Picard groups for derived module categories

Proceedings of the London Mathematical Society

Volumn 87, Issue 1, 2003, Pages 197-225

  Rouquier, Raphaël ^a   Zimmermann, Alexander ^b  

^a UNIVERSITÉ PARIS DESCARTES   (France)

^b UNIVERSITÉ DE PICARDIE JULES VERNE   (France)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0038711280     PISSN: 00246115     EISSN: None     Source Type: Journal    
DOI: 10.1112/S0024611503014059     Document Type: Conference Paper

References (18)

1. N. BOURBAKI, Algèbre commutative, Chapitres I à IV (Masson, Paris, 1985).
2. C. W. CURTIS and I. REINER, Methods of representation theory, Vol. I (Wiley-Interscience, New York, 1981).
3. C. W. CURTIS and I. REINER, Methods of representation theory, Vol. II (Wiley-Interscience, New York, 1987).
4. P. GABRIEL and CHR. RIEDTMANN, 'Group representations without groups', Comment. Math. Helv. 54 (1978) 240-287.
5. A. GROTHENDIECK, 'Groupe des classes des catégories abéliennes et triangulées, complexes parfaits', Séminaire de géométrie algébrique du, Bois Marie 1965/66, (SGA 5) cohomologie l-adique et fonctions L (ed. A. Grothendieck et al.), Lecture Notes in Mathematics 589 (Springer, Berlin, 1977) 351-371.
6. B. KELLER, 'A remark on tilting theory and DG-algebras', Manuscripta Math. 79 (1993) 247-253.
7. B. KELLER and D. VOSSIECK, 'Sous les catégories dérivées', C. R. Acad. Sci. Paris Sér. I Math. 305 (1987) 225-228.
8. S. KÖNIG and A. ZIMMERMANN, Tilting hereditary orders', Comm. Algebra 24 (1996) 1897-1913.
9. M. LINCKELMANN, 'Stable equivalences of Morita type for self-injective algebras and p-groups', Math. Z. 223 (1996) 87-100.
10. J. RICKARD, 'Morita theory for derived categories', J. London Math. Soc. (2) 39 (1989) 436-456.
11. J. RICKARD, 'Derived categories and stable equivalence', J. Pure Appl. Algebra 61 (1989) 303-317.
12. J. RICKARD, 'Derived equivalences as derived functors', J. London Math. Soc. (2) 43 (1991) 37-48.
13. J. RICKARD, 'Triangulated categories in the modular representation theory of finite groups', Derived categories for group rings (ed. S. König and A. Zimmermann), Lecture Notes in Mathematics 1685 (Springer, New York, 1998) 177-198.
14. R. ROUQUIER, 'From stable equivalences to Rickard equivalences for blocks with cyclic defect', Groups 1993, Galway/St Andrews II (ed. C. M. Campbell et al.), London Mathematical Society Lecture Note Series 212 (Cambridge University Press, 1995) 512-523.
15. J. L. VERDIER, 'Catégories dérivées, état 0', Séminaire de géométrie algébrique du Bois Marie, (SGA 41/2) cohomologie étale (ed. Pierre Deligne et al.), Lecture Notes in Mathematics 569 (Springer, Berlin, 1977) 262-308.
16. A. YEKUTIELI, 'Dualizing complexes, Morita equivalence and the derived Picard group of a ring', J. London Math. Soc. (2) 60 (1999) 723-746.
17. A. ZIMMERMANN, 'Derived equivalences of orders', Representation theory of algebras, Proceedings of the ICRA VII, Mexico (ed. R. Bautista, R. Martinez-Villa and J. A. de la Peña), Canadian Mathematical Society Conference Proceedings 18 (American Mathematical Society, Providence, RI, 1996) 721-749.
18. A. ZIMMERMANN, 'Automorphisms of Green orders and their derived categories', Algebras and Representation Theory, to appear.