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Showing 1 to 10 of 10 for “"Morita equivalence"”.
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Morita Equivalence and Generalized Kähler Geometry
… Poisson structures, a holomorphic symplectic Morita equivalence relating them, and a Lagrangian brane inside of the Morita equivalence. We apply this reformulation to solve the longstanding problem of representing the metric of a GK structure in terms of a real-valued potential function. This …
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Morita equivalence for group -theoretical categories
… This leads to the definition of categorical Morita equivalence on the set of all finite groups and on the set of all pairs ( G, o), where G is a finite group and o ∈ H3(G, kx). A group-theoretical and cohomological interpretation of this relation is given. As an application, we give a …
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Differential Polynomial Rings: Order Properties and Morita Equivalence
The thesis is concerned with the behavior of certain ring properties with respect to the ring extension R (--->) R{X,(delta)}, where the latter is the ring of differential polynomials. Three properties are considered.
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Stacks in Poisson geometry
… proof of the folklore result that there is an equivalence between the bicategory of internal groupoids and the bicategory of geometric stacks. The second chapter discusses standard concepts in the theory of geometric stacks, including Morita equivalence, stack symmetries, and some Morita …
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Rationality of blocks of quasi-simple finite groups
The Morita Frobenius number of an algebra is the number of Morita equivalence classes of its Frobenius twists. Introduced by Kessar in 2004, these numbers are important in the context of Donovan's conjecture for blocks of finite group algebras. Let P be a finite ℓ-group. Donovan's conjecture states …
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Untersuchungen zu Donovans Vermutung für klassische Gruppen
In 1980, Donovan conjectured that the number of Morita equivalence classes ofblocks of finite groups with prescribed defect group is finite. In this thesisDonovan's conjecture is investigated for classical groups. First, a recenttheorem of Bonnafe and Rouquier is used to reduce Donovan'sconjecture …
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Finite dimensional representations of sympletic reflection algebras for wreath products
… the Hochschild cohomology of H1,k,c(...), and a Morita equivalence, established by Crawley-Boevey and Holland, between the rank one algebra H1, ... and the deformed preprojective algebra ?Q), where Q is the extended Dynkin quiver attached to ?? via the McKay correspondence. We carry out a similar …
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Group rings over the p-adic integers
… blocks, that is, orders of minimal rank in the Morita equivalence class of the order in question. This thesis combines arithmetic methods from the theory of orders in semi simple algebras with methods from modular representation theory and representation theory of algebras (in particular derived …
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Automorphism groups of self-dual codes
… the group order. These formulae are proven via a Morita equivalence, reducing the problem to the counting of self-dual linear codes, which is well understood.