Automorphism groups of pseudo $H$-type algebras

TL;DR

This paper characterizes the automorphism groups of pseudo $H$-type Lie algebras, which are linked to Clifford algebras and have applications in geometry and theoretical physics.

Contribution

It provides a complete description of the automorphism groups for pseudo $H$-type Lie algebras, a class of two-step nilpotent Lie algebras related to Clifford algebras.

Findings

Determined the automorphism groups explicitly

Connected automorphisms to Clifford algebra structures

Enhanced understanding of symmetries in pseudo $H$-type algebras

Abstract

In the present paper, we determine the group of automorphisms of pseudo $H$-type Lie algebras, which are two-step nilpotent Lie algebras closely related to the Clifford algebras $\Cl(\mathbb R^{r,s})$.