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Titlebook: Geometric and Topological Aspects of the Representation Theory of Finite Groups; PIMS Summer School a Jon F. Carlson,Srikanth B. Iyengar,Ju

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Bilinear Forms on Grothendieck Groups of Triangulated Categories,en by indecomposable objects has a dual basis given by Auslander–Reiten triangles. An application is given to the homotopy category of perfect complexes over a symmetric algebra, with a consequence analogous to a result of Erdmann and Kerner.
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International Studies in Economic Modellingh Navarro’s generalisation of the Alperin–McKay conjecture. We show that Rouquier’s splendid Rickard complex for blocks with cyclic defect groups descends to the non-split case. We also prove a descent theorem for Morita equivalences with endopermutation source.
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Thick Subcategories of the Relative Stable Category,ared to the ordinary stable category, there are fewer triangles and more thick subcategories. Our interest is in the spectrum of the category and its relationship to the induction functor. In some cases, the spectrum is not noetherian.
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Anderson and Gorenstein Duality,, MI, 2011, Thesis (Ph.D.)–Northwestern University, [.]), Vesna Stojanoska (Doc Math 17:271–311, 2012, [.]), and explains how to use local cohomology and invariant theory to understand the numerology of shifts in simple cases.
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A Remark on the Construction of Centric Linking Systems,tegories always exist, and also helps to motivate the procedure used by Chermak [.] when he did prove it. It also shows that the claim by Puig [.] to have proven this result in a recently published paper is not correct.
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Cohomology of Algebraic Groups with Coefficients in Twisted Representations,ains that the existence of certain ‘universal classes’ used to prove cohomological finite generation is equivalent to some recent ‘untwisting theorems’ in the theory of strict polynomial functors. We actually provide thereby a new proof of these theorems.
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