On conformally invariant differential operators in odd dimensions
نویسندگان
چکیده
منابع مشابه
Conformally invariant differential operators on tensor densities
Let Fλ be the space of tensor densities on R n of degree λ (or, equivalently, of conformal densities of degree −λn) considered as a module over the Lie algebra o(p+1, q+1). We classify o(p+1, q+1)-invariant bilinear differential operators from Fλ ⊗ Fμ to Fν . The classification of linear o(p + 1, q + 1)invariant differential operators from Fλ to Fμ already known in the literature (see [6, 9]) i...
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We construct new families of conformally invariant differential operators acting on densities. We introduce a simple, direct approach which shows that all such operators arise via this construction when the degree is bounded by the dimension. The method relies only on a study of wellknown transformation laws and on the formalism of Weyl about identities holding “formally” vs. “by substitution”....
متن کامل2 9 M ar 2 00 7 On conformally invariant differential operators
We construct new families of conformally invariant differential operators acting on densities. We introduce a simple, direct approach which shows that all such operators arise via this construction when the degree is bounded by the dimension. The method relies on a study of well-known transformation laws and on Weyl’s theory regarding identities holding “formally” vs. “by substitution”. We also...
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ژورنال
عنوان ژورنال: Proceedings of the National Academy of Sciences
سال: 2003
ISSN: 0027-8424,1091-6490
DOI: 10.1073/pnas.0430972100