Orbits of spherical representations and Pyasetskii duality
Abstract
Two dual representations $V$ and $V^*$ of a complex connected algebraic group $G$ have simultaneously an infinite or a finite number of orbits. In the latter case there exists a bijective correspondence between the orbits in $V$ and $V^*$, which is called the Pyasetskii duality [1]. A full description of this correspondence for orbits of spherical linear representations is obtained. Bibliography: 11 titles.
Fields of Study & Subjects
Advanced Algebra and Geometry
Advanced Operator Algebra Research
Homotopy and Cohomology in Algebraic Topology
Publication details
- Journal / source
- Sbornik Mathematics
- Volume
- 217
- Issue
- 3
- Pages
- 417–441
- Publication date
- 1 January 2026
- Language
- EN