1999/02/15 by R. M. Green, R.M. Green, Green, R. M.
Mathematics · #22A30 #Advanced Topics in Algebra #Algebraic structures and combinatorial models #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology #Quantum Algebra (math.QA) #Representation Theory (math.RT) #math.QA #math.RT #msc:22A30
paper · pdf · doi:10.48550/arxiv.math/9902096
19 pages, AMSTeX
arxiv created 1999/02/15 · openalex publication_date 1999/02/15 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We introduce procellular algebras, so called because they are inverse limits of finite dimensional cellular algebras as defined by Graham and Lehrer. A procellular algebra is defined as a certain completion of an infinite dimensional cellular algebra whose cell datum is of ``profinite type''. We show how these notions overcome some known obstructions to the theory of cellular algebras in infinite dimensions.