On conformal pseudo-subriemannian fundamental graded Lie algebras associated with pseudo $H$-type Lie algebras
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arXiv
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| Format: | Preprint |
| Published: |
2019
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| _version_ | 1866917790032592896 |
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| author | Yatsui, Tomoaki |
| author_facet | Yatsui, Tomoaki |
| contents | A pseudo $H$-type Lie algebra naturally gives rise to a conformal pseudo-subriemannian fundamental graded Lie algebras. In this paper we investigate the prolongations of the associated fundamental graded Lie algebra and the associated conformal pseudo-subriemannian fundamental graded Lie algebra. In particular, we show that the prolongation of the associated conformal pseudo-subriemannian fundamental graded Lie algebra coincides with that of the associated fundamental graded Lie algebra under some assumptions. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_1904_06607 |
| institution | arXiv |
| publishDate | 2019 |
| record_format | arxiv |
| spellingShingle | On conformal pseudo-subriemannian fundamental graded Lie algebras associated with pseudo $H$-type Lie algebras Yatsui, Tomoaki Differential Geometry A pseudo $H$-type Lie algebra naturally gives rise to a conformal pseudo-subriemannian fundamental graded Lie algebras. In this paper we investigate the prolongations of the associated fundamental graded Lie algebra and the associated conformal pseudo-subriemannian fundamental graded Lie algebra. In particular, we show that the prolongation of the associated conformal pseudo-subriemannian fundamental graded Lie algebra coincides with that of the associated fundamental graded Lie algebra under some assumptions. |
| title | On conformal pseudo-subriemannian fundamental graded Lie algebras associated with pseudo $H$-type Lie algebras |
| topic | Differential Geometry |
| url | https://arxiv.org/abs/1904.06607 |