  DOI
  
  
• "The Ringel-Hall Lie algebra of a spherical object"
  Changjian FU, Dong YANG
  J. Lond. Math. Soc. (2) 85 (2012), no. 2, 511–533.
  DOI
  
  
• "On cluster algebras with coefficients and 2-Calabi-Yau categories"
  Changjian FU, Bernhard KELLER
  Trans. Amer. Math. Soc. 362 (2010), no. 2, 859–895.
  DOI
  
  
• "Lifting to cluster-tilting objects in 2-Calabi-Yau triangulated categories"
  Changjian FU, Pin LIU
  Comm. Algebra 37 (2009), no. 7, 2410–2418.
  DOI
  
  
• "负分次微分分次范畴的导出范畴上的 t-结构"
  付昌建
  四川大学学报（自然科学版） 46 (2009), no. 1, 39–43.