The correct relatively stable category for idempotent modules

Details The correct relatively stable category for idempotent modules The correct relatively stable category for idempotent modules

2007-08-28

arxiv.org/abs/0708.3741v2

Mathematics

Representation Theory

7 pages revised prior to submission

Scientific paper

We answer a question posed by Carlson, Peng, and Wheeler, and demonstrate
that in general Rickard modules in relatively stable categories are not
idempotent modules even if one localizes with respect to a tensor ideal
subcategory. We also show that there is a modification one can make so as to
recover the idempotent behaviour.

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