Classification of pseudo $H$-type algebras
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...
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| Format: | Artikel |
| Sprache: | eng |
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| Zusammenfassung: | 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. |
|---|---|
| DOI: | 10.48550/arxiv.1410.3244 |