# 66389

## Автор(ов):

1

Параметры публикации

Тезисы доклада

## Название:

Complex of n-groupoids and derivations of group algebras

## Наименование конференции:

• International Workshop on Operator Theory and its Applications (IWOTA 2019, Lisbon)

## Наименование источника:

• Abstracts of the International Workshop on Operator Theory and its Applications (IWOTA 2019, Lisbon)

• Lisbon

## Издательство:

• Instituto Superior Técnico

2019

## Страницы:

https://iwota2019.math.tecnico.ulisboa.pt/abstracts?ss=25#abstract-5215
Аннотация
This work represents the concept of an n -groupoid Γ n and n-characters χ n on n -groupoids as complex-valued maps from spaces of different classes of morphisms satisfying the condition χ n ( ψ ∘ k φ ) = χ n ( ψ ) + χ n ( 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. Complex of n-groupoids and derivations of group algebras / Abstracts of the International Workshop on Operator Theory and its Applications (IWOTA 2019, Lisbon). Lisbon: Instituto Superior Técnico, 2019. С. https://iwota2019.math.tecnico.ulisboa.pt/abstracts?ss=25#abstract-5215.