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Discrete Mathematics & Theoretical Computer Science |
We present new combinatorial methods for solving algebraic problems such as computing the Hilbert series of a free $P$-algebra over one generator, or proving the freeness of a $P$-algebra. In particular, we apply these methods to the cases of dendriform algebras, quadrialgebras and tridendriform algebras, which leads us to prove a conjecture of Aguiar and Loday about the freeness of the quadrialgebra generated by the permutation 12.
Source : ScholeXplorer
IsRelatedTo ARXIV math/0105065 Source : ScholeXplorer IsRelatedTo DOI 10.1142/s0218196702001139 Source : ScholeXplorer IsRelatedTo DOI 10.48550/arxiv.math/0105065
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