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Presentations of Trivial Extensions of Finite Dimensional Algebras and a Theorem of Sheila Brenner

✍ Scribed by Elsa A. Fernández; Marı́a Inés Platzeck

Publisher
Elsevier Science
Year
2002
Tongue
English
Weight
169 KB
Volume
249
Category
Article
ISSN
0021-8693

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✦ Synopsis

dedicated to idun reiten on her 60th birthday Let be a finite dimensional algebra over an algebraically closed field such that any oriented cycle in the ordinary quiver of is zero in . We describe the ordinary quiver and relations for T = D , the trivial extension of by its minimal injective cogenerator D , and also for the repetitive algebra of . Associated with this description we give an application of a theorem of Sheila Brenner.  2002 Elsevier Science (USA) 1 The second author is a researcher from CONICET, Argentina.

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