arXiv Analytics

Sign in

arXiv:math/0206195 [math.RT]AbstractReferencesReviewsResources

Infinite dimensional representations of canonical algebras

Idun Reiten, Claus Michael Ringel

Published 2002-06-19Version 1

The aim of this paper is to extend the structure theory for infinitely generated modules over tame hereditary algebras to the more general case of modules over concealed canonical algebras. Using tilting, we may assume that we deal with canonical algebras. The investigation is centered around the generic and the Pr\"{u}fer modules, and how other modules are determined by these modules.

Comments: 29 pages
Categories: math.RT, math.RA
Subjects: 16D70, 16D90
Related articles: Most relevant | Search more
arXiv:1407.2326 [math.RT] (Published 2014-07-09)
A Homological Bridge Between Finite and Infinite Dimensional Representations of Algebras
arXiv:1107.0444 [math.RT] (Published 2011-07-03)
Stratifications of derived categories from tilting modules over tame hereditary algebras
arXiv:0708.1412 [math.RT] (Published 2007-08-10, updated 2008-01-03)
Which canonical algebras are derived equivalent to incidence algebras of posets?

Links

Toolbox