Broué's conjecture for the nonprincipal block of SL ( 2 , q ) with full defect
Tài liệu tham khảo
Andersen, 1983, The projective indecomposable modules of SL(2,pn), Proc. London Math. Soc. (3), 46, 38, 10.1112/plms/s3-46.1.38
Broué, 1990, Isométries parfaites, types de blocs, catégories dérivées, Astérisque, 181–182, 61
Broué, 1994, Equivalences of blocks of group algebras, 1
Chuang, 2001, Derived equivalence in SL2(p2), Trans. Amer. Math. Soc., 353, 2897, 10.1090/S0002-9947-01-02679-4
Chuang, 2007, Representations of finite groups and tilting, vol. 332, 359
van Ham, 1982, On the Cartan invariant of SL(2,Fq), Comm. Algebra, 10, 1565, 10.1080/00927878208822792
M. Holloway, Derived equivalences for group algebras, PhD thesis, University of Bristol, 2001
Marcus, 1996, On equivalences between blocks of group algebras: Reduction to the simple components, J. Algebra, 184, 372, 10.1006/jabr.1996.0265
Marcus, 2003, Tilting complexes for group graded algebras, J. Group Theory, 6, 175, 10.1515/jgth.2003.013
T. Okuyama, Derived equivalence in SL(2,q), preprint, 2000
Rickard, 1989, Morita theory for derived categories, J. London Math. Soc. (2), 39, 436, 10.1112/jlms/s2-39.3.436
Rickard, 1996, Splendid equivalences: Derived categories and permutation modules, Proc. London Math. Soc. (3), 72, 331, 10.1112/plms/s3-72.2.331
Rouquier, 1995, From stable equivalences to Rickard equivalences for blocks with cyclic defect, vol. 212, 512
Rouquier, 1998, The derived category of blocks with cyclic defect groups, vol. 1685, 199