The derived Picard group is a locally algebraic group

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9 Scopus citations

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 languageEnglish
Pages (from-to)53-57
Number of pages5
JournalAlgebras and Representation Theory
Volume7
Issue number1
DOIs
StatePublished - 1 Mar 2004

Keywords

  • Locally algebraic group
  • Picard group

ASJC Scopus subject areas

  • General Mathematics

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