Convergent noncommutative power series algebras and their finite dimensional representations

2007/01/02 by Frank Schuhmacher, Schuhmacher, Frank
Computer Science · Mathematics · #16L30 #Advanced Topics in Algebra #Algebraic structures and combinatorial models #FOS: Mathematics #Matrix Theory and Algorithms #Quantum Algebra (math.QA) #Representation Theory (math.RT) #math.QA #math.RT #msc:16L30

paper · pdf · doi:10.48550/arxiv.math/0701048

14 pages

arxiv created 2007/01/02 · openalex publication_date 2007/01/02 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We define ''convergence'' for noncommutative power series and construct two topologies on the algebra of power series, convergent with respect to a positive radius. We indicate all finite dimensional continuous representations of this algebra and prove completeness for both topologies.

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