The Derived Picard Group is a Locally Algebraic Group

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Let A be a finite dimensional algebra over an algebraically closed field K. The derived Picard group DPic(A) is the group of two-sided tilting complexes over A modulo isomorphism. We prove that DPic(A) is a locally algebraic group, and its identity component is Out^0(A). If B is a derived Morita equivalent algebra then DPic(A) is isomorphic to DPic(B) as locally algebraic groups. Our results extend, and our based on, work of Huisgen-Zimmermann, Saorin and Rouquier.
4 pages, AMSLaTeX, to appear in Algebr. Represent. Theory

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Rings and Algebras, Algebraic Geometry, Representation Theory, 16D90 (Primary); 16G10, 18E30, 20G15 (Secondary)

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http://salesiana.dossiersoluciones.com/handle/123456789/59096

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0005005
 http://arxiv.org/abs/math/0005005

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arXiv