Blocks with cyclic defect of Hecke orders of Coxeter groups

Authors
Citation
Kw. Roggenkamp, Blocks with cyclic defect of Hecke orders of Coxeter groups, ARCH MATH, 74(3), 2000, pp. 173-182
Citations number
9
Categorie Soggetti
Mathematics
Journal title
ARCHIV DER MATHEMATIK
ISSN journal
0003889X → ACNP
Volume
74
Issue
3
Year of publication
2000
Pages
173 - 182
Database
ISI
SICI code
0003-889X(20000301)74:3<173:BWCDOH>2.0.ZU;2-Y
Abstract
Let B be a p-block of cyclic defect of a Hecke order over the complete ring Z[q]([q-1,p]); i.e, module [q - 1] it is a p-block B of cyclic defect of t he underlying Coxeter group G. Then B is a tree order over Z[q]([q-1,p]) to the Brauer tree of B. Moreover, in case 1 is the principal block of the He cke order of the symmetric group S(p) on p elements, then B can be describe d explicitly. In this case a complete set of nonisomorphic indecomposable C ohen-Macaulay B-modules is given.