2015/09/02 by Libor Křižka, Libor Krizka, Krizka, Libor +2
Mathematics · #Advanced Algebra and Geometry #Advanced Topics in Algebra #Algebraic structures and combinatorial models #Analysis of PDEs (math.AP) #FOS: Mathematics #Functional Analysis (math.FA) #Representation Theory (math.RT) #math.AP #math.FA #math.RT
paper · pdf · doi:10.48550/arxiv.1509.00646
arxiv created 2015/09/02 · openalex publication_date 2015/09/02 · arxiv updated 2015/09/03 · openalex created_date 2022/10/04 · openalex updated_date 2026/07/28
We discuss some aspects of the composition structure of twisted Verma modules for the Lie algebra \mathfraksl(3, ℂ), including the explicit structure of singular vectors for both \mathfraksl(3, ℂ) and one of its Lie subalgebras \mathfraksl(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).