✦ LIBER ✦

Automorphisms of Repetitive Algebras

✍ Scribed by Yosuke Ohnuki; Kaoru Takeda; Kunio Yamagata

Publisher: Elsevier Science
Year: 2000
Tongue: English
Weight: 145 KB
Volume: 232
Category: Article
ISSN: 0021-8693
DOI: 10.1006/jabr.2000.8418

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✦ Synopsis

B be the repetitive algebra of a finite dimensional algebra B over a field K Ž . by the B-bimodule DB s Hom B, K , and let be the Nakayama automorphism ˆôf B. We determine the positive automorphisms of B such that the orbit algebra ˆŽ .

Br is isomorphic to a splittable extension algebra of B by the B-bimodule Ž .

DB

for an automorphism ␤ of B, and we characterize weakly symmetric ␤ ˆŽ .

algebras and symmetric algebras of the form Br with a positive automorphism of B. As an application, we characterize some class of weakly symmetric algebras with non-periodic generalized standard Auslander᎐Reiten components.

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