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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)
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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.
Keywords
Dirac operators, Clifford analysis, Higher spin

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Citation

Please use this url to cite or link to this publication:

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.
@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},
}

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