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Fischer Decompositions of Kernels of Hermitean Dirac Operators

Publication at Faculty of Mathematics and Physics |
2010

Abstract

In this note we describe explicitly irreducible decompositions of kernels of the Hermitean Dirac Operators. It turns out that these decompositions are essential for a construction of orthogonal (or even Gelfand-Tsetlin) bases of homogeneous Hermitean monogenic polynomials.