1999/12/08 by Jie Du, Du, Jie, Leonard L. Scott +1
Mathematics · #16S80 #20G05 #Advanced Combinatorial Mathematics #Advanced Topics in Algebra #Algebraic structures and combinatorial models #FOS: Mathematics #Group Theory (math.GR) #Quantum Algebra (math.QA) #Representation Theory (math.RT) #Rings and Algebras (math.RA) #math.GR #math.QA #math.RA #math.RT #msc:16S80 #msc:20G05
paper · pdf · doi:10.48550/arxiv.math/9912067
35 pages
arxiv created 1999/12/08 · openalex publication_date 1999/12/08 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Two families of q-Schur algebras associated to Hecke algebras of type D are introduced, and related to a family used by Geck, Gruber and Hiss [10], [11]. We prove that the algebras in one family, called the q-Schur1.5 algebras, are integrally free, stable under base change, and are standardly stratified if the base field has odd characteristic. In the so-called linear prime case of [10], [11], all three families give rise to Morita equivalent algebras. A final section discusses a different example, and speculates on the direction of a general theory.