✦ LIBER ✦

Shellability of Simplicial Complexes Arising in Representation Theory

✍ Scribed by Luise Unger

Publisher: Elsevier Science
Year: 1999
Tongue: English
Weight: 233 KB
Volume: 144
Category: Article
ISSN: 0001-8708
DOI: 10.1006/aima.1998.1812

No coin nor oath required. For personal study only.

✦ Synopsis

dedicated to h. lenzing on the occasion of his 60th birthday

Let A be a finite dimensional, connected, associative algebra withunit over an algebraically closed field k. All modules we consider are finitely generated, and mod A will denote the category of (finitely generated) A-left-modules.

The topic of this work is the investigation of the set of tilting modules over A.

A tilting module T is defined by the following three properties:

(i) the projective dimension pd T of T is finite, (ii) Ext i A (T, T )=0 for all i>0, and (iii) there is an exact sequence

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