Publication
Title
Hermitian generalization of the Rarita-Schwinger operators
Author
Abstract
We introduce two new linear differential operators which are invariant with respect to the unitary group SU(n). They constitute analogues of the twistor and the Rarita-Schwinger operator in the orthogonal case. The natural setting for doing this is Hermitian Clifford Analysis. Such operators are constructed by twisting the two versions of the Hermitian Dirac operator partial derivative((z) under bar) and partial derivative(dagger)((z) under bar) and then projecting on irreducible modules for the unitary group. We then study some properties of their spaces of nullsolutions and we find a formulation of the Hermitian Rarita-Schwinger operators in terms of Hermitian monogenic polynomials.
Language
English
Source (journal)
Acta mathematica Sinica. English series. - Berlin
Publication
Berlin : 2010
ISSN
1439-8516
Volume/pages
26:2(2010), p. 311-330
ISI
000274398300009
Full text (Publishers DOI)
UAntwerpen
Faculty/Department
Research group
Publication type
Subject
Affiliation
Publications with a UAntwerp address
External links
Web of Science
Record
Identification
Creation 01.03.2012
Last edited 25.03.2017
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