A. Semenov

activity

20192022

collaborators

3 papers

math.KT2022

$B V$ -structure on Hochschild cohomology for exceptional local algebras of quaternion type. Case of the small parameter

Andrei V. Semenov

This is the second paper in the cycle of articles about $B V$ -structure on Hochshild cohomology of exceptional algebras of quaternion type. We give $B V$ -structure's full description…

math.GR2021

On generating sets of infinite symmetric group

Andrei V. Semenov, Aleksandra Denisova

It was shown that in a group of bijections of an infinite set some families of subsets, related to the cardinality of some eigenspaces, are generating. Besides, we derived a criter…

math.AT2019

A Simple proof of Curtis' connectivity theorem for Lie powers

Sergei O. Ivanov, Vladislav Romanovskii, Andrei Semenov

We give a simple proof of the Curtis' theorem: if $A_{∙}$ is $k$ -connected free simplicial abelian group, then $L^{n} (A_{∙})$ is an $k + ⌈ lo g_{2} n ⌉$ -connected simp…

BV-structure on Hochschild cohomology for exceptional local algebras of quaternion type. Case of the small parameter

On generating sets of infinite symmetric group

A Simple proof of Curtis' connectivity theorem for Lie powers

$B V$ -structure on Hochschild cohomology for exceptional local algebras of quaternion type. Case of the small parameter