English

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

Rings and Algebras 2007-05-23 v1

Abstract

We show that the superanalogue of the Iwasawa decomposition exists for supergroup SL(n,m,C)SL(n,m,\mathbb{C}). The first component of the decomposition is the compact real form SU(n,m)SU(n,m), which was constructed following the idea of our article [3]. The second component is the super version of the ANAN group, that we define in this article.

Keywords

Cite

@article{arxiv.math/0506330,
  title  = {Iwasawa decomposition of the Lie supergroup $SL(n,m,\mathbb{C})$},
  author = {F. Pellegrini},
  journal= {arXiv preprint arXiv:math/0506330},
  year   = {2007}
}

Comments

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