Geodesic
Acyclic complexes related to noncommutative symmetric functions
Journal of Algebraic Combinatorics, Tome 6 (1997) no. 2, pp. 103-117.

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Summary: In this paper, we show how to endow the algebra of noncommutative symmetric functions with a natural structure of cochain complex which strongly relies on the combinatorics of ribbons, and we prove that the corresponding complexes are acyclic.
Keywords: noncommutative symmetric functions, complexes, ribbons 
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     author = {Bergeron, F. and Krob, D.},
     title = {Acyclic complexes related to noncommutative symmetric functions},
     journal = {Journal of Algebraic Combinatorics},
     pages = {103--117},
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     volume = {6},
     number = {2},
     year = {1997},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/JAC_1997__6_2_a5/}
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Bergeron, F.; Krob, D. Acyclic complexes related to noncommutative symmetric functions. Journal of Algebraic Combinatorics, Tome 6 (1997) no. 2, pp. 103-117. http://geodesic.mathdoc.fr/item/JAC_1997__6_2_a5/