International Journal of Advanced Research and Development

International Journal of Advanced Research and Development


ISSN: 2455-4030

Vol. 1, Issue 4 (2016)

The derived Picard group is a locally algebraic group

Author(s): Priya Arora
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 complexes over A modulo isomorphism. We prove that DPick (A) is a locally algebraic group, and its identity component is Out(A). If B is a derived Morita equivalent algebra then DPicK(A)≅DPicK(B) as locally algebraic groups.
Pages: 120-122  |  858 Views  278 Downloads
International Journal of Advanced Research and Development
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