抄録
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).
本文言語 | English |
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ページ(範囲) | 201-215 |
ページ数 | 15 |
ジャーナル | Journal of Geometry and Physics |
巻 | 37 |
号 | 3 |
DOI | |
出版ステータス | Published - 2001 2月 |
ASJC Scopus subject areas
- 数理物理学
- 物理学および天文学(全般)
- 幾何学とトポロジー