### Triple monogenic functions and higher spin Dirac operators

Fred Brackx UGent, Tim Raeymaekers UGent and Liesbet Van de Voorde UGent (2011) 22(6). p.759-774
abstract
In the Clifford analysis context a specific type of solution for the higher spin Dirac operators Q(k,l) (k >= l is an element of N) is studied; these higher spin Dirac operators can be seen as generalizations of the classical Rarita-Schwinger operator. To that end subspaces of the space of triple monogenic polynomials are introduced and their algebraic structure is investigated. Also a dimensional analysis is carried out.
author
organization
year
type
journalArticle (original)
publication status
published
subject
keyword
Clifford analysis, Dirac operator, higher spin
journal title
INTERNATIONAL JOURNAL OF MATHEMATICS
Int. J. Math.
volume
22
issue
6
pages
759 - 774
Web of Science type
Article
Web of Science id
000291948500002
JCR category
MATHEMATICS
JCR impact factor
0.397 (2011)
JCR rank
216/288 (2011)
JCR quartile
4 (2011)
ISSN
0129-167X
DOI
10.1142/S0129167X11007021
language
English
UGent publication?
yes
classification
A1
I have transferred the copyright for this publication to the publisher
id
1938063
handle
http://hdl.handle.net/1854/LU-1938063
date created
2011-10-28 18:35:31
date last changed
2011-11-07 08:54:30
```@article{1938063,
abstract     = {In the Clifford analysis context a specific type of solution for the higher spin Dirac operators Q(k,l) (k {\textrangle}= l is an element of N) is studied; these higher spin Dirac operators can be seen as generalizations of the classical Rarita-Schwinger operator. To that end subspaces of the space of triple monogenic polynomials are introduced and their algebraic structure is investigated. Also a dimensional analysis is carried out.},
author       = {Brackx, Fred and Eelbode, David  and Raeymaekers, Tim and Van de Voorde, Liesbet},
issn         = {0129-167X},
journal      = {INTERNATIONAL JOURNAL OF MATHEMATICS},
keyword      = {Clifford analysis,Dirac operator,higher spin},
language     = {eng},
number       = {6},
pages        = {759--774},
title        = {Triple monogenic functions and higher spin Dirac operators},
url          = {http://dx.doi.org/10.1142/S0129167X11007021},
volume       = {22},
year         = {2011},
}

```
Chicago
Brackx, Fred, David Eelbode, Tim Raeymaekers, and Liesbet Van de Voorde. 2011. “Triple Monogenic Functions and Higher Spin Dirac Operators.” International Journal of Mathematics 22 (6): 759–774.
APA
Brackx, Fred, Eelbode, D., Raeymaekers, T., & Van de Voorde, L. (2011). Triple monogenic functions and higher spin Dirac operators. INTERNATIONAL JOURNAL OF MATHEMATICS, 22(6), 759–774.
Vancouver
1.
Brackx F, Eelbode D, Raeymaekers T, Van de Voorde L. Triple monogenic functions and higher spin Dirac operators. INTERNATIONAL JOURNAL OF MATHEMATICS. 2011;22(6):759–74.
MLA
Brackx, Fred, David Eelbode, Tim Raeymaekers, et al. “Triple Monogenic Functions and Higher Spin Dirac Operators.” INTERNATIONAL JOURNAL OF MATHEMATICS 22.6 (2011): 759–774. Print.