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Differential Operators on the free algebras (1103.1332v1)

Published 7 Mar 2011 in math.RA and math.RT

Abstract: Following the definitions of the algebras of differential operators, $\beta$-differential operators, and the quantum differential operators on a noncommutative (graded) algebra given in \cite{LR}, we describe these operators on the free associative algebra. We further study their properties.

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