Details
| Original language | English |
|---|---|
| Pages (from-to) | 233-239 |
| Number of pages | 7 |
| Journal | Archiv der Mathematik |
| Volume | 85 |
| Issue number | 3 |
| Publication status | Published - Sept 2005 |
| Externally published | Yes |
Abstract
The determinant of the Cartan matrix of a finite dimensional algebra is an invariant of the derived category and can be very helpful for derived equivalence classifications. In this paper we determine the determinants of the Cartan matrices for all gentle algebras. This is a class of algebras of tame representation type which occurs naturally in various places in representation theory. The definition of these algebras is of a purely combinatorial nature, and so are our formulae for the Cartan determinants.
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In: Archiv der Mathematik, Vol. 85, No. 3, 09.2005, p. 233-239.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - Cartan determinants for gentle algebras
AU - Holm, Thorsten
PY - 2005/9
Y1 - 2005/9
N2 - The determinant of the Cartan matrix of a finite dimensional algebra is an invariant of the derived category and can be very helpful for derived equivalence classifications. In this paper we determine the determinants of the Cartan matrices for all gentle algebras. This is a class of algebras of tame representation type which occurs naturally in various places in representation theory. The definition of these algebras is of a purely combinatorial nature, and so are our formulae for the Cartan determinants.
AB - The determinant of the Cartan matrix of a finite dimensional algebra is an invariant of the derived category and can be very helpful for derived equivalence classifications. In this paper we determine the determinants of the Cartan matrices for all gentle algebras. This is a class of algebras of tame representation type which occurs naturally in various places in representation theory. The definition of these algebras is of a purely combinatorial nature, and so are our formulae for the Cartan determinants.
UR - http://www.scopus.com/inward/record.url?scp=25144492250&partnerID=8YFLogxK
U2 - 10.1007/s00013-005-1344-8
DO - 10.1007/s00013-005-1344-8
M3 - Article
AN - SCOPUS:25144492250
VL - 85
SP - 233
EP - 239
JO - Archiv der Mathematik
JF - Archiv der Mathematik
SN - 0003-889X
IS - 3
ER -