Notes
I write some notes, which reflect my understanding and interests on automorphic representation theory and its related fields.
Algebraic groups and Lie groups:
Root system, Borel-Tits theory, Spherical root system
Smooth affine spherical varieties
Harmonic analysis:
Representation theory:
Transcendental version of the theory of spherical harmonics, Howe duality
Representations of Metaplectic group
G-inner form, Langlands dual group for spherical varieties
Calculations:
Classics:
Luna’s theory of spherical systems, Primitive wonderful varieties