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

• Datum: 1997
• Hauptverfasser: Boyars'kyi, O. M., Skrypnik, T. V., Боярський, О. М., Скрипник, Т. В.
• Format: Artikel
• Sprache: Ukrainisch; Englisch
• Veröffentlicht: Institute of Mathematics, NAS of Ukraine 1997
• Online Zugang: https://umj.imath.kiev.ua/index.php/umj/article/view/5079
• Назва журналу: 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)×...