Differential operators on orbifolds

• Autores: William N. Traves
• Localización: Journal of symbolic computation, ISSN 0747-7171, Vol. 41, Nº 12, 2006, págs. 1295-1308
• Idioma: inglés
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• Resumen

  • An algorithm is presented that computes explicit generators for the ring of differential operators on an orbifold, the quotient of a complex vector space by a finite group action. The algorithm also describes the relations among these generators. The algorithm presented in this paper is based on Schwarz¿s study of a map carrying invariant operators to operators on the orbifold and on an algorithm to compute rings of invariants using Gröbner bases due to Derksen [Derksen, Harm, 1999. Computation of invariants for reductive groups. Adv. Math. 141 (2), 366¿384]. It is also possible to avoid using Derksen¿s algorithm, instead relying on the Reynolds operator and the Molien series.