2009/04/17 by Noriyuki Abe, Abe, Noriyuki
Mathematics · #17B10 #20F55 #Advanced Algebra and Geometry #Advanced Combinatorial Mathematics #Algebraic structures and combinatorial models #FOS: Mathematics #Representation Theory (math.RT) #math.RT #msc:17B10 #msc:20F55
paper · pdf · doi:10.48550/arxiv.0904.2734
21 pages
arxiv created 2009/04/17 · openalex publication_date 2009/04/17 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We study the category O for a general Coxeter system using a formulation of Fiebig. The translation functors, the Zuckerman functors and the twisting functors are defined. We prove the fundamental properties of these functors, the duality of Zuckerman functor and generalization of Verma's result about homomorphisms between Verma modules.