2014/06/14 by Alexandr N. Zubkov, Zubkov, Alexandr N.
Mathematics · #Advanced Algebra and Geometry #Advanced Topics in Algebra #Algebra over a field #Algebraic structures and combinatorial models #FOS: Mathematics #Filtration (mathematics) #Geology #Mathematics #Pure mathematics #Representation Theory (math.RT) #Rings and Algebras (math.RA) #Series (stratigraphy) #math.RA #math.RT
paper · pdf · doi:10.48550/arxiv.1406.3757
arxiv created 2014/06/14 · openalex publication_date 2014/06/14 · arxiv updated 2014/06/17 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
The purpose of this paper is to prove necessary and sufficient criteria for a GL(m|n)-supermodule to have a good or Weryl filtration. We also introduce the notion of a Steinberg supermodule analogous to the classical notion of Steinberg module. We prove that the Steinberg supermodule inherits some properties of the Steinberg module. Some new series of finite-dimensional tilting supermodules are found.