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Bibliographic Details
Main Author: Yatsui, Tomoaki
Format: Preprint
Published: 2019
Subjects:
Online Access:https://arxiv.org/abs/1904.06607
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Table of 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.