|
|
| |
| Indecomposable Calabi-Yau Objects in Stable Module Categories of Finite Type |
| |
Citation： |
Xiaolan YU,Jiwei HE.Indecomposable Calabi-Yau Objects in Stable Module Categories of Finite Type[J].Chinese Annals of Mathematics B,2011,32(5):793~802 |
| Page view： 1903
Net amount： 1623 |
Authors： |
Xiaolan YU; Jiwei HE; |
Foundation： |
by the National Natural Science Foundation of China (No. 10801099), the Zhejiang
Provincial Natural Science Foundation of China (No. J20080154), and the grant from Science Technology
Department of Zhejiang Province (No. 2011R10051). |
|
|
| Abstract： |
The authors give a discription of the stable categories of selfinjective algebras of
finite representation type over an algebraically closed field, which admits indecomposable
Calabi-Yau obdjects. For selfinjective algebras with such properties, the ones whose stable
categories are not Calabi-Yau are determined. For the remaining ones, i.e., those selfinjective
algebras whose stable categories are actually Calabi-Yau, the difference between
the Calabi-Yau dimensions of the indecomposable Calabi-Yau objects and the Calabi-Yau
dimensions of the stable categories is described. |
Keywords： |
Selfinjective algebra, Stable category, Calabi-Yau category,
Indecomposable Calabi-Yau object |
Classification： |
16G10, 16D50, 16G60, 18E30 |
|
|
Download PDF Full-Text
|
|
|
|
