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

Mathematics – Rings and Algebras

Scientific paper

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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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