Details
| Original language | English |
|---|---|
| Pages (from-to) | 1523-1533 |
| Number of pages | 11 |
| Journal | Journal of Pure and Applied Algebra |
| Volume | 214 |
| Issue number | 9 |
| Publication status | Published - 1 Sept 2010 |
Abstract
Let D be a triangulated category with a cluster tilting subcategory U. The quotient category D / U is abelian; suppose that it has finite global dimension. We show that projection from D to D / U sends cluster tilting subcategories of D to support tilting subcategories of D / U, and that, in turn, support tilting subcategories of D / U can be lifted uniquely to weak cluster tilting subcategories of D.
ASJC Scopus subject areas
- Mathematics(all)
- Algebra and Number Theory
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In: Journal of Pure and Applied Algebra, Vol. 214, No. 9, 01.09.2010, p. 1523-1533.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - On the relation between cluster and classical tilting
AU - Holm, Thorsten
AU - Jørgensen, Peter
PY - 2010/9/1
Y1 - 2010/9/1
N2 - Let D be a triangulated category with a cluster tilting subcategory U. The quotient category D / U is abelian; suppose that it has finite global dimension. We show that projection from D to D / U sends cluster tilting subcategories of D to support tilting subcategories of D / U, and that, in turn, support tilting subcategories of D / U can be lifted uniquely to weak cluster tilting subcategories of D.
AB - Let D be a triangulated category with a cluster tilting subcategory U. The quotient category D / U is abelian; suppose that it has finite global dimension. We show that projection from D to D / U sends cluster tilting subcategories of D to support tilting subcategories of D / U, and that, in turn, support tilting subcategories of D / U can be lifted uniquely to weak cluster tilting subcategories of D.
UR - http://www.scopus.com/inward/record.url?scp=76049096719&partnerID=8YFLogxK
U2 - 10.1016/j.jpaa.2009.11.012
DO - 10.1016/j.jpaa.2009.11.012
M3 - Article
AN - SCOPUS:76049096719
VL - 214
SP - 1523
EP - 1533
JO - Journal of Pure and Applied Algebra
JF - Journal of Pure and Applied Algebra
SN - 0022-4049
IS - 9
ER -