Higher symmetries of the Laplacian

• 成果类型: Article
• 署名作者: Eastwood, M
• 刊物名称: ANNALS OF MATHEMATICS
• ISSN/ISSBN: 0003-486X
• DOI: 10.4007/annals.2005.161.1645
• 发表日期: 2005
• 页码: 1645-1665
• 关键词: operators; EQUATIONS; SEPARATION; QUANTIZATION; INVARIANTS; variables; calculus; FIELDS

摘要

We identify the symmetry algebra of the Laplacian on Euclidean space as an explicit quotient of the universal enveloping algebra of the Lie algebra of conformal motions. We construct analogues of these symmetries on a general conformal manifold.