Publication at Faculty of Mathematics and Physics |
2015
Abstract
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).