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12
Middle convolution of Fuchsian systems and the construction of rigid differential systems
, 2004
"... In [6], a purely algebraic analogon of Katz ’ middle convolution functor (see [10]) is given. In this paper, we find an explicit RiemannHilbert correspondence for this functor. This leads to a construction algorithm for differential systems which correspond to rigid local systems on the punctured a ..."
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Cited by 15 (3 self)
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In [6], a purely algebraic analogon of Katz ’ middle convolution functor (see [10]) is given. In this paper, we find an explicit RiemannHilbert correspondence for this functor. This leads to a construction algorithm for differential systems which correspond to rigid local systems on the punctured
Thick subcategories of the . . .
"... We classify thick subcategories of the bounded derived category of an abelian category A in terms of subcategories of A. The proof can be applied to characterize the localizing subcategories of the full derived category of A. As an application we prove an algebraic analogon of the telescope conject ..."
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We classify thick subcategories of the bounded derived category of an abelian category A in terms of subcategories of A. The proof can be applied to characterize the localizing subcategories of the full derived category of A. As an application we prove an algebraic analogon of the telescope
On the middle convolution
, 2003
"... In [9], a purely algebraic analogon of Katz ’ middle convolution functor (see [12]) is given. It is denoted by MCλ. In this paper, we present a cohomological interpretation of MCλ and find an explicit RiemannHilbert correspondence for this functor. This leads to an algorithm for the construction of ..."
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Cited by 8 (5 self)
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In [9], a purely algebraic analogon of Katz ’ middle convolution functor (see [12]) is given. It is denoted by MCλ. In this paper, we present a cohomological interpretation of MCλ and find an explicit RiemannHilbert correspondence for this functor. This leads to an algorithm for the construction
Extensions of Super Lie Algebras
, 2001
"... Abstract. We study (nonabelian) extensions of a given super Lie algebra, identify a cohomological obstruction to the existence, and interpret it in terms of the super analogon of the HochschildSerre spectral sequence. A striking analogy to the setting of covariant exterior derivatives, curvature, ..."
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Abstract. We study (nonabelian) extensions of a given super Lie algebra, identify a cohomological obstruction to the existence, and interpret it in terms of the super analogon of the HochschildSerre spectral sequence. A striking analogy to the setting of covariant exterior derivatives, curvature
An Algebraic Framework for Discrete Tomography: Revealing the Structure of Dependencies
, 2009
"... Discrete tomography is concerned with the reconstruction of images that are defined on a discrete set of lattice points from their projections in several directions. The range of values that can be assigned to each lattice point is typically a small discrete set. In this paper we present a framework ..."
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Cited by 1 (0 self)
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framework for studying these problems from an algebraic perspective, based on Ring Theory and Commutative Algebra. A principal advantage of this abstract setting is that a vast body of existing theory becomes accessible for solving Discrete Tomography problems. We provide proofs of several new results
Isomorphism conjecture for homotopy Ktheory and groups acting on trees
, 2008
"... We discuss an analogon to the FarrellJones Conjecture for homotopy algebraic Ktheory. In particular, we prove that if a group G acts on a tree and all isotropy groups satisfy this conjecture, then G satisfies this conjecture. This result can be used to get rational injectivity results for the asse ..."
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Cited by 36 (13 self)
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We discuss an analogon to the FarrellJones Conjecture for homotopy algebraic Ktheory. In particular, we prove that if a group G acts on a tree and all isotropy groups satisfy this conjecture, then G satisfies this conjecture. This result can be used to get rational injectivity results
SU(2) ACTIONANGLE VARIABLES
, 1993
"... Operator angleaction variables are studied in the frame of the SU(2) algebra, and their eigenstates and coherent states are discussed. The quantum mechanical addition of actionangle variables is shown to lead to a novel non commutative Hopf algebra. The group contraction is used to make the connect ..."
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Operator angleaction variables are studied in the frame of the SU(2) algebra, and their eigenstates and coherent states are discussed. The quantum mechanical addition of actionangle variables is shown to lead to a novel non commutative Hopf algebra. The group contraction is used to make
Dmitri Alekseevsky Peter W. Michor Wolfgang Ruppert
"... . We study (nonabelian) extensions of a given super Lie algebra, identify a cohomological obstruction to the existence, and interpret it in terms of the super analogon of the HochschildSerre spectral sequence. A striking analogy to the setting of covariant exterior derivatives, curvature, and the ..."
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. We study (nonabelian) extensions of a given super Lie algebra, identify a cohomological obstruction to the existence, and interpret it in terms of the super analogon of the HochschildSerre spectral sequence. A striking analogy to the setting of covariant exterior derivatives, curvature
Modular Wedge Localization and the d=1+1
, 1997
"... In this paper I continue the study of the new nonperturbative framework of modular localization and its constructive use in the d=1+1 KarowskiWeiszSmirnov formfactor program. Particular attention is focussed on the connection of the (ZamolodchikovFaddeev) algebraic structure and its relation to t ..."
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In this paper I continue the study of the new nonperturbative framework of modular localization and its constructive use in the d=1+1 KarowskiWeiszSmirnov formfactor program. Particular attention is focussed on the connection of the (ZamolodchikovFaddeev) algebraic structure and its relation
Equivariant cyclic homology InauguralDissertation zur Erlangung des Doktorgrades der Naturwissenschaften im Fachbereich Mathematik
, 2003
"... und untersucht. Dies kann als eine nichtkommutative Erweiterung der klassischen äquivarianten de RhamKohomologie angesehen werden. Bei der äquivarianten Verallgemeinerung der zyklischen Theorie treten einige vollkommen neuartige Phänomene auf. Von zentraler Bedeutung ist die Tatsache, dass die ..."
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zugrundeliegenden Objekte der Theorie nicht länger Kettenkomplexe im Sinne der homologischen Algebra sind. Eine Konsequenz hiervon ist, dass im äquivarianten Kontext im wesentlichen nur die periodische zyklische Homologie sinnvoll definiert werden kann. Wir zeigen, dass die äquivariante bivariante periodische
Results 1  10
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