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Spinor-valued and Clifford algebra-valued harmonic polynomials

✍ Scribed by Yasushi Homma

Publisher
Elsevier Science
Year
2001
Tongue
English
Weight
113 KB
Volume
37
Category
Article
ISSN
0393-0440

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✦ Synopsis

We give decompositions of the spinor-valued and the Clifford algebra-valued harmonic polynomials on R n . In order to do so, we consider some differential complexes and show that these are exact. As a corollary, we have PoincarΓ© lemma for harmonic polynomials. Besides, we prove that each component of the decompositions is an irreducible representation space with respect to Spin(n).

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