33 citations · 90 across the 37 of their papers we have counts for
12 papers · 1 filter
Ext groups in the category of bimodules over a simple Leibniz algebra
Jean Mugniery, Friedrich Wagemann
In this article, we generalize Loday and Pirashvili's [10] computation of the Ext-category of Leibniz bimodules for a simple Lie algebra to the case of a simple (non Lie) Leibniz a…
Spectral Sequences For Commutative Lie Algebras
Friedrich Wagemann
We construct some spectral sequences as tools for computing commutative cohomology of commutative Lie algebras in characteristic 2. In a first part, we focus on a Hochschild-Serre-…
On Leibniz cohomology
Jörg Feldvoss, Friedrich Wagemann
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 obtain the second Whitehea…
Enhanced Leibniz Algebras: Structure Theorem and Induced Lie 2-Algebra
Thomas Strobl, Friedrich Wagemann
An enhanced Leibniz algebra is an algebraic struture that arises in the context of particular higher gauge theories describing self-interacting gerbes. It consists of a Leibniz alg…
Algebraic deformation quantization of Leibniz algebras
Charles Alexandre, Martin Bordemann, Salim Riviere +1
In this paper we focus on a certain self-distributive multiplication on coalgebras, which leads to so-called rack bialgebra. We construct canon-ical rack bialgebras (some kind of e…
A universal enveloping algebra for cocommutative rack bialgebras
Ulrich Kraehmer, Friedrich Wagemann
We construct a bialgebra object in the category of linear maps LM from a cocommutative rack bialgebra. The construction does extend to some non-cocommutative rack bialgebras, as is…
Lie rackoids integrating Courant algebroids
Camille Laurent-Gengoux, Friedrich Wagemann
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 compact manifold M.…
Holomorphic current groups -- Structure and Orbits
Martin Laubinger, Friedrich Wagemann
Let K be a finite-dimensional, 1-connected complex Lie group, and let Σ_k=Σ- {p_1,\ldots,p_k\} be a compact connected Riemann surface Σ, from which we have extracted k > 0 distinct…
On 2-Holonomy
Hossein Abbaspour, Friedrich Wagemann
We construct a cycle in higher Hochschild homology associated to the 2-dimensional torus which represents 2-holonomy of a non-abelian gerbe in the same way the ordinary holonomy of…
A Cocycle Model for Topological and Lie Group Cohomology
Friedrich Wagemann, Christoph Wockel
We propose a unified framework in which the different constructions of cohomology groups for topological and Lie groups can all be treated on equal footings. In particular, we show…
Making Lifting Obstructions Explicit
Karl-Hermann Neeb, Friedrich Wagemann, Christoph Wockel
If P \to X is a topological principal K-bundle and \hat K a central extension of K by Z, then there is a natural obstruction class δ_1(P) in \check H^2(X,\uline Z) in sheaf cohomol…
Obstruction classes of crossed modules of Lie algebroids and Lie groupoids linked to existence of principal bundles
Camille Laurent-Gengoux, Friedrich Wagemann
Let K be a Lie group and P be a K-principal bundle on a manifold M. Suppose given furthermore a central extension 1\to Z\to \hat{K}\to K\to 1 of K. It is a classical question wheth…