摘要
本文给出斐波那契数列和广义斐波那契数列在代数表示论中的范畴化的几个例子.作为应用,利用斐波那契数列的指数增长性的方法证明外代数的斜群代数的有限生成模范畴modΛV*G的子范畴并不一定保持复杂度.
In this paper,several examples of categorifications of Fibonacci sequence and generalized Fibonacci sequence appeared in representation theory are presented.We also show by example that there exists a subcategory of mod AV*G which does not keep the complexity via the exponential of the formula of general term of Fibonacci sequence.
作者
罗德仁
周潘岳
LUO Dereu;ZHOU Panyue(College of Mathematics,Hunan Institute of Science and Technology,Yueyang,Hman,4^4006,P.R.China)
出处
《数学进展》
CSCD
北大核心
2019年第1期45-52,共8页
Advances in Mathematics(China)
基金
国家自然科学基金(Nos.11671126
11671221)
湖南省自然科学基金(Nos.2018JJ3204
2018JJ3205)
关键词
斐波那契数列
范畴化
复杂度
Fibonacci sequence
categorification
complexity