2006/03/15 by Ivan Penkov, Penkov, Ivan, Gregg J. Zuckerman +2
Mathematics · Physics and Astronomy · #17B10 #Advanced Algebra and Geometry #Algebraic structures and combinatorial models #FOS: Mathematics #Nonlinear Waves and Solitons #Representation Theory (math.RT) #math.RT #msc:17B10
paper · pdf · doi:10.48550/arxiv.math/0603371
arxiv created 2006/03/15 · openalex publication_date 2006/03/15 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Let g be a semisimple complex Lie algebra and k in g be any algebraic subalgebra reductive in g. For any simple finite dimensional k-module V, we construct simple (g; k)-modules M with finite dimensional k-isotypic components such that V is a k-submodule of M and the Vogan norm of any simple k-submodule V' of M; V' not isomorphic to V, is greater than the Vogan norm of V . The (g; k)-modules M are subquotients of the fundamental series of (g; k)-modules introduced in [PZ2].