On the composition structure of the twisted Verma modules for sl(3;C)

Abstrakt

We discuss some aspects of the composition structure of twisted Verma modules for the Lie algebra sl(3;C), including the explicit structure of singular vectors for both sl(3;C) and one of its Lie subalgebras sl(2;C), and also of their generators. Our analysis is based on the use of partial Fourier tranform applied to the realization of twisted Verma modules as D-modules on the Schubert cells in the full flag manifold for SL(3;C).

Klíčová slova

• Lie algebra sl(3
• C)
• twisted Verma modules
• composition structure
• D-modules