Mathematics – Rings and Algebras
Scientific paper
2005-06-16
Mathematics
Rings and Algebras
13 pages, accepted for publication at Journal of Algebra and its Applications
Scientific paper
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.
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