Iwasawa decomposition of the Lie supergroup $SL(n,m,\mathbb{C})$

2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/75511We show that the superanalogue of the Iwasawa decomposition exists for supergroup $SL(n,m,\mathbb{C})$. The first component of the decomposition is the compact real form $SU(n,m)$, which was constructed following the idea of our article [3]. The second component is the super version of the $AN$ group, that we define in this article.13 pages, accepted for publication at Journal of Algebra and its ApplicationsRings and AlgebrasIwasawa decomposition of the Lie supergroup $SL(n,m,\mathbb{C})$text