Title
Polynomial solutions For arbitrary higher spin dirac operators Polynomial solutions For arbitrary higher spin dirac operators
Author
Faculty/Department
Faculty of Sciences. Mathematics and Computer Science
Publication type
article
Publication
,
Subject
Mathematics
Source (journal)
Experimental mathematics. - Place of publication unknown
Volume/pages
24(2015) :3 , p. 339-354
ISSN
1058-6458
ISI
000356873900008
Carrier
E
Target language
English (eng)
Full text (Publishers DOI)
Affiliation
University of Antwerp
Abstract
In a series of recent papers, we have introduced higher spin Dirac operators, which are far-reaching generalisations of the classical Dirac operator. Whereas the latter acts on spinor-valued functions, the former acts on functions taking values in arbitrary irreducible half-integer highest weight representations for the spin group. In this paper, we describe a general procedure to decompose the polynomial kernel spaces for these operators in irreducible summands for the regular action of the spin group. We will do this in an inductive way, making use of twisted higher spin operators.
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Full text (open access)
https://repository.uantwerpen.be/docman/irua/babc40/127056_2016_01_01.pdf
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