Spinor-valued and Clifford algebra-valued harmonic polynomials

研究成果: Article

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

元の言語English
ページ(範囲)201-215
ページ数15
ジャーナルJournal of Geometry and Physics
37
発行部数3
DOI
出版物ステータスPublished - 2001 2 1

ASJC Scopus subject areas

  • Mathematical Physics
  • Physics and Astronomy(all)
  • Geometry and Topology

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