2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/61704This paper determines the representation type of the Iwahori-Hecke algebras of type B when $q\ne\pm1$. In particular, we show that a single parameter non-semisimple Iwahori-Hecke algebra of type B has finite representation type if and only if q is a simple root of the Poincaré polynomial, confirming a conjecture of Uno's.19 pages. LaTeX2e. Requires pstricks and uses mathrsfs fonts. FINAL versionRepresentation TheoryQuantum Algebra20C08, 16G60text