JP Journal of Algebra, Number Theory and Applications
Volume 30, Issue 2, Pages 191 - 215
(September 2013)
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SCHÜTZENBERGER’S FACTORIZATION ON THE (COMPLETED) HOPF ALGEBRA OF q-STUFFLE PRODUCT
C. Bui, G. H. E. Duchamp and V. Hoang Ngoc Minh
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Abstract: In order to extend the Schützenberger’s factorization, the combinatorial Hopf algebra of the q-stuffles product is developed systematically in a parallel way with that of the shuffle product and in emphasizing the Lie elements as studied by Ree. In particular, we will give here an effective construction of pair of bases in duality. |
Keywords and phrases: shuffle, Lyndon words, Lie elements, transcendence bases. |
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