Abstract
Let A be a finite-dimensional algebra over an algebraically closed field K. The derived Picard group DPicK(A) is the group of two-sided tilting complex over A modulo isomorphism. We prove that DPicK(A) is a locally algebraic group, and its identity component is OutK0(A). If B is a derived Morita equivalent algebra then DPicK(A) ≅ DPicK(B) as locally algebraic results extend, and are based on, work of Huisgen-Zimmermann, Saorín and Rouquier.
Original language | English |
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Pages (from-to) | 53-57 |
Number of pages | 5 |
Journal | Algebras and Representation Theory |
Volume | 7 |
Issue number | 1 |
DOIs | |
State | Published - 1 Mar 2004 |
Keywords
- Locally algebraic group
- Picard group
ASJC Scopus subject areas
- General Mathematics