# 66390

## Автор(ов):

1

Параметры публикации

Тезисы доклада

## Название:

Cohomology of the n-categories and derivations in the group algebras

## Наименование конференции:

• International Conference on Topology and its Applications (Nafpaktos, Greece, 2018)

## Наименование источника:

• Abstracts Book of the International Conference on Topology and its Applications (Nafpaktos, Greece, 2018)

• Nafpaktos

## Издательство:

• University of Patras

2018

## Страницы:

24
Аннотация
This work represents the concept of an n-groupoid Γ n and ncharacters χn on n-groupoids as complex-valued maps from spaces of different classes of morphisms satisfying the condition χn(ψ◦kϕ) = χn(ψ)+χn(ϕ) for any possible compositions. A sequence of spaces of n-characters and morphisms between them is constructed and its accuracy is shown. This construction has important application for describing the derivations in a group algebras. In particular, this approach allows us to study the algebra of external derivations from a new point of view, and also to construct some interesting examples. The work was carried out under the guidance of Arutyunov A. A.. And it is based on the Mishchenko A. S. ideas.

## Библиографическая ссылка:

Алексеев А.В. Cohomology of the n-categories and derivations in the group algebras / Abstracts Book of the International Conference on Topology and its Applications (Nafpaktos, Greece, 2018). Nafpaktos: University of Patras, 2018. С. 24.