Ends of the first complementary series of generalized principal series

Puntos clave

• The research aims to identify all irreducible non-tempered composition factors in specific representations.
• Analyzed representations of symplectic, special odd-orthogonal, and unitary groups.
• Focus on induced representations at the ends of the first complementary series.
• Utilized characteristics of non-archimedean local fields.
• Identified all irreducible non-tempered composition factors for the specified groups.
• Expanded understanding of representation theory and its applications in various mathematical contexts.