Browsing 2019 by MFO Scientific Program "OWLF 2018"
Now showing items 1-3 of 3
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The Becker-Gottlieb Transfer: a Geometric Description
[OWP-2019-13] (Mathematisches Forschungsinstitut Oberwolfach, 2019-05-14)In this note, we examine geometric aspects of the Becker-Gottlieb transfer in terms of the Umkehr and index maps, and rework some classic index theorems, using the cohomological formulae of the Becker-Gottlieb transfer. ... -
The First Hochschild Cohomology as a Lie Algebra
[OWP-2019-09] (Mathematisches Forschungsinstitut Oberwolfach, 2019-04-16)In this paper we study sufficient conditions for the solvability of the first Hochschild cohomology of a finite dimensional algebra as a Lie algebra in terms of its Ext-quiver in arbitrary characteristic. In particular, ... -
On the Lie Algebra Structure of $HH^1(A)$ of a Finite-Dimensional Algebra A
[OWP-2019-10] (Mathematisches Forschungsinstitut Oberwolfach, 2019-04-17)Let $A$ be a split finite-dimensional associative unital algebra over a field. The first main result of this note shows that if the Ext-quiver of $A$ is a simple directed graph, then $HH^1(A)$ is a solvable Lie algebra. ...