REPRESENTATION TYPE OF ENDOMORPHISM ALGEBRAS OF EXCEPTIONAL SEQUENCESOF TYPE A(N)

Authors
YAO HL PING YR
Citation
Hl. Yao et Yr. Ping, REPRESENTATION TYPE OF ENDOMORPHISM ALGEBRAS OF EXCEPTIONAL SEQUENCESOF TYPE A(N), Acta Mathematica Sinica, New Series, 14(4), 1998, pp. 555-562
Citations number
14
Categorie Soggetti
Mathematics,Mathematics,Mathematics,Mathematics
Journal title
Acta Mathematica Sinica, New Series
ISSN journal
10009574 → ACNP
Volume
14
Issue
4
Year of publication
1998
Pages
555 - 562
Database
ISI
SICI code
1000-9574(1998)14:4<555:RTOEAO>2.0.ZU;2-I
Abstract
Let F be an algebraically closed field, <(Delta)over right arrow> be a quiver of type A(n). In this paper we prove that the endomorphism alg ebras of exceptional sequences over F<(Delta)over right arrow> are sum s of finitely many tilted algebras of type A(m) where m less than or e qual to n by using perpendicular categories, and thus the endomorphism algebras of exceptional sequences of type A(n) are representation-fin ite.