2024/01/12 by Yuming Liu, Liu, Yuming, Bohan Xing +1
Mathematics · #16E45 #18G15 #Algebraic structures and combinatorial models #Commutative Algebra and Its Applications #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology #Representation Theory (math.RT)
paper · pdf · doi:10.48550/arxiv.2401.06429
openalex publication_date 2024/01/12 · openalex created_date 2024/01/16 · openalex updated_date 2026/07/28
In this paper, we summarize a general method of transforming DG structures into higher structures on the various complexes related to the reduced bar resolution of a given quiver algebra using algebraic Morse theory. As an application, we describe the A_∞-structures of toupie algebras. Additionally, for certain special toupie algebras, we also prove that their double homological duals are isomorphic to their associated graded algebras.