Geodesic
Structure of the kernel of higher spin Dirac operators
Commentationes Mathematicae Universitatis Carolinae, Tome 42 (2001) no. 4, pp. 665-680.

Voir la notice de l'article provenant de la source Czech Digital Mathematics Library

Polynomials on $\Bbb R^n$ with values in an irreducible $\operatorname{Spin}_n$-module form a natural representation space for the group $\operatorname{Spin}_n$. These representations are completely reducible. In the paper, we give a complete description of their decompositions into irreducible components for polynomials with values in a certain range of irreducible modules. The results are used to describe the structure of kernels of conformally invariant elliptic first order systems acting on maps on $\Bbb R^n$ with values in these modules.
Classification : 32A50, 43A65, 53A30, 53A55, 53C27
Keywords: conformally invariant differential operators; generalized (higher-spin) Dirac operators; representations of spin-groups; Littlewood-Richardson rule 
@article{CMUC_2001__42_4_a7,
     author = {Plech\v{s}m{\'\i}d, Martin},
     title = {Structure of the kernel of higher spin {Dirac} operators},
     journal = {Commentationes Mathematicae Universitatis Carolinae},
     pages = {665--680},
     publisher = {mathdoc},
     volume = {42},
     number = {4},
     year = {2001},
     mrnumber = {1883376},
     zbl = {1090.53502},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/CMUC_2001__42_4_a7/}
}
TY  - JOUR
AU  - Plechšmíd, Martin
TI  - Structure of the kernel of higher spin Dirac operators
JO  - Commentationes Mathematicae Universitatis Carolinae
PY  - 2001
SP  - 665
EP  - 680
VL  - 42
IS  - 4
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/CMUC_2001__42_4_a7/
LA  - en
ID  - CMUC_2001__42_4_a7
ER  - 
%0 Journal Article
%A Plechšmíd, Martin
%T Structure of the kernel of higher spin Dirac operators
%J Commentationes Mathematicae Universitatis Carolinae
%D 2001
%P 665-680
%V 42
%N 4
%I mathdoc
%U http://geodesic.mathdoc.fr/item/CMUC_2001__42_4_a7/
%G en
%F CMUC_2001__42_4_a7
Plechšmíd, Martin. Structure of the kernel of higher spin Dirac operators. Commentationes Mathematicae Universitatis Carolinae, Tome 42 (2001) no. 4, pp. 665-680. http://geodesic.mathdoc.fr/item/CMUC_2001__42_4_a7/