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Differential operators on the free algebras
Authors:Uma N Iyer  Timothy C McCune
Institution:1. Department of Mathematics and Computer Science, Bronx Community College, 2155 University Avenue, Bronx, New York, 10453, USA
Abstract:Following the definitions of the algebras of differential operators, ??-differential operators, and the quantum differential operators on a noncommutative (graded) algebra given in Lunts and Rosenberg (Selecta Math New Ser 3:335?C359, 1997), we describe these algebras on the free associative algebra. We further study their properties.
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