Structure of the kernel of higher spin Dirac operators
Plechšmíd, Martin
Commentationes Mathematicae Universitatis Carolinae, Tome 42 (2001), p. 665-680 / Harvested from Czech Digital Mathematics Library
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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.

Publié le : 2001-01-01
Classification:  32A50,  43A65,  53A30,  53A55,  53C27 
@article{119283,
     author = {Martin Plech\v sm\'\i d},
     title = {Structure of the kernel of higher spin Dirac operators},
     journal = {Commentationes Mathematicae Universitatis Carolinae},
     volume = {42},
     year = {2001},
     pages = {665-680},
     zbl = {1090.53502},
     mrnumber = {1883376},
     language = {en},
     url = {http://dml.mathdoc.fr/item/119283}
}

Plechšmíd, Martin. Structure of the kernel of higher spin Dirac operators. Commentationes Mathematicae Universitatis Carolinae, Tome 42 (2001) pp. 665-680. http://gdmltest.u-ga.fr/item/119283/

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