The homological ideals associated with some Nakayama algebras are characterized and enumerated via integer specializations of some suitable Brauer configuration algebras. In addition, it is shown how the number of these homological ideals can be connected with the process of categorification of Fibonacci numbers defined by Ringel and Fahr.
机构:
Tokyo Univ Sci, Grad Sch Sci, Dept Math, 1-3 Kagurazaka,Shinjuku Ku, Tokyo 1628601, Japan
Tokyo Metropolitan Coll Ind Technol, Dept Gen Educ, 8-17-1 Minamisenju,Arakawa Ku, Tokyo 1168523, JapanTokyo Univ Sci, Grad Sch Sci, Dept Math, 1-3 Kagurazaka,Shinjuku Ku, Tokyo 1628601, Japan