We classify, up to conjugation, all subgroups of the semidirect products ℍ1 ⋊ SL(2, R) and R2 ⋊ SL(2, R). Our methods can also be applied to all Lie groups that are locally isomorphic to them.
Canonical subgroups of ℍ1 ⋊ SL(2, R)
DE MARI CASARETO DAL VERME, FILIPPO;
2002-01-01
Abstract
We classify, up to conjugation, all subgroups of the semidirect products ℍ1 ⋊ SL(2, R) and R2 ⋊ SL(2, R). Our methods can also be applied to all Lie groups that are locally isomorphic to them.
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