Journal of the Ramanujan Mathematical Society

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On the Module of Derivations of Certain Rings of Invariants


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1 Department of Mathematics, IIT Guwahati, Guwahati, Assam, India
     

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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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  • On the Module of Derivations of Certain Rings of Invariants

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Authors

Arindam Dey
Department of Mathematics, IIT Guwahati, Guwahati, Assam, India
Vinay Wagh
Department of Mathematics, IIT Guwahati, Guwahati, Assam, India

Abstract


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).

References