Factorization of Laplace Operators on Higher Spin Representations

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F12%3A10104822" target="_blank" >RIV/00216208:11320/12:10104822 - isvavai.cz</a>
Result on the web
<a href="http://www.springerlink.com/content/9531445m2256u675/" target="_blank" >http://www.springerlink.com/content/9531445m2256u675/</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1007/s11785-011-0215-5" target="_blank" >10.1007/s11785-011-0215-5</a>

Result language
angličtina
Original language name
Factorization of Laplace Operators on Higher Spin Representations
Original language description
This paper deals with the problem of factorizing integer powers of the Laplace operator acting on functions taking values in higher spin representations. This is a far-reaching generalization of the well-known fact that the square of the Dirac operator is equal to the Laplace operator. Using algebraic properties of projections of Stein-Weiss gradients, i.e. generalized Rarita-Schwinger and twistor operators, we give a sharp upper bound on the order of polyharmonicity for functions with values in a givenrepresentation with half-integral highest weight.
Czech name
—
Czech description
—

Type
J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)
CEP classification
BA - General mathematics
OECD FORD branch
—

Project
<a href="/en/project/GA201%2F08%2F0397" target="_blank" >GA201/08/0397: Algebraic methods in geometry and topology</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)<br>Z - Vyzkumny zamer (s odkazem do CEZ)

Publication year
2012
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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