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Higher spin Dirac operators between spaces of simplicial monogenics in two vector variables

Fred Brackx UGent, David Eelbode UGent and Liesbet Van de Voorde UGent (2011) MATHEMATICAL PHYSICS ANALYSIS AND GEOMETRY. 14(1). p.1-20
abstract
The higher spin Dirac operator Q_{k,l} acting on functions taking values in an irreducible representation space for Spin(m) with highest weight (k+1/2,l+1/2,1/2,...,1/2), with k, l in N and k>= l, is constructed. The structure of the kernel space containing homogeneous polynomial solutions is then also studied.
Please use this url to cite or link to this publication:
author
organization
year
type
journalArticle (original)
publication status
published
subject
keyword
Dirac operators, Clifford analysis, Higher spin
journal title
MATHEMATICAL PHYSICS ANALYSIS AND GEOMETRY
Math. Phys. Anal. Geom.
volume
14
issue
1
pages
1 - 20
Web of Science type
Article
Web of Science id
000287148300001
JCR category
MATHEMATICS, APPLIED
JCR impact factor
0.806 (2011)
JCR rank
102/245 (2011)
JCR quartile
2 (2011)
ISSN
1385-0172
DOI
10.1007/s11040-010-9085-8
language
English
UGent publication?
yes
classification
A1
copyright statement
I have transferred the copyright for this publication to the publisher
id
1146213
handle
http://hdl.handle.net/1854/LU-1146213
date created
2011-02-11 07:25:02
date last changed
2012-02-27 13:03:48
@article{1146213,
  abstract     = {The higher spin Dirac operator Q\_\{k,l\} acting on functions taking values in an irreducible representation space for Spin(m) with highest weight (k+1/2,l+1/2,1/2,...,1/2), with k, l in N and k{\textrangle}= l, is constructed. The structure of the kernel space containing homogeneous polynomial solutions is then also studied.},
  author       = {Brackx, Fred and Eelbode, David and Van de Voorde, Liesbet},
  issn         = {1385-0172},
  journal      = {MATHEMATICAL PHYSICS ANALYSIS AND GEOMETRY},
  keyword      = {Dirac operators,Clifford analysis,Higher spin},
  language     = {eng},
  number       = {1},
  pages        = {1--20},
  title        = {Higher spin Dirac operators between spaces of simplicial monogenics in two vector variables},
  url          = {http://dx.doi.org/10.1007/s11040-010-9085-8},
  volume       = {14},
  year         = {2011},
}

Chicago
Brackx, Fred, David Eelbode, and Liesbet Van de Voorde. 2011. “Higher Spin Dirac Operators Between Spaces of Simplicial Monogenics in Two Vector Variables.” Mathematical Physics Analysis and Geometry 14 (1): 1–20.
APA
Brackx, Fred, Eelbode, D., & Van de Voorde, L. (2011). Higher spin Dirac operators between spaces of simplicial monogenics in two vector variables. MATHEMATICAL PHYSICS ANALYSIS AND GEOMETRY, 14(1), 1–20.
Vancouver
1.
Brackx F, Eelbode D, Van de Voorde L. Higher spin Dirac operators between spaces of simplicial monogenics in two vector variables. MATHEMATICAL PHYSICS ANALYSIS AND GEOMETRY. 2011;14(1):1–20.
MLA
Brackx, Fred, David Eelbode, and Liesbet Van de Voorde. “Higher Spin Dirac Operators Between Spaces of Simplicial Monogenics in Two Vector Variables.” MATHEMATICAL PHYSICS ANALYSIS AND GEOMETRY 14.1 (2011): 1–20. Print.