Generalized descent patterns in permutations and associated Hopf algebras

Details Generalized descent patterns in permutations and associated Hopf algebras Generalized descent patterns in permutations and associated Hopf algebras

2009-11-30

arxiv.org/abs/0911.5615v1

Mathematics

Combinatorics

8 pages

Scientific paper

Descents in permutations or words are defined from the relative position of
two consecutive letters. We investigate a statistic involving patterns of k
consecutive letters, and show that it leads to Hopf algebras generalizing
noncommutative symmetric functions and quasi-symmetric functions.

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