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 |
|---|---|
| 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