Lie Cebirlerinde Çaprazlanmış köşe

Abstract

Bu çalışmada, lie cebirlerinde çapraz köşeyi tanımlıyoruz ve lie cebirlerinde çapraz köşe kategorisi ile Moore kompleksinin uzunluğu 2 olan indirgenmiş simplisel lie cebirleri kategorisi arasındaki denkliği oluşturuyoruz.

Keywords

• lie cebir
• çaprazlanmış modül
• çaprazlanmış köşe

Crossed Corner of Lie Algebras

Abstract

In this work, we explore the concept of crossed corners in lie algebras and establish a connection between the category of crossed corners of lie algebras and the category of reduced simplicial lie algebras with Moore complex has length 2.

Keywords

• lie algebra
• crossed module
• crossed corner

Ethical Statement

The study is complied with research and publication ethics.

Thanks

This study was developed from Işıl Zekiye Kurtuluş’s master's thesis.

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