Title 



Factorization of Laplace operators on higher spin representations


Author 





Abstract 



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 farreaching generalization of the wellknown fact that the square of the Dirac operator is equal to the Laplace operator. Using algebraic properties of projections of SteinWeiss gradients, i.e. generalized RaritaSchwinger and twistor operators, we give a sharp upper bound on the order of polyharmonicity for functions with values in a given representation with halfintegral highest weight.  

Language 



English


Source (journal) 



Complex analysis and operator theory 

Publication 



2012


ISSN 



16618254


Volume/pages 



6:5(2012), p. 10111023


ISI 



000310225000003


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