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Journal of the Ramanujan Mathematical Society

Volume 33, Issue 2, June 2018  pp. 149–158.

On the module of derivations of certain rings of invariants

Authors:  Arindam Dey and Vinay Wagh
Author institution:Department of Mathematics, IIT Guwahati, Guwahati, Assam, India

Summary:  Let k be an algebraically closed field of characteristic~0. Let G be a finite cyclic subgroup of GLm(k) having no non-trivial pseudo-reflections. Let R be the ring of invariants obtained by the linear action of G on k [X1 ,..., Xm]. We give an algorithm to find a generating set for Der R. We also give an upper bound for μ (Der R).

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