activity
19972018
most citedSmooth Version of Johnson's Problem Concerning Derivations of Group Algebras

15 citations · 52 across the 15 of their papers we have counts for

collaborators

16 papers

math.RT2018

Derivations of Group Algebras and Hochschild cohomology

A. S. Mishchenko

The Hochschild homology and cohomology group can be described in terms of the homology and cohomology of the classifying space of the groupoid of the adjoint action of the group un…

math.AT2018★ 15 cited

Smooth Version of Johnson's Problem Concerning Derivations of Group Algebras

A. A. Arutyunov, A. S. Mishchenko

A description of the algebra of outer derivations of a group algebra of a finitely presented discrete group is given in terms of the Cayley complex of the groupoid of the adjoint a…

math.RA2017★ 3 cited

Derivations of Group Algebras

A. A. Arutyunov, A. S. Mishchenko, A. I. Shtern

In the paper, a method of describing the outer derivations of the group algebra of a finitely presentable group is given. The description of derivations is given in terms of charac…

math.AT2017★ 1 cited

Some results on the Mackenzie obstruction for transitive Lie algebroids

Alexander S. Mishchenko, Leanh Nguyen

The preprint is prepared as description of results that were obtained during joint scientific project No: 71NC /2015/VNCCCT on the VIASM (Vietnam Institute for Advanced Study in Ma…

math.AT2013★ 5 cited

Description of coupling in the category of transitive Lie algebroids

Xiaoyu Li, Alexander S. Mishchenko

In our previous paper (arXiv:1306.5449) we have given a sufficient and necessary condition when the coupling between Lie algebra bundle (LAB) and the tangent bundle exists in the s…

math.AT2013★ 4 cited

The Existence of Coupling in the Category of Transitive Lie Algebroid

Xiaoyu Li, Alexander S. Mishchenko

The coupling of the tangent bundle with the Lie algebra bundle (K.Mackenzie,2005, Definition 7.2.2) plays the crucial role in the classification of the transitive Lie alge…