Re: monoidal derived categories

From: Dan Christensen (jdc_at_uwo.ca)
Date: 03/17/05 

Date: 16 Mar 2005 20:45:01 -0500

serge bouc <sergepointbouc@free.fr> writes:

> Urs Schreiber a ecrit :
>>
>> Is anything known about (weak) multiplicative inverses in D(C)??
>
> It seems you're looking for "Derived Picard group". Google will
> tell you more about this.

Actually, I think the "derived Picard group" is different from
the "Picard group of the derived category", and that it is the latter
than Urs was asking about.

The former is "the group of auto-equivalences of the derived category
D^b(Mod A) induced by tilting complexes" (quoted from

http://www.math.bgu.ac.il/~amyekut/publications/dpic-jap/dpic-jap.html)

See also page 5 of

  http://www.math.jussieu.fr/~keller/publ/hdp.pdf

and references therein.

Dan
.