Degenerate orbits of adjoint representation of orthogonal and unitary groups regarded as algebraic submanifolds

• Date: 1997
• Main Authors: Boyars'kyi, O. M., Skrypnik, T. V., Боярський, О. М., Скрипник, Т. В.
• Format: Article
• Language: Ukrainian; English
• Published: Institute of Mathematics, NAS of Ukraine 1997
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/5079
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

We suggest a method for describing some types of degenerate orbits of orthogonal and unitary groups in the corresponding Lie algebras as level surfaces of a special collection of polynomial functions. This method allows one to describe orbits of the types SO(2n)/SO(2k)×SO(2) n−k , SO(2n+1)/SO(2k+1)×...