Browsing 2019 by MFO Scientific Program "OWLF 2018"

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The Becker-Gottlieb Transfer: a Geometric Description

[OWP-2019-13] Wang, Yi-Sheng (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] Rubio y Degrassi, Lleonard; Schroll, Sibylle; Solotar, Andrea (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] Linckelmann, Markus; Rubio y Degrassi, Lleonard (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. ...