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TitleDifferential operators on orbifolds
Author(s) William N. Traves
TypeArticle in Journal
AbstractAn 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.
KeywordsDifferential operators, Gröbner bases, Molien series, Reynolds operator
ISSN0747-7171
URL http://www.sciencedirect.com/science/article/pii/S074771710600085X
LanguageEnglish
JournalJournal of Symbolic Computation
Volume41
Number12
Pages1295 - 1308
Year2006
Edition0
Translation No
Refereed No
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