Rota-Baxter algebras and new combinatorial identities
classification
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hep-thmath.RA
keywords
combinatorialidentitiesrota-baxteralgebraalgebrasarbitraryaspectsassociative
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The word problem for an arbitrary associative Rota-Baxter algebra is solved. This leads to a noncommutative generalization of the classical Spitzer identities. Links to other combinatorial aspects, particularly of interest in physics, are indicated.
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