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

F. Pellegrini
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Abstract

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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F. Pellegrini. 2005-06-16. Iwasawa decomposition of the Lie supergroup $SL(n,m,\mathbb{C})$. https://arxiv.org/abs/math/0506330

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