Details:
Title  Differential operators on orbifolds  Author(s)  William N. Traves  Type  Article in Journal  Abstract  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.  Keywords  Differential operators, Gröbner bases, Molien series, Reynolds operator  ISSN  07477171 
URL 
http://www.sciencedirect.com/science/article/pii/S074771710600085X 
Language  English  Journal  Journal of Symbolic Computation  Volume  41  Number  12  Pages  1295  1308  Year  2006  Edition  0  Translation 
No  Refereed 
No 
