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Derived equivalences

Hermitian K theory, derived equivalences and Karoubi's fundamental theorem

Hermitian K theory, derived equivalences and Karoubi's fundamental theorem

... weak equivalences and duality that have uniquely 2-divisible mapping complexes, we show that higher Grothendieck-Witt groups ...der derived equivalences and that Morita exact sequences induce long ...

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On Morita and derived equivalences for cohomological Mackey algebras

On Morita and derived equivalences for cohomological Mackey algebras

... Rickard equivalences extends in the obvious way to categories of cohomological Mackey ...are derived equivalent, then they are Rickard equivalent, but such a Rickard equivalence may not be related in an ...

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P-Adic lifting problems and derived equivalences

P-Adic lifting problems and derived equivalences

... via derived equivalences of ...given derived equivalent finite-dimensional k-algebras Λ and Γ, the respective problems of lifting Λ to an O-order and lifting Γ to an O-order may appear to be of a ...

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Twisting Derived Equivalences

Twisting Derived Equivalences

... an elliptic fibration over a P 1 fibration over B, and the derived equivalence respects this elliptic fibration structure. If it works, this reasoning will only be birational, and refining it to an actual ...

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Derived equivalences for symmetric groups and sl2- categorification

Derived equivalences for symmetric groups and sl2- categorification

... the derived category. The key step in the proof for the derived category is the case of a minimal categorification, where we show that the complex has homology concentrated in one degree ...the ...

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P-Adic lifting problems and derived equivalences

P-Adic lifting problems and derived equivalences

... Permanent repository link: http://openaccess.city.ac.uk/13179/ Link to published version: http://dx.doi.org/10.1016/j.jalgebra.2012.01.015 Copyright and reuse: City Research Online aims [r] ...

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On Perverse Equivalences and Rationality

On Perverse Equivalences and Rationality

... of derived equivalences between A and B are compositions of perverse equivalences, for instance if P is ...the derived equivalence between A and B predicted by Brou´ e [2, §6] to arise from ...

7

On stable equivalences and blocks with one simple module

On stable equivalences and blocks with one simple module

... various derived equivalences at local levels. Since stable equivalences between block algebras preserve the character group L 0 (B) of generalised characters which vanish on p-regular elements, ...

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Descent of Equivalences and Character Bijections

Descent of Equivalences and Character Bijections

... Categorical equivalences between block algebras of finite groups - such as Morita and derived equivalences - are well-known to induce character bijections which commute with the Galois groups of ...

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On equivalences for cohomological Mackey functors

On equivalences for cohomological Mackey functors

... permeable derived equivalences (that is, derived equivalences induced by Rickard complexes which preserve complexes of p-permutation ...of derived equivalences for endomorphism ...

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Model Structures on Diagram Categories

Model Structures on Diagram Categories

... Definition 4.20. A cofibrantly generated model category, M, is a model category such that there exist sets of morphisms I, J called the generating cofibrations and the generating acyclic cofibrations respectively such ...

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Acquiring Translation Equivalences of Multiword Expressions by Normalized Correlation Frequencies

Acquiring Translation Equivalences of Multiword Expressions by Normalized Correlation Frequencies

... To address the above problem, some methods have been proposed for extending word align- ments to phrase alignments. For example, Och et al. (1999) proposed the so-called grow-diag- final heuristic method for extending ...

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Noncommutative Knörrer type equivalences via noncommutative resolutions of singularities

Noncommutative Knörrer type equivalences via noncommutative resolutions of singularities

... For the equivalences between (b) and (c) and the definition of qgr-construction for non- noetherian algebras see [Smi12] - in particular, Theorem 7.2. The equivalence between the categories in (c) and (d) follows ...

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On order equivalences between distance and similarity measures on sequences and trees

On order equivalences between distance and similarity measures on sequences and trees

... Our findings on the various order-relating conjec- tures concern notions with specific, though widely used, definitions (Defs.1, 2, 3 and 4). There are other closely related notions, and the corresponding ques- tions ...

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A Note on Some Equivalences of Operators and Topology of Invariant Subspaces

A Note on Some Equivalences of Operators and Topology of Invariant Subspaces

... Thus Theorem 4.4 ensures that an operator quasisimilar to a non- scalar normal operator has a non-trivial hyperinvariant subspace.. The following result is a strengthenin[r] ...

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Trivial source bimodule rings for blocks and p-permutation equivalences

Trivial source bimodule rings for blocks and p-permutation equivalences

... p-permutation equivalences versus isotypies is that the rather technical compatibility conditions of an isotypy get replaced by a condition which is simpler in that it does not refer to the local structure of the ...

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Equivalences between three presentations of orthogonal and symplectic Yangians

Equivalences between three presentations of orthogonal and symplectic Yangians

... It should thus be possible to obtain analogous results for quantum affine algebras: for instance, a complete proof of the equivalence of the original definition see Section 4 in [Dr1] wi[r] ...

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Varieties in block theory

Varieties in block theory

... from derived or stable equivalences of Morita type between block algebras are invertible not only with respect to the canonical symmetrizing forms but in fact with respect to any symmetrizing form; we state ...

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Integrable derivations and stable equivalences of Morita type

Integrable derivations and stable equivalences of Morita type

... Morita equivalences between finite-dimensional ...stable equivalences of Morita type between symmetric algebras over an arbitrary complete discrete valuation ring ...

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On  relations  between  CCZ-   and  EA-equivalences

On relations between CCZ- and EA-equivalences

... For quadratic APN functions it is known that applying the CCZ-equivalence it is possible to ob- tain functions which cannot be obtained using the EA-equivalence and the inverse transform[r] ...

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