Quantum Differential Operators on K[x]
نویسنده
چکیده
Following the definition of quantum differential operators given in [LR1], we show that the ring of quantum differential operators on the affine line is the ring generated by x and ∂, the familiar differential operators on the line, along with two additional operators which we call ∂ 1 and ∂ −1 . We describe this ring both as a subring of the ring of graded endomorphisms and as a ring given by generators and relations. From this starting point, we are able to describe the ring of quantum differential operators on affine n space and to construct the ring of global quantum differential operators on P.
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