On conformal pseudo-subriemannian fundamental graded Lie algebras associated with pseudo $H$-type Lie algebras

Tomoaki Yatsui

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arXiv · 1904.06607

On conformal pseudo-subriemannian fundamental graded Lie algebras associated with pseudo $H$-type Lie algebras

Tomoaki Yatsui

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Abstract

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.

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Tomoaki Yatsui. 2019-04-13. On conformal pseudo-subriemannian fundamental graded Lie algebras associated with pseudo $H$-type Lie algebras. https://arxiv.org/abs/1904.06607

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