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On equivalences of bernstein-gelfand-gelfand, beilinson and happel

 

作者: Piotr Dowbor,   Hagen Meltzer,  

 

期刊: Communications in Algebra  (Taylor Available online 1992)
卷期: Volume 20, issue 9  

页码: 2513-2531

 

ISSN:0092-7872

 

年代: 1992

 

DOI:10.1080/00927879208824477

 

出版商: Marcel Dekker, Inc.

 

数据来源: Taylor

 

摘要:

Bernstein-Gelfand-Gelfand showed that the derived category of coherent sheaves on the projective n-space Db(cohPn) is equivalent to the stable ategory of the category of Z-graded finite-dimensional modules over the exterior algebra. At the same time Beilinson gave a description of Db(cohPn) which can be interpreted in terms of tilting theory. We compare these two characterizations using Happel's description of the derived category of modules over a finite-dimensional algebra of fnite global dimension.

 

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