Spectra of the rarita-schwinger operator on some symmetric spaces

研究成果: Article査読

2 被引用数 (Scopus)

抄録

We give a method to calculate spectra of the square of the Rarita-Schwinger operator on compact symmetric spaces. According to Weitzenböck formulas, the operator can be written by the Laplace operator, which is the Casimir operator on compact symmetric spaces. Then we can obtain the spectra by using the Freudenthal's formula and branching rules. As examples, we calculate the spectra on the sphere, the complex projective space, and the quaternionic projective space.

本文言語English
ページ(範囲)249-264
ページ数16
ジャーナルJournal of Lie Theory
31
1
出版ステータスPublished - 2021

ASJC Scopus subject areas

  • 代数と数論

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