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arXiv · 1410.3244

Classification of pseudo $H$-type algebras

Christian Autenried·Kenro Furutani·Irina Markina
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Abstract

We present a partial classification of the pseudo $H$-type algebras with minimal admissible Clifford modules. Furthermore, we prove that the subspace $\mathfrak{v}_{r,s}$ of $\mathfrak{n}_{r,s}$ is strongly bracket generating if and only if $r=0$ or $s=0$. Additionally, we discuss the classification of pseudo $H$-type algebras related to non-equivalent irreducible Clifford modules.

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Christian Autenried, Kenro Furutani, Irina Markina. 2014-10-13. Classification of pseudo $H$-type algebras. https://arxiv.org/abs/1410.3244

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