2019/08/24 by Grinberg, Darij
#05A19 #05A40 #15A24 #Combinatorics (math.CO) #FOS: Mathematics #Rings and Algebras (math.RA)
paper · doi:10.48550/arxiv.1908.09179
Given two elements a and b of a noncommutative ring, we express ( ba)n as a "row vector times matrix times column vector" product, where the matrix is the n-th power of a matrix with entries \dbinomijadai-j( b). This generalizes a formula by Tom Copeland used in the study of Pascal-style matrices.