Ghent University Academic Bibliography

Advanced

Polynomial Invariants for the Rarita-Schwinger Operator

David Eelbode UGent and Dalibor Smid (2009) Trends in Mathematics. p.125-135
abstract
We show that polynomial invariant operators on functions with values in the Spin(n)-representation with highest weight (3/2, 1/2, ..., 1/2) are spanned by powers of the symbols of the Laplace and Rarita-Schwinger operators. This result generalizes the well-known description of polynomial invariants on the scalar and spinor-valued functions. We describe the operators in the language of Clifford analysis.
Please use this url to cite or link to this publication:
author
organization
year
type
conference
publication status
published
subject
in
Trends in Mathematics
editor
Irene Sabadini, Michael Shapiro and Franciscus Sommen UGent
issue title
Hypercomplex Analysis
pages
11 pages
publisher
Birkhaeuser Verlag
place of publication
Basel-Boston-Berlin
conference name
6th Congress of the International Society for Analysis its Applications and Computation
conference location
Ankara
conference start
2007-08-13
conference end
2007-08-18
Web of Science type
Proceedings Paper
Web of Science id
000264751300008
ISBN
978-3-7643-9892-7
language
English
UGent publication?
yes
classification
P1
id
681660
handle
http://hdl.handle.net/1854/LU-681660
date created
2009-06-07 09:13:23
date last changed
2009-06-30 15:59:21
@inproceedings{681660,
  abstract     = {We show that polynomial invariant operators on functions with values in the Spin(n)-representation with highest weight (3/2, 1/2, ..., 1/2) are spanned by powers of the symbols of the Laplace and Rarita-Schwinger operators. This result generalizes the well-known description of polynomial invariants on the scalar and spinor-valued functions. We describe the operators in the language of Clifford analysis.},
  author       = {Eelbode, David and Smid, Dalibor},
  booktitle    = {Trends in Mathematics},
  editor       = {Sabadini, Irene and Shapiro, Michael and Sommen, Franciscus},
  isbn         = {978-3-7643-9892-7},
  language     = {eng},
  location     = {Ankara},
  pages        = {125--135},
  publisher    = {Birkhaeuser Verlag},
  title        = {Polynomial Invariants for the Rarita-Schwinger Operator},
  year         = {2009},
}

Chicago
Eelbode, David, and Dalibor Smid. 2009. “Polynomial Invariants for the Rarita-Schwinger Operator.” In Trends in Mathematics, ed. Irene Sabadini, Michael Shapiro, and Franciscus Sommen, 125–135. Basel-Boston-Berlin: Birkhaeuser Verlag.
APA
Eelbode, D., & Smid, D. (2009). Polynomial Invariants for the Rarita-Schwinger Operator. In I. Sabadini, M. Shapiro, & F. Sommen (Eds.), Trends in Mathematics (pp. 125–135). Presented at the 6th Congress of the International Society for Analysis its Applications and Computation, Basel-Boston-Berlin: Birkhaeuser Verlag.
Vancouver
1.
Eelbode D, Smid D. Polynomial Invariants for the Rarita-Schwinger Operator. In: Sabadini I, Shapiro M, Sommen F, editors. Trends in Mathematics. Basel-Boston-Berlin: Birkhaeuser Verlag; 2009. p. 125–35.
MLA
Eelbode, David, and Dalibor Smid. “Polynomial Invariants for the Rarita-Schwinger Operator.” Trends in Mathematics. Ed. Irene Sabadini, Michael Shapiro, & Franciscus Sommen. Basel-Boston-Berlin: Birkhaeuser Verlag, 2009. 125–135. Print.