Iwasawa decomposition of the Lie supergroup SL(n,m,ℂ)

2005/06/16 by F. Pellegrini, Pellegrini, F.
Mathematics · #Advanced Algebra and Geometry #Advanced Operator Algebra Research #Advanced Topics in Algebra #math.RA

paper · pdf · doi:10.48550/arxiv.math/0506330

13 pages, accepted for publication at Journal of Algebra and its Applications

arxiv created 2005/06/16 · arxiv updated 2009/12/01

Abstract

We show that the superanalogue of the Iwasawa decomposition exists for supergroup SL(n,m,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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