Title
Decomposition of the polynomial kernel of arbitrary higher spin Dirac operators Decomposition of the polynomial kernel of arbitrary higher spin Dirac operators
Author
Faculty/Department
Faculty of Sciences. Mathematics and Computer Science
Publication type
article
Publication
New York, N.Y. ,
Subject
Physics
Source (journal)
Journal of mathematical physics. - New York, N.Y.
Volume/pages
56(2015) :10 , 11 p.
ISSN
0022-2488
0022-2488
Article Reference
101701
Carrier
E-only publicatie
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 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 how the polynomial kernel spaces of such operators decompose in irreducible representations of the spin group. We will hereby make use of results from representation theory. (C) 2015 AIP Publishing LLC.
E-info
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Full text (open access)
https://repository.uantwerpen.be/docman/irua/682df3/129518.pdf
Handle