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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