Perverse equivalences and Broué's conjecture.

DOI10.1016/j.aim.2013.07.010zbMath1310.20013arXiv1010.1378OpenAlexW1971144717WikidataQ122932909 ScholiaQ122932909MaRDI QIDQ2437516

Raphaël Rouquier, David A. Craven

Publication date: 3 March 2014

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1010.1378

zbMATH Keywords

defect groupsderived equivalencesblockssource algebrasBrauer correspondencetilting complexesBroué Abelian defect group conjectureGreen correspondenceperverse equivalences

Mathematics Subject Classification ID

Modular representations and characters (20C20)

Related Items (12)

On perverse equivalences and rationality ⋮ Broué's isotypy conjecture for the sporadic groups and their covers and automorphism groups ⋮ Brou\'e's Conjecture for 2-blocks with elementary abelian defect groups of order 32 ⋮ Morita equivalence classes of blocks with elementary abelian defect groups of order 32 ⋮ Decomposition numbers of \(\mathrm{SO}_7(q)\) and \(\mathrm{Sp}_6(q)\). ⋮ External vertices for crystals of affine type A ⋮ Categorical braid group actions and cactus groups ⋮ Splendid and perverse equivalences ⋮ Brauer trees of unipotent blocks ⋮ Equivariant splendid Rickard equivalences ⋮ Morita equivalence classes of $2$-blocks of defect three ⋮ An algorithmic approach to perverse derived equivalences Broué's conjecture for \(\Omega_8^+(2)\)

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