Year: 2025
Type: article
Abstract: The primary goal of this study is to explore the Triple Action of Representation Lie Algebras (ATHS) with unique characteristics on Lie algebra using Schur's lemma , which states that the action of the tensor product of Lie algebras representation has interesting property. This involves examining the interaction of Lie algebra representations, focusing on specific actions within Lie algebras. A new approach to the tensor product and direct sum for Lie algebra representations has been introduced. Additionally, the study explores the relationship between the actions of Hom space and tensor product. The main goal is to achieve results on Lie algebra representations by utilizing a new structure comprising six representations and their corresponding actions.
Authors: Shahad Hashim, Taghreed Majeed
Institutions: University of Tikrit, Mustansiriyah University
Language: English
Topic: Advanced Topics in Algebra
Subfield: Algebra and Number Theory
Field: Mathematics
Domain: Physical Sciences
Open Access status: diamond
OpenAlex ID: W4411803788