Higher symmetries of the Laplacian
Annals of mathematics, Tome 161 (2005) no. 3, pp. 1645-1665
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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.
@article{10_4007_annals_2005_161_1645,
author = {Michael Eastwood},
title = {Higher symmetries of the {Laplacian}},
journal = {Annals of mathematics},
pages = {1645--1665},
publisher = {mathdoc},
volume = {161},
number = {3},
year = {2005},
doi = {10.4007/annals.2005.161.1645},
mrnumber = {2180410},
zbl = {1091.53020},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.4007/annals.2005.161.1645/}
}
TY - JOUR AU - Michael Eastwood TI - Higher symmetries of the Laplacian JO - Annals of mathematics PY - 2005 SP - 1645 EP - 1665 VL - 161 IS - 3 PB - mathdoc UR - http://geodesic.mathdoc.fr/articles/10.4007/annals.2005.161.1645/ DO - 10.4007/annals.2005.161.1645 LA - en ID - 10_4007_annals_2005_161_1645 ER -
Michael Eastwood. Higher symmetries of the Laplacian. Annals of mathematics, Tome 161 (2005) no. 3, pp. 1645-1665. doi: 10.4007/annals.2005.161.1645
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