Search Results - "Wagemann, Friedrich"

Enhanced Leibniz Algebras: Structure Theorem and Induced Lie 2-Algebra by Strobl, Thomas, Wagemann, Friedrich

“…An enhanced Leibniz algebra is an algebraic struture that arises in the context of particular higher gauge theories describing self-interacting gerbes. It…”
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Cohomology of Leibniz Algebras by Wagemann, Friedrich

“…This is a survey on new developments in the cohomology of Leibniz algebras for the Deutsche Mathematiker Vereinigung. We will mainly report on results with…”
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A cocycle model for topological and Lie group cohomology by WAGEMANN, FRIEDRICH, WOCKEL, CHRISTOPH

“…We propose a unified framework in which the different constructions of cohomology groups for topological and Lie groups can all be treated on an equal footing…”
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Lie rackoids integrating Courant algebroids by Laurent-Gengoux, Camille, Wagemann, Friedrich

“…We construct an infinite-dimensional Lie rackoid Y which hosts an integration of the standard Courant algebroid. As a set, Y = C ∞ ( [ 0 , 1 ] , T ∗ M ) for a…”
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Sympathetic Lie algebras and adjoint cohomology for Lie algebras by Burde, Dietrich, Wagemann, Friedrich

“…We study sympathetic (i.e., perfect and complete) Lie algebras. Among other topics they arise in the study of adjoint Lie algebra cohomology. Here a motivation…”
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Ext groups in the category of bimodules over a simple Leibniz algebra by Mugniery, Jean, Wagemann, Friedrich

“…In this article, we generalize Loday and Pirashvili's [11] computation of the Ext-category of Leibniz bimodules for a simple Lie algebra to the case of a…”
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Deformation quantization of Leibniz algebras by Dherin, Benoit, Wagemann, Friedrich

“…In this paper, we use the local integration of a Leibniz algebra h using a Baker–Campbell–Hausdorff type formula in order to deformation quantize its linear…”
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On Leibniz cohomology by Feldvoss, Jörg, Wagemann, Friedrich

“…In this paper we prove the Leibniz analogue of Whitehead's vanishing theorem for the Chevalley-Eilenberg cohomology of Lie algebras. As a consequence, we…”
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On the cohomology of solvable Leibniz algebras by Feldvoss, Jörg, Wagemann, Friedrich

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ON 2-HOLONOMY by ABBASPOUR, HOSSEIN, WAGEMANN, FRIEDRICH

“…We construct a cycle in higher Hochschild homology associated to the two-dimensional torus which represents 2-holonomy of a nonabelian gerbe in the same way as…”
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Representations of Crossed Modules and Other Generalized Yetter-Drinfel’d Modules by Lebed, Victoria, Wagemann, Friedrich

“…The Yang-Baxter equation plays a fundamental role in various areas of mathematics. Its solutions, called braidings, are built, among others, from…”
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Lie rackoids by Laurent-Gengoux, Camille, Wagemann, Friedrich

“…We define a new differential geometric structure, called Lie rackoid. A Lie rackoid differentiates to Leibniz algebroids in a similar way as Lie groupoids…”
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Algebraic deformation quantization of Leibniz algebras by Alexandre, Charles, Bordemann, Martin, Rivière, Salim, Wagemann, Friedrich

“…In this paper we focus on a certain self-distributive multiplication on coalgebras, which leads to so-called rack bialgebra. We construct canonical rack…”
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More remarks on the cohomology of Krichever–Novikov algebras by Wagemann, Friedrich

“…This article is a continuation of previous work on the cohomology of Krichever–Novikov algebras (Wagemann in Lett Math Phys 47:173–177, 1999 ). We extend here…”
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Cohomology of perfect Lie algebras by Burde, Dietrich, Wagemann, Friedrich

“…We study the adjoint cohomology of perfect Lie algebras over the complex numbers. For the family of perfect Lie algebras $\mathfrak{g}=\mathfrak{sl}_2(\Bbb…”
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Tensor products of Leibniz bimodules and Grothendieck rings by Feldvoss, Jörg, Wagemann, Friedrich

“…In this paper we define three different notions of tensor products for Leibniz bimodules. The ``natural" tensor product of Leibniz bimodules is not always a…”
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On the String Lie Algebra by Rivière, Salim, Wagemann, Friedrich

“…We construct an abelian representative for the crossed module associated to the string Lie algebra. We show how to apply this construction in order to define…”
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Deformations of Lie algebras of vector fields arising from families of schemes by Wagemann, Friedrich

“…Fialowski and Schlichenmaier constructed global deformations of the infinitesimally and formally rigid Lie algebra of polynomial vector fields on the circle…”
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On Lie Algebra Crossed Modules by Wagemann, Friedrich

“…The goal of this article is to construct a crossed module representing the cocycle ⟨[,],⟩ generating H 3 ( ;ℂ) for a simple complex Lie algebra …”
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Associative algebra deformations of Connes–Moscovici's Hopf algebra H 1 by Fialowski, Alice, Wagemann, Friedrich

“…We compute the second Hochschild cohomology space HH 2 ( H 1 ) of Connes–Moscovici's Hopf algebra H 1 , giving the infinitesimal deformations (up to…”
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