Coherent Continuation on the Category of (𝔤, K)-Modules

Abstract

Let 𝔤 be a complex semisimple Lie algebra. Let K be an algebraic group acting on the flag variety of 𝔤 with finitely many orbits. We give a geometric interpretation of the coherent continuation on the category of finitely generated (𝔤, K )-modules in terms of the intertwining functors on the category of K-equivariant 𝒟-modules.

Key Words:

• Semisimple Lie algebra
• Weyl group
• Coherent continuation
• Intertwining functors

Acknowledgment

The author was partially supported by a grant from the Ministry of Science and Technology of Croatia.