Iwasawa decomposition of the Lie supergroup $SL(n,m,\mathbb{C})$
Abstract
Description
We 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 Applications
13 pages, accepted for publication at Journal of Algebra and its Applications