Radial Restriction of Spherical Functions on Supergroups

Key Points

• The aim is to explore the radial restriction of spherical functions within the framework of Hopf superalgebras and supergroups.
• Analyzed the Hopf superalgebra structure of the enveloping algebra.
• Investigated the properties of spherical functions on supergroups.
• Established new forms of spherical functions under radial restrictions.
• Identified connections between these functions and the structure of supergroups.