Abstract
This paper presents a combinatorial study of the hypoplactic monoid that is the analog of the plactic monoid in the theory of noncommutative symmetric functions. After having recalled its definition using rewritings, we provide a new definition and use this one to combinatorially prove that each hypoplactic class contains exactly one quasi-ribbon word. We then prove hypoplactic analogues of classical results of the plactic monoid and, in particular, we make the study of the analogues of Schur functions.
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