A Proof of Solomon's Rule

Details A Proof of Solomon's Rule A Proof of Solomon's Rule

2007-06-19

arxiv.org/abs/0706.2714v1

J. of Algebra 206:693-698 (1998)

Mathematics

Combinatorics

6 pages

Scientific paper

We put forward a proof of Solomon's rule, in terms of matrices, for
multiplication in the descent algebra of the symmetric group. Our proof
exploits the graphs that we can obtain from all the subsets of the set of
transpositions, $\{(i,i+1)\}_{i=1}^{n-1}$.

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