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Showing 1 to 3 of 3 for “"tilting theory"”.
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Equivariant Modules
… we put the above complexes in the realm of tilting theory: non-exactness of this family in certain regions can be seen as a failure of the exceptional sequence of line bundles on the projective space to lift to an exceptional sequence on a certain vector bundle. This observation creates a …
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Complexity over Finite-Dimensional Algebras
<p>In this thesis we study two types of complexity of modules over finite-dimensional algebras.</p> <p>In the first part, we examine the Ω-complexity of a family of self-injective k-algebras where k is an algebraically closed field and Ω is the syzygy operator. More precisely, let T be the trivial …
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Sur la structure exacte E⋄
Cette thèse s'inscrit dans la théorie des catégories exactes et introduit une nouvelle structure appelée structure exacte diamant, définie sur des sous-catégories de modules associées à des carquois de type A. La contribution centrale est la construction et l'analyse de cette structure, bâtie à …